| 1 | MODULE lib_feti |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE lib_feti *** |
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| 4 | !! Ocean solver : FETI library |
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| 5 | !!============================================================================== |
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| 6 | |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 9 | !! $Header$ |
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| 10 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | #if defined key_feti |
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| 13 | !! feti_creadr |
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| 14 | !! feti_prext |
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| 15 | !! feti_init |
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| 16 | !! feti_iclr |
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| 17 | !! feti_vclr |
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| 18 | !! feti_vmov |
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| 19 | !! feti_vneg (used in lib_feti) |
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| 20 | !! feti_vsub |
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| 21 | !! feti_vadd (used in lib_feti) |
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| 22 | !! feti_ldlt (used in lib_feti) |
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| 23 | !! feti_desremo (used in lib_feti) |
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| 24 | !! feti_mxv (used in lib_feti) |
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| 25 | !! feti_mxvadd (used in lib_feti) |
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| 26 | !! feti_saut (used in lib_feti) |
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| 27 | !! feti_moyen (used in lib_feti) |
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| 28 | !! feti_assemb (used in lib_feti) |
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| 29 | !! feti_poids |
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| 30 | !! feti_probit (used in lib_feti) |
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| 31 | !! feti_inisub |
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| 32 | !! feti_subound |
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| 33 | !! feti_subdir |
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| 34 | !! feti_listdir |
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| 35 | !! feti_blodir |
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| 36 | !! feti_numblo |
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| 37 | !! feti_blomat |
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| 38 | !! feti_blomat1 |
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| 39 | !! feti_nullsp |
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| 40 | !! feti_project (used in lib_feti) |
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| 41 | !! feti_etesolv (used in lib_feti) |
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| 42 | !! feti_osaxpy (used in lib_feti) |
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| 43 | !! feti_proe (used in lib_feti) |
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| 44 | !! feti_proet (used in lib_feti) |
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| 45 | !! feti_consrhs (used in lib_feti) |
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| 46 | !! feti_dualschur |
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| 47 | !! feti_extend (used in lib_feti) |
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| 48 | !! feti_restri (used in lib_feti) |
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| 49 | !! feti_halfint |
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| 50 | !! feti_front |
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| 51 | !! feti_calinv (used in lib_feti) |
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| 52 | !! feti_nbdia (used in lib_feti) |
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| 53 | !! feti_liblod (used in lib_feti) |
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| 54 | !! feti_liblos (used in lib_feti) |
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| 55 | !! feti_resloc |
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| 56 | !! feti_pblos (used in lib_feti) |
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| 57 | !! feti_pbloi (used in lib_feti) |
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| 58 | !! feti_proax |
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| 59 | !! |
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| 60 | !! EXTERNAL used (BLAS): sgemv, strsv, saxpy, irecv |
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| 61 | !! |
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| 62 | !! References : |
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| 63 | !! Guyon, M, Roux, F-X, Chartier, M and Fraunie, P, 1994 : |
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| 64 | !! A domain decomposition solver to compute the barotropic |
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| 65 | !! component of an OGCM in the parallel processing field. |
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| 66 | !! Ocean Modelling, issue 105, december 94. |
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| 67 | !! |
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| 68 | !! Modifications : |
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| 69 | !! original : 98-02 (M. Guyon) |
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| 70 | !!------------------------------------------------------------------------ |
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| 71 | !! * Modules used |
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| 72 | USE lib_mpp ! distribued memory computing |
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| 73 | |
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| 74 | CONTAINS |
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| 75 | |
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| 76 | subroutine feti_creadr(ial,ialmax,lmax,ltab,iatab,chtab) |
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| 77 | ! ial = derniere adresse libre dans le super-tableau de longueur lmax . |
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| 78 | ! ltab = taille de la structure de donnee tab , d'adresse iatab . |
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| 79 | implicit none |
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| 80 | external mynode |
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| 81 | |
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| 82 | integer ial,ialmax,lmax,ltab,iatab |
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| 83 | integer iialmax,iibidon,mynode |
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| 84 | character(len=12) chtab |
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| 85 | |
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| 86 | iatab=ial |
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| 87 | ial=iatab+ltab |
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| 88 | ialmax=max0(ial,ialmax) |
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| 89 | if(ial > lmax) then |
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| 90 | write(0,*)' creation de la structure de donnee ',chtab |
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| 91 | write(0,*)' depassement taille super-tableau :' |
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| 92 | write(0,*)' taille maximale , taille demandee :',lmax,ial |
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| 93 | stop |
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| 94 | endif |
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| 95 | |
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| 96 | !... test de la memoire |
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| 97 | |
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| 98 | iialmax=-ialmax |
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| 99 | call mpp_min(iialmax,1,iibidon) |
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| 100 | iialmax=-iialmax |
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| 101 | ! if(mynode() == 0)then |
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| 102 | ! write(0,*)' creation de la structure de donnee ',chtab |
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| 103 | ! write(0,*)'taille max vaut : ',iialmax |
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| 104 | ! endif |
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| 105 | |
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| 106 | end subroutine feti_creadr |
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| 107 | !*********************************************************************** |
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| 108 | subroutine feti_prext(n,x) |
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| 109 | implicit none |
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| 110 | integer n |
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| 111 | REAL(kind=8) x(n) |
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| 112 | REAL(kind=8) xmin,xmax |
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| 113 | integer i |
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| 114 | |
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| 115 | xmin=x(1) |
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| 116 | xmax=x(1) |
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| 117 | do i=2,n |
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| 118 | xmin=min(xmin,x(i)) |
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| 119 | xmax=max(xmax,x(i)) |
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| 120 | end do |
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| 121 | ! write(0,100)xmin,xmax |
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| 122 | 100 format(8d10.3) |
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| 123 | |
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| 124 | end subroutine feti_prext |
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| 125 | !********************************************************************* |
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| 126 | subroutine feti_init(noeuds,x) |
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| 127 | implicit none |
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| 128 | integer noeuds |
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| 129 | REAL(kind=8) x(noeuds) |
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| 130 | integer ji |
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| 131 | |
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| 132 | do ji=1,noeuds |
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| 133 | x(ji)=1. |
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| 134 | end do |
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| 135 | |
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| 136 | end subroutine feti_init |
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| 137 | !*********************************************************************** |
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| 138 | subroutine feti_iclr(n,x) |
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| 139 | implicit none |
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| 140 | integer n |
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| 141 | integer x(n) |
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| 142 | integer i |
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| 143 | |
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| 144 | do i=1,n |
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| 145 | x(i)=0 |
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| 146 | end do |
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| 147 | |
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| 148 | end subroutine feti_iclr |
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| 149 | !*********************************************************************** |
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| 150 | subroutine feti_vclr(n,x) |
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| 151 | implicit none |
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| 152 | integer n |
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| 153 | REAL(kind=8) x(n) |
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| 154 | integer i |
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| 155 | |
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| 156 | do i=1,n |
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| 157 | x(i)=0.e0 |
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| 158 | end do |
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| 159 | |
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| 160 | return |
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| 161 | end |
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| 162 | !*********************************************************************** |
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| 163 | subroutine feti_vmov(n,x,y) |
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| 164 | implicit none |
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| 165 | integer n |
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| 166 | REAL(kind=8) x(n),y(n) |
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| 167 | integer i |
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| 168 | do i=1,n |
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| 169 | y(i)=x(i) |
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| 170 | end do |
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| 171 | return |
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| 172 | end |
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| 173 | !*********************************************************************** |
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| 174 | subroutine feti_vneg(n,x,y) |
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| 175 | implicit none |
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| 176 | integer n |
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| 177 | REAL(kind=8) x(n),y(n) |
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| 178 | integer i |
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| 179 | |
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| 180 | do i=1,n |
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| 181 | y(i)=-x(i) |
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| 182 | end do |
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| 183 | |
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| 184 | return |
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| 185 | end |
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| 186 | !*********************************************************************** |
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| 187 | subroutine feti_vsub(n,x,y,z) |
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| 188 | implicit none |
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| 189 | integer n |
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| 190 | REAL(kind=8) x(n),y(n),z(n) |
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| 191 | integer i |
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| 192 | do i=1,n |
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| 193 | z(i)=x(i)-y(i) |
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| 194 | end do |
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| 195 | return |
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| 196 | end |
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| 197 | !*********************************************************************** |
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| 198 | subroutine feti_vadd(n,x,y,z) |
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| 199 | implicit none |
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| 200 | integer n |
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| 201 | REAL(kind=8) x(n),y(n),z(n) |
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| 202 | integer i |
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| 203 | |
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| 204 | do i=1,n |
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| 205 | z(i)=y(i)+x(i) |
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| 206 | end do |
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| 207 | |
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| 208 | return |
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| 209 | end |
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| 210 | !*********************************************************************** |
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| 211 | subroutine feti_ldlt(n,a,d,v,ndlblo,lisblo,nmdlblo,j0) |
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| 212 | |
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| 213 | !...ndlblo nombre de liberte bloques = nombre de pivots nuls = dim(Ker(Ep)) |
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| 214 | |
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| 215 | !...nmdlblo = Max (ndlblo(Ep)) <= superstructure management in f77 context |
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| 216 | ! p=1,Np |
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| 217 | |
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| 218 | implicit none |
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| 219 | integer n,ndlblo,nmdlblo |
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| 220 | integer j0 |
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| 221 | REAL(kind=8) a(n,n),v(n),d(n) |
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| 222 | integer lisblo(nmdlblo) |
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| 223 | integer i,j,k |
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| 224 | REAL(kind=8) piv,epsilo |
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| 225 | |
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| 226 | ! pivot de reference . |
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| 227 | piv=a(1,1) |
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| 228 | ! epsilon . |
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| 229 | epsilo=1.e-10 |
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| 230 | ! factorisation de Crout d'une matrice pleine . |
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| 231 | do j = 1 , n |
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| 232 | ! calcul du produit de la ligne numero j par la diagonale . |
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| 233 | do k = 1 , j - 1 |
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| 234 | v(k) = a(j,k) * a(k,k) |
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| 235 | end do |
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| 236 | ! calcul des termes de la partie inferieure de la colonne . |
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| 237 | call sgemv('N',n-j+1,j-1,-1.e0,a(j,1),n,v,1,1.e0,a(j,j),1) |
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| 238 | ! detection des pivots nuls . |
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| 239 | if(a(j,j) < (piv*epsilo)) then |
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| 240 | ndlblo=ndlblo+1 |
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| 241 | lisblo(ndlblo)=j0+j |
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| 242 | do i=1,j-1 |
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| 243 | a(i,j)=0.e0 |
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| 244 | end do |
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| 245 | do i=j+1,n |
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| 246 | a(j,i)=0.e0 |
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| 247 | end do |
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| 248 | a(j,j)=0.e0 |
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| 249 | d(j)=0.e0 |
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| 250 | else |
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| 251 | piv=a(j,j) |
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| 252 | d(j)=1.e0/a(j,j) |
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| 253 | do i = j+1 , n |
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| 254 | a(i,j) = a(i,j) * d(j) |
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| 255 | end do |
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| 256 | endif |
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| 257 | end do |
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| 258 | ! recopie de la partie triangulaire superieure . |
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| 259 | do i = 1, n |
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| 260 | do j = i+1, n |
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| 261 | a(i,j)=a(j,i) |
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| 262 | end do |
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| 263 | end do |
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| 264 | do i=1,n |
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| 265 | a(i,i)=d(i) |
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| 266 | end do |
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| 267 | |
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| 268 | return |
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| 269 | end |
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| 270 | !**********************************************************************c |
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| 271 | subroutine feti_desremo(n,j0,a,y,x) |
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| 272 | implicit none |
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| 273 | integer n,i,j,j0 |
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| 274 | REAL(kind=8) a(n,n),x(n),y(n) |
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| 275 | |
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| 276 | ! descente remontee du systeme . |
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| 277 | ! initialisation du vecteur resultat . |
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| 278 | do i=1,n |
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| 279 | x(i)=y(i) |
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| 280 | end do |
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| 281 | ! descente du systeme L x = x , L est a diagonale unitaire . |
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| 282 | call strsv('L','N','U',n-j0,a(j0+1,j0+1),n,x(j0+1),1) |
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| 283 | ! division par la diagonale . |
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| 284 | do j=j0+1,n |
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| 285 | x(j)=x(j)*a(j,j) |
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| 286 | end do |
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| 287 | ! remontee du systeme U x = x , U est a diagonale unitaire . |
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| 288 | call strsv('U','N','U',n-j0,a(j0+1,j0+1),n,x(j0+1),1) |
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| 289 | |
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| 290 | return |
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| 291 | end |
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| 292 | !*********************************************************************** |
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| 293 | subroutine feti_mxv(n,m,a,x,y) |
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| 294 | ! calcul du produit matrice-vecteur : y = A x |
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| 295 | implicit none |
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| 296 | integer n,m |
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| 297 | REAL(kind=8) a(n,m),x(m),y(n) |
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| 298 | REAL(kind=8) alpha,beta |
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| 299 | ! initialisation du vecteur y . |
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| 300 | alpha=1.e0 |
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| 301 | beta=0.e0 |
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| 302 | call sgemv('N',n,m,alpha,a,n,x,1,beta,y,1) |
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| 303 | return |
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| 304 | end |
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| 305 | !**********************************************************************c |
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| 306 | subroutine feti_mxvadd(n,m,a,x,y) |
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| 307 | ! calcul du produit matrice-vecteur : y = y + A x |
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| 308 | implicit none |
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| 309 | integer n,m |
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| 310 | REAL(kind=8) a(n,m),x(m),y(n) |
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| 311 | REAL(kind=8) alpha,beta |
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| 312 | ! initialisation du vecteur y . |
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| 313 | |
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| 314 | alpha=1.e0 |
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| 315 | beta=1.e0 |
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| 316 | if((n > 0).and.(m > 0))then |
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| 317 | call sgemv('N',n,m,alpha,a,n,x,1,beta,y,1) |
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| 318 | endif |
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| 319 | |
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| 320 | return |
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| 321 | end |
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| 322 | !**********************************************************************c |
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| 323 | subroutine feti_saut(numnes,listnes, & |
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| 324 | plistin,numins,listin, & |
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| 325 | numnos,v,w,bufin,bufout) |
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| 326 | !! narea,numnos,v,w,bufin,bufout) |
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| 327 | |
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| 328 | ! computation of the jump of a field on the interfaces, in the case |
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| 329 | ! where subdomain number i is allocated to processor number i-1 . |
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| 330 | |
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| 331 | ! INPUTS : numnes = number of neighbouring subdomains |
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| 332 | ! listnes = list of neighbouring subdomains |
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| 333 | ! lint = list of inner interfaces |
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| 334 | ! lext = list of extern interfaces |
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| 335 | ! plistin = pointer of sublists of interface nodes |
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| 336 | ! numins = number of interface nodes |
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| 337 | ! listin = list of interface nodes |
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| 338 | ! narea = subdomain number |
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| 339 | ! numnos = number of nodes in the subdomain |
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| 340 | ! v = local field |
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| 341 | |
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| 342 | ! OUTPUTS : w = jump of v |
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| 343 | |
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| 344 | ! WORKSPACE : bufin = contributions of local field on interface |
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| 345 | ! bufout = contributions of outer fields on interface |
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| 346 | ! work |
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| 347 | implicit none |
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| 348 | ! external irecv |
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| 349 | !! integer irecv, work(100) |
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| 350 | !! integer numnes,numins,numnos,narea |
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| 351 | integer numnes,numins,numnos |
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| 352 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
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| 353 | REAL(kind=8) v(numnos),w(numins) |
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| 354 | REAL(kind=8) bufin(numins),bufout(numins) |
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| 355 | integer i,j,l |
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| 356 | integer mesg |
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| 357 | |
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| 358 | mesg=128 |
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| 359 | ! receiving the values of the outer fields on the interface |
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| 360 | ! do i=1,numnes |
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| 361 | ! l=(plistin(i+1)-plistin(i))*8 |
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| 362 | ! work(i)=irecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
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| 363 | ! end do |
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| 364 | ! gathering the values of the local field on the interface |
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| 365 | do i=1,numnes |
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| 366 | do j=plistin(i)+1,plistin(i+1) |
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| 367 | bufin(j)=v(listin(j)) |
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| 368 | end do |
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| 369 | end do |
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| 370 | ! sending the values of the local field on the interface |
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| 371 | do i=1,numnes |
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| 372 | l=(plistin(i+1)-plistin(i))*8 |
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| 373 | ! call mppsend(mesg+narea-1,bufin(plistin(i)+1),l,listnes(i)-1,0) |
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| 374 | call mppsend(mesg+listnes(i,3)-1,bufin(plistin(i)+1),l, & |
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| 375 | listnes(i,1)-1,0) |
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| 376 | end do |
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| 377 | ! computing the jump on each interface |
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| 378 | do i=1,numnes |
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| 379 | ! call msgwait(work(i)) |
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| 380 | l=(plistin(i+1)-plistin(i))*8 |
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| 381 | ! call mpprecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
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| 382 | call mpprecv(mesg+listnes(i,2)-1,bufout(plistin(i)+1),l) |
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| 383 | end do |
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| 384 | do j=1,numins |
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| 385 | w(j)=bufin(j)-bufout(j) |
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| 386 | end do |
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| 387 | |
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| 388 | return |
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| 389 | end |
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| 390 | !**********************************************************************c |
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| 391 | subroutine feti_moyen(numnes,listnes, & |
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| 392 | plistin,numins,listin, & |
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| 393 | narea,numnos,weight,v,w,bufin,bufout) |
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| 394 | |
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| 395 | ! averaging a field on the interfaces, in the case where subdomain |
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| 396 | ! number i is allocated to processor number i-1 . |
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| 397 | |
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| 398 | ! INPUTS : numnes = number of neighbouring subdomains |
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| 399 | ! listnes = list of neighbouring subdomains |
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| 400 | ! lint = list of inner interfaces |
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| 401 | ! lext = list of extern interfaces |
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| 402 | ! plistin = pointer of sublists of interface nodes |
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| 403 | ! numins = number of interface nodes |
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| 404 | ! listin = list of interface nodes |
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| 405 | ! narea = subdomain number |
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| 406 | ! numnos = number of nodes in the subdomain |
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| 407 | ! weight = weighting vector |
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| 408 | ! v = local field |
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| 409 | |
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| 410 | ! OUTPUTS : w = averaged field |
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| 411 | |
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| 412 | ! WORKSPACE : bufin = contributions of local field on interface |
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| 413 | ! bufout = contributions of outer fields on interface |
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| 414 | ! work |
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| 415 | implicit none |
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| 416 | ! external irecv |
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| 417 | !! integer irecv, work(100) |
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| 418 | integer numnes,numins,numnos,narea |
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| 419 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
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| 420 | REAL(kind=8) weight(numnos),v(numnos),w(numnos) |
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| 421 | REAL(kind=8) bufin(numins),bufout(numins) |
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| 422 | integer i,j,l,n |
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| 423 | integer mesg |
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| 424 | |
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| 425 | mesg=128*2 |
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| 426 | ! initialization |
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| 427 | call feti_vmov(numnos,v,w) |
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| 428 | ! receiving the values of the outer fields on the interface |
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| 429 | ! do i=1,numnes |
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| 430 | ! l=(plistin(i+1)-plistin(i))*8 |
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| 431 | ! work(i)=irecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
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| 432 | ! end do |
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| 433 | ! gathering the values of the local field on the interface |
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| 434 | do i=1,numnes |
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| 435 | do j=plistin(i)+1,plistin(i+1) |
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| 436 | bufin(j)=v(listin(j)) |
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| 437 | end do |
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| 438 | end do |
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| 439 | ! sending the values of the local field on the interface |
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| 440 | do i=1,numnes |
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| 441 | l=(plistin(i+1)-plistin(i))*8 |
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| 442 | ! call mppsend(mesg+narea-1,bufin(plistin(i)+1),l,listnes(i)-1,0) |
|---|
| 443 | call mppsend(mesg+listnes(i,3)-1,bufin(plistin(i)+1),l, & |
|---|
| 444 | listnes(i,1)-1,0) |
|---|
| 445 | end do |
|---|
| 446 | ! computing the jump on each interface |
|---|
| 447 | do i=1,numnes |
|---|
| 448 | ! call msgwait(work(i)) |
|---|
| 449 | l=(plistin(i+1)-plistin(i))*8 |
|---|
| 450 | ! call mpprecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
|---|
| 451 | call mpprecv(mesg+listnes(i,2)-1,bufout(plistin(i)+1),l) |
|---|
| 452 | end do |
|---|
| 453 | do j=1,numins |
|---|
| 454 | n=listin(j) |
|---|
| 455 | w(n)=w(n)+bufout(j) |
|---|
| 456 | end do |
|---|
| 457 | do n=1,numnos |
|---|
| 458 | w(n)=w(n)*weight(n) |
|---|
| 459 | end do |
|---|
| 460 | |
|---|
| 461 | return |
|---|
| 462 | end |
|---|
| 463 | !**********************************************************************c |
|---|
| 464 | subroutine feti_assemb(numnes,listnes, & |
|---|
| 465 | plistin,numins,listin, & |
|---|
| 466 | narea,numnos,v,w,bufin,bufout) |
|---|
| 467 | |
|---|
| 468 | ! assembling a field on the interfaces, in the case where subdomain |
|---|
| 469 | ! number i is allocated to processor number i-1 . |
|---|
| 470 | |
|---|
| 471 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 472 | ! listnes = list of neighbouring subdomains |
|---|
| 473 | ! lint = list of inner interfaces |
|---|
| 474 | ! lext = list of extern interfaces |
|---|
| 475 | ! plistin = pointer of sublists of interface nodes |
|---|
| 476 | ! numins = number of interface nodes |
|---|
| 477 | ! listin = list of interface nodes |
|---|
| 478 | ! narea = subdomain number |
|---|
| 479 | ! numnos = number of nodes in the subdomain |
|---|
| 480 | ! v = unassembled field |
|---|
| 481 | |
|---|
| 482 | ! OUTPUTS : w = assembled field |
|---|
| 483 | |
|---|
| 484 | ! WORKSPACE : bufin = contributions of local field on interface |
|---|
| 485 | ! bufout = contributions of outer fields on interface |
|---|
| 486 | ! work |
|---|
| 487 | implicit none |
|---|
| 488 | ! external irecv |
|---|
| 489 | !! integer irecv, work(100) |
|---|
| 490 | integer numnes,numins,numnos,narea |
|---|
| 491 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
|---|
| 492 | REAL(kind=8) v(numnos),w(numnos) |
|---|
| 493 | REAL(kind=8) bufin(numins),bufout(numins) |
|---|
| 494 | integer i,j,l,n |
|---|
| 495 | integer mesg |
|---|
| 496 | |
|---|
| 497 | mesg=128*3 |
|---|
| 498 | ! initialization |
|---|
| 499 | call feti_vmov(numnos,v,w) |
|---|
| 500 | ! receiving the values of the outer fields on the interface |
|---|
| 501 | ! do i=1,numnes |
|---|
| 502 | ! l=(plistin(i+1)-plistin(i))*8 |
|---|
| 503 | ! work(i)=irecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
|---|
| 504 | ! end do |
|---|
| 505 | ! gathering the values of the local field on the interface |
|---|
| 506 | do i=1,numnes |
|---|
| 507 | do j=plistin(i)+1,plistin(i+1) |
|---|
| 508 | bufin(j)=v(listin(j)) |
|---|
| 509 | end do |
|---|
| 510 | end do |
|---|
| 511 | ! sending the values of the local field on the interface |
|---|
| 512 | do i=1,numnes |
|---|
| 513 | l=(plistin(i+1)-plistin(i))*8 |
|---|
| 514 | ! write(90,*)'envoie a ',listnes(i),'de ',l,'octets' |
|---|
| 515 | ! write(90,*)'tag est : ',listnes(i,3) |
|---|
| 516 | ! call mppsend(mesg+narea-1,bufin(plistin(i)+1),l,listnes(i)-1,0) |
|---|
| 517 | call mppsend(mesg+listnes(i,3)-1,bufin(plistin(i)+1),l, & |
|---|
| 518 | listnes(i,1)-1,0) |
|---|
| 519 | end do |
|---|
| 520 | ! computing the jump on each interface |
|---|
| 521 | do i=1,numnes |
|---|
| 522 | ! call msgwait(work(i)) |
|---|
| 523 | l=(plistin(i+1)-plistin(i))*8 |
|---|
| 524 | ! write(90,*)'recoie de ',listnes(i),'de ',l,'octets' |
|---|
| 525 | ! write(90,*)'recois avec tag :',listnes(i,2) |
|---|
| 526 | ! call mpprecv(mesg+listnes(i)-1,bufout(plistin(i)+1),l) |
|---|
| 527 | call mpprecv(mesg+listnes(i,2)-1,bufout(plistin(i)+1),l) |
|---|
| 528 | end do |
|---|
| 529 | do j=1,numins |
|---|
| 530 | n=listin(j) |
|---|
| 531 | w(n)=w(n)+bufout(j) |
|---|
| 532 | end do |
|---|
| 533 | |
|---|
| 534 | return |
|---|
| 535 | end |
|---|
| 536 | !**********************************************************************c |
|---|
| 537 | !! subroutine feti_poids(numnes,listnes,plistin,numins,listin, & |
|---|
| 538 | !! narea,numnos,w,bufin,bufout) |
|---|
| 539 | subroutine feti_poids(numnes, numins,listin, & |
|---|
| 540 | numnos,w ) |
|---|
| 541 | |
|---|
| 542 | ! computation of the subdomain weighting vector, in the case where |
|---|
| 543 | ! subdomain number i is allocated to processor number i-1 . |
|---|
| 544 | |
|---|
| 545 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 546 | ! listnes = list of neighbouring subdomains |
|---|
| 547 | ! plistin = pointer of sublists of interface nodes |
|---|
| 548 | ! numins = number of interface nodes |
|---|
| 549 | ! listin = list of interface nodes |
|---|
| 550 | ! narea = subdomain number |
|---|
| 551 | ! numnos = number of nodes in the subdomain |
|---|
| 552 | |
|---|
| 553 | ! OUTPUTS : w = weighting vector |
|---|
| 554 | |
|---|
| 555 | ! WORKSPACE : bufin = contributions of local field on interface |
|---|
| 556 | ! bufout = contributions of outer fields on interface |
|---|
| 557 | ! work |
|---|
| 558 | implicit none |
|---|
| 559 | !! integer numnes,numins,numnos,narea |
|---|
| 560 | integer numnes,numins,numnos |
|---|
| 561 | !! integer listnes(numnes), plistin(numnes+1), listin(numins) |
|---|
| 562 | integer listin(numins) |
|---|
| 563 | REAL(kind=8) w(numnos) |
|---|
| 564 | !! REAL(kind=8) bufin(numins),bufout(numins) |
|---|
| 565 | integer j,n |
|---|
| 566 | |
|---|
| 567 | ! initialization |
|---|
| 568 | do n=1,numnos |
|---|
| 569 | w(n)=1.e0 |
|---|
| 570 | end do |
|---|
| 571 | ! computing the weight on each interface |
|---|
| 572 | do j=1,numins |
|---|
| 573 | n=listin(j) |
|---|
| 574 | w(n)=w(n)+1.e0 |
|---|
| 575 | end do |
|---|
| 576 | do n=1,numnos |
|---|
| 577 | w(n)=1.e0/w(n) |
|---|
| 578 | end do |
|---|
| 579 | |
|---|
| 580 | return |
|---|
| 581 | end |
|---|
| 582 | !**********************************************************************c |
|---|
| 583 | subroutine feti_probit(numnes,listnes,plistin,numins,listin, & |
|---|
| 584 | numnos,w,bitw) |
|---|
| 585 | |
|---|
| 586 | ! computing the local right-hand-side associated with a field |
|---|
| 587 | ! on the interface . |
|---|
| 588 | |
|---|
| 589 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 590 | ! listnes = list of neighbouring subdomains |
|---|
| 591 | ! plistin = pointer of sublists of interface nodes |
|---|
| 592 | ! numins = number of interface nodes |
|---|
| 593 | ! listin = list of interface nodes |
|---|
| 594 | ! numnos = number of nodes in the subdomain |
|---|
| 595 | ! w = interface field |
|---|
| 596 | |
|---|
| 597 | ! OUTPUTS : bitw = local right-hand side |
|---|
| 598 | |
|---|
| 599 | implicit none |
|---|
| 600 | integer numnes,numins,numnos |
|---|
| 601 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
|---|
| 602 | REAL(kind=8) w(numins) |
|---|
| 603 | REAL(kind=8) bitw(numnos) |
|---|
| 604 | integer i,j,n |
|---|
| 605 | |
|---|
| 606 | ! initialization |
|---|
| 607 | do n=1,numnos |
|---|
| 608 | bitw(n)=0.e0 |
|---|
| 609 | end do |
|---|
| 610 | ! assembling the values on the interfaces |
|---|
| 611 | do i=1,numnes |
|---|
| 612 | do j=plistin(i)+1,plistin(i+1) |
|---|
| 613 | n=listin(j) |
|---|
| 614 | bitw(n)=bitw(n)+w(j) |
|---|
| 615 | end do |
|---|
| 616 | end do |
|---|
| 617 | |
|---|
| 618 | return |
|---|
| 619 | end |
|---|
| 620 | !**********************************************************************c |
|---|
| 621 | subroutine feti_inisub(ni,nj,ibondi,ibondj,iperio, & |
|---|
| 622 | ibsw,ibnw,ibse,ibne, & |
|---|
| 623 | ninterf,ninterfc,nni,nnic) |
|---|
| 624 | implicit none |
|---|
| 625 | integer ni,nj,ibondi,ibondj,iperio |
|---|
| 626 | integer ibsw,ibnw,ibse,ibne |
|---|
| 627 | integer ibsw2,ibnw2,ibse2,ibne2 |
|---|
| 628 | integer ninterf,ninterfc,nni,nnic |
|---|
| 629 | ! integer i,j |
|---|
| 630 | |
|---|
| 631 | ! determination de la position du sous-domaine dans la grille |
|---|
| 632 | ! cela depnd de ibondi et ibondj |
|---|
| 633 | |
|---|
| 634 | ! nombre de sous-domaines voisins et de la longueur du tableau des |
|---|
| 635 | ! noeuds voisins |
|---|
| 636 | |
|---|
| 637 | ! initialisation |
|---|
| 638 | |
|---|
| 639 | ninterf=0 |
|---|
| 640 | nni=0 |
|---|
| 641 | |
|---|
| 642 | !...first, the "segment-points" |
|---|
| 643 | |
|---|
| 644 | if((ibondi == 2).AND.(iperio /= 1))then |
|---|
| 645 | |
|---|
| 646 | ! la periodicite : pas d'interface east / west si nbondi = 2 |
|---|
| 647 | ! ET nperio != 1 |
|---|
| 648 | |
|---|
| 649 | ! elseif(iperio == 1) then |
|---|
| 650 | |
|---|
| 651 | !...ca doit marcher!? |
|---|
| 652 | |
|---|
| 653 | else |
|---|
| 654 | |
|---|
| 655 | ! west |
|---|
| 656 | |
|---|
| 657 | if(ibondi /= -1)then |
|---|
| 658 | ninterf=ninterf+1 |
|---|
| 659 | nni=nni+nj+1 |
|---|
| 660 | endif |
|---|
| 661 | |
|---|
| 662 | ! east |
|---|
| 663 | |
|---|
| 664 | if(ibondi /= 1)then |
|---|
| 665 | ninterf=ninterf+1 |
|---|
| 666 | nni=nni+nj+1 |
|---|
| 667 | endif |
|---|
| 668 | |
|---|
| 669 | endif |
|---|
| 670 | |
|---|
| 671 | ! south |
|---|
| 672 | |
|---|
| 673 | if(ibondj /= -1.AND.ibondj /= 2)then |
|---|
| 674 | ninterf=ninterf+1 |
|---|
| 675 | nni=nni+ni+1 |
|---|
| 676 | endif |
|---|
| 677 | |
|---|
| 678 | ! north |
|---|
| 679 | |
|---|
| 680 | if(ibondj /= 1.AND.ibondj /= 2)then |
|---|
| 681 | ninterf=ninterf+1 |
|---|
| 682 | nni=nni+ni+1 |
|---|
| 683 | endif |
|---|
| 684 | |
|---|
| 685 | nnic=nni |
|---|
| 686 | ninterfc=ninterf |
|---|
| 687 | |
|---|
| 688 | |
|---|
| 689 | !...second, the "corner-points" |
|---|
| 690 | |
|---|
| 691 | !...determination of the neighboorings, they depends on iperio |
|---|
| 692 | ! boundary condition => local description : ipXX becomes ipXX2... |
|---|
| 693 | |
|---|
| 694 | ibnw2 = ibnw |
|---|
| 695 | ibne2 = ibne |
|---|
| 696 | ibsw2 = ibsw |
|---|
| 697 | ibse2 = ibse |
|---|
| 698 | |
|---|
| 699 | !...iperio boundary condition effect |
|---|
| 700 | |
|---|
| 701 | if(iperio == 1) then |
|---|
| 702 | |
|---|
| 703 | !...general case : Earth == infinite tube |
|---|
| 704 | |
|---|
| 705 | ibnw2 = 1 |
|---|
| 706 | ibne2 = 1 |
|---|
| 707 | ibsw2 = 1 |
|---|
| 708 | ibse2 = 1 |
|---|
| 709 | |
|---|
| 710 | !...real boundary condition |
|---|
| 711 | |
|---|
| 712 | if(ibondj == -1.OR.ibondj == 2) then |
|---|
| 713 | ibsw2 = 0 |
|---|
| 714 | ibse2 = 0 |
|---|
| 715 | endif |
|---|
| 716 | |
|---|
| 717 | if(ibondj == 1.OR.ibondj == 2) then |
|---|
| 718 | ibnw2 = 0 |
|---|
| 719 | ibne2 = 0 |
|---|
| 720 | endif |
|---|
| 721 | |
|---|
| 722 | endif |
|---|
| 723 | |
|---|
| 724 | ! la periodicite : pas de coin si nbondi = 2 |
|---|
| 725 | ! ET nperio != 1 |
|---|
| 726 | |
|---|
| 727 | ! north-west |
|---|
| 728 | |
|---|
| 729 | if(ibnw == 1)then |
|---|
| 730 | ninterfc=ninterfc+1 |
|---|
| 731 | nnic=nnic+1 |
|---|
| 732 | endif |
|---|
| 733 | |
|---|
| 734 | ! north-east |
|---|
| 735 | |
|---|
| 736 | if(ibne == 1)then |
|---|
| 737 | ninterfc=ninterfc+1 |
|---|
| 738 | nnic=nnic+1 |
|---|
| 739 | endif |
|---|
| 740 | |
|---|
| 741 | ! south-west |
|---|
| 742 | |
|---|
| 743 | if(ibsw == 1)then |
|---|
| 744 | ninterfc=ninterfc+1 |
|---|
| 745 | nnic=nnic+1 |
|---|
| 746 | endif |
|---|
| 747 | |
|---|
| 748 | ! south-east |
|---|
| 749 | |
|---|
| 750 | if(ibse == 1)then |
|---|
| 751 | ninterfc=ninterfc+1 |
|---|
| 752 | nnic=nnic+1 |
|---|
| 753 | endif |
|---|
| 754 | |
|---|
| 755 | ! write(0,*)' nbre de voisins =',ninterf |
|---|
| 756 | ! write(0,*)' longueur des interfaces =',nni |
|---|
| 757 | ! write(0,*)' longueur des interfaces =',nnic |
|---|
| 758 | |
|---|
| 759 | return |
|---|
| 760 | end |
|---|
| 761 | !**********************************************************************c |
|---|
| 762 | subroutine feti_subound(ni,nj,ildi,ilei,ildj,ilej, & |
|---|
| 763 | imoi,ibondi,ibondj,iperio, & |
|---|
| 764 | ninterf,ninterfc, & |
|---|
| 765 | iowe,ioea,ioso,iono, & |
|---|
| 766 | ibsw,ibnw,ibse,ibne, & |
|---|
| 767 | ipsw,ipnw,ipse,ipne, & |
|---|
| 768 | nsdvois,nsdvoisc, & |
|---|
| 769 | plistin,nni,listin) |
|---|
| 770 | |
|---|
| 771 | implicit none |
|---|
| 772 | integer ni,nj,ildi,ilei,ildj,ilej |
|---|
| 773 | integer imoi,ibondi,ibondj,iperio |
|---|
| 774 | integer iowe,ioea,ioso,iono |
|---|
| 775 | integer ibsw,ibnw,ibse,ibne |
|---|
| 776 | integer ipsw,ipnw,ipse,ipne |
|---|
| 777 | integer ninterf,ninterfc,nni |
|---|
| 778 | integer nsdvois(ninterf,3),nsdvoisc(ninterfc,3) |
|---|
| 779 | integer plistin(ninterfc+1),listin(nni) |
|---|
| 780 | integer nint,nni0,ii,jj |
|---|
| 781 | ! integer i,j,nint,nni0,ii,jj |
|---|
| 782 | |
|---|
| 783 | external mynode |
|---|
| 784 | integer mynode |
|---|
| 785 | |
|---|
| 786 | ! determination de la position du sous-domaine dans la grille |
|---|
| 787 | ! cela depnd de ibondi et ibondj |
|---|
| 788 | |
|---|
| 789 | ! liste des sous-domaines voisins et des noeuds interface |
|---|
| 790 | |
|---|
| 791 | ! be carefull!!! in the FETI algorithm, area number is considered |
|---|
| 792 | ! instead of process number |
|---|
| 793 | |
|---|
| 794 | ! initialisation |
|---|
| 795 | |
|---|
| 796 | nint=0 |
|---|
| 797 | nni0=0 |
|---|
| 798 | plistin(1)=0 |
|---|
| 799 | |
|---|
| 800 | !...first, the "segment-points" |
|---|
| 801 | |
|---|
| 802 | if((ibondi == 2).AND.(iperio /= 1))then |
|---|
| 803 | |
|---|
| 804 | ! la periodicite : pas d'interface east / west si nbondi = 2 |
|---|
| 805 | ! ET nperio != 1 |
|---|
| 806 | |
|---|
| 807 | elseif(iperio == 1) then |
|---|
| 808 | |
|---|
| 809 | ! west |
|---|
| 810 | |
|---|
| 811 | nint=nint+1 |
|---|
| 812 | nsdvoisc(nint,1)=imoi |
|---|
| 813 | do jj=1,nj+1 |
|---|
| 814 | listin(nni0+jj)=(jj-1)*(ni+1)+1 |
|---|
| 815 | end do |
|---|
| 816 | nni0=nni0+nj+1 |
|---|
| 817 | plistin(nint+1)=nni0 |
|---|
| 818 | nsdvoisc(nint,2)=1 |
|---|
| 819 | nsdvoisc(nint,3)=2 |
|---|
| 820 | |
|---|
| 821 | ! east |
|---|
| 822 | |
|---|
| 823 | nint=nint+1 |
|---|
| 824 | nsdvoisc(nint,1)=imoi |
|---|
| 825 | do jj=1,nj+1 |
|---|
| 826 | listin(nni0+jj)=(jj-1)*(ni+1)+ilei |
|---|
| 827 | end do |
|---|
| 828 | nni0=nni0+nj+1 |
|---|
| 829 | plistin(nint+1)=nni0 |
|---|
| 830 | nsdvoisc(nint,2)=2 |
|---|
| 831 | nsdvoisc(nint,3)=1 |
|---|
| 832 | |
|---|
| 833 | else |
|---|
| 834 | |
|---|
| 835 | ! west |
|---|
| 836 | |
|---|
| 837 | if(ibondi /= -1)then |
|---|
| 838 | nint=nint+1 |
|---|
| 839 | nsdvoisc(nint,1)=(iowe+1) |
|---|
| 840 | do jj=1,nj+1 |
|---|
| 841 | listin(nni0+jj)=(jj-1)*(ni+1)+1 |
|---|
| 842 | end do |
|---|
| 843 | nni0=nni0+nj+1 |
|---|
| 844 | plistin(nint+1)=nni0 |
|---|
| 845 | nsdvoisc(nint,2)=1 |
|---|
| 846 | nsdvoisc(nint,3)=2 |
|---|
| 847 | endif |
|---|
| 848 | |
|---|
| 849 | ! east |
|---|
| 850 | |
|---|
| 851 | if(ibondi /= 1)then |
|---|
| 852 | nint=nint+1 |
|---|
| 853 | nsdvoisc(nint,1)=(ioea+1) |
|---|
| 854 | do jj=1,nj+1 |
|---|
| 855 | listin(nni0+jj)=(jj-1)*(ni+1)+ilei |
|---|
| 856 | end do |
|---|
| 857 | nni0=nni0+nj+1 |
|---|
| 858 | plistin(nint+1)=nni0 |
|---|
| 859 | nsdvoisc(nint,2)=2 |
|---|
| 860 | nsdvoisc(nint,3)=1 |
|---|
| 861 | endif |
|---|
| 862 | |
|---|
| 863 | endif |
|---|
| 864 | |
|---|
| 865 | ! south |
|---|
| 866 | |
|---|
| 867 | if(ibondj /= -1.AND.ibondj /= 2)then |
|---|
| 868 | nint=nint+1 |
|---|
| 869 | nsdvoisc(nint,1)=(ioso+1) |
|---|
| 870 | do ii=1,ni+1 |
|---|
| 871 | listin(nni0+ii)=ii |
|---|
| 872 | end do |
|---|
| 873 | nni0=nni0+ni+1 |
|---|
| 874 | plistin(nint+1)=nni0 |
|---|
| 875 | nsdvoisc(nint,2)=3 |
|---|
| 876 | nsdvoisc(nint,3)=4 |
|---|
| 877 | endif |
|---|
| 878 | |
|---|
| 879 | ! north |
|---|
| 880 | |
|---|
| 881 | if(ibondj /= 1.AND.ibondj /= 2)then |
|---|
| 882 | nint=nint+1 |
|---|
| 883 | nsdvoisc(nint,1)=(iono+1) |
|---|
| 884 | do ii=1,ni+1 |
|---|
| 885 | listin(nni0+ii)=(ilej-1)*(ni+1)+ii |
|---|
| 886 | end do |
|---|
| 887 | nni0=nni0+ni+1 |
|---|
| 888 | plistin(nint+1)=nni0 |
|---|
| 889 | nsdvoisc(nint,2)=4 |
|---|
| 890 | nsdvoisc(nint,3)=3 |
|---|
| 891 | endif |
|---|
| 892 | |
|---|
| 893 | !...second, the "corner-points" |
|---|
| 894 | |
|---|
| 895 | !...determination of the neighboorings, they depends on iperio |
|---|
| 896 | ! boundary condition => local description : inimpp or inimpp2... |
|---|
| 897 | |
|---|
| 898 | ! la periodicite : pas de coin si nbondi = 2 |
|---|
| 899 | ! ET nperio != 1 |
|---|
| 900 | |
|---|
| 901 | !!!!!!!!!verifier la definition des voisins-coin |
|---|
| 902 | |
|---|
| 903 | ! north-west |
|---|
| 904 | |
|---|
| 905 | if(ibnw == 1)then |
|---|
| 906 | nint=nint+1 |
|---|
| 907 | nsdvoisc(nint,1)=(ipnw+1) |
|---|
| 908 | listin(nni0+1)=(ilej-1)*(ni+1)+1 |
|---|
| 909 | nni0=nni0+1 |
|---|
| 910 | plistin(nint+1)=nni0 |
|---|
| 911 | nsdvoisc(nint,2)=5 |
|---|
| 912 | nsdvoisc(nint,3)=8 |
|---|
| 913 | endif |
|---|
| 914 | |
|---|
| 915 | ! north-east |
|---|
| 916 | |
|---|
| 917 | if(ibne == 1)then |
|---|
| 918 | nint=nint+1 |
|---|
| 919 | nsdvoisc(nint,1)=(ipne+1) |
|---|
| 920 | listin(nni0+1)=(ilej-1)*(ni+1)+ilei |
|---|
| 921 | nni0=nni0+1 |
|---|
| 922 | plistin(nint+1)=nni0 |
|---|
| 923 | nsdvoisc(nint,2)=6 |
|---|
| 924 | nsdvoisc(nint,3)=7 |
|---|
| 925 | endif |
|---|
| 926 | |
|---|
| 927 | ! south-west |
|---|
| 928 | |
|---|
| 929 | if(ibsw == 1)then |
|---|
| 930 | nint=nint+1 |
|---|
| 931 | nsdvoisc(nint,1)=(ipsw+1) |
|---|
| 932 | listin(nni0+1)=1 |
|---|
| 933 | nni0=nni0+1 |
|---|
| 934 | plistin(nint+1)=nni0 |
|---|
| 935 | nsdvoisc(nint,2)=7 |
|---|
| 936 | nsdvoisc(nint,3)=6 |
|---|
| 937 | endif |
|---|
| 938 | |
|---|
| 939 | ! south-east |
|---|
| 940 | |
|---|
| 941 | if(ibse == 1)then |
|---|
| 942 | nint=nint+1 |
|---|
| 943 | nsdvoisc(nint,1)=(ipse+1) |
|---|
| 944 | listin(nni0+1)=ilei |
|---|
| 945 | nni0=nni0+1 |
|---|
| 946 | plistin(nint+1)=nni0 |
|---|
| 947 | nsdvoisc(nint,2)=8 |
|---|
| 948 | nsdvoisc(nint,3)=5 |
|---|
| 949 | endif |
|---|
| 950 | |
|---|
| 951 | !...je compte les coins |
|---|
| 952 | |
|---|
| 953 | do ii=1,ninterf |
|---|
| 954 | nsdvois(ii,1) = nsdvoisc(ii,1) |
|---|
| 955 | nsdvois(ii,2) = nsdvoisc(ii,2) |
|---|
| 956 | nsdvois(ii,3) = nsdvoisc(ii,3) |
|---|
| 957 | enddo |
|---|
| 958 | |
|---|
| 959 | |
|---|
| 960 | ! impressions |
|---|
| 961 | |
|---|
| 962 | ! write(*,*)' sous-domaine :',imoi |
|---|
| 963 | ! write(*,*)' nombre de sous-domaines voisins :',ninterfc |
|---|
| 964 | ! do ii=1,ninterfc |
|---|
| 965 | ! write(*,*)' sous-domaine voisin :',nsdvoisc(ii,1) |
|---|
| 966 | ! write(*,*)' nombre de noeuds interface :', & |
|---|
| 967 | ! plistin(ii+1)-plistin(ii) |
|---|
| 968 | ! write(*,*)' noeuds interface :',(listin(jj),jj=plistin(ii)+1, & |
|---|
| 969 | ! plistin(ii+1)) |
|---|
| 970 | ! end do |
|---|
| 971 | |
|---|
| 972 | return |
|---|
| 973 | end |
|---|
| 974 | !**********************************************************************c |
|---|
| 975 | subroutine feti_subdir(ni,nj,noeuds,ndir,mgcnum) |
|---|
| 976 | implicit none |
|---|
| 977 | integer ni,nj,noeuds,ndir |
|---|
| 978 | integer mgcnum(ni+1,nj+1) |
|---|
| 979 | integer i,j |
|---|
| 980 | ! integer i,j,k |
|---|
| 981 | |
|---|
| 982 | ! determination de la position du sous-domaine dans la grille |
|---|
| 983 | ! narea = (j-1)*iglo + i , avec 1<=i<=iglo et 1<=j<=jglo |
|---|
| 984 | |
|---|
| 985 | |
|---|
| 986 | |
|---|
| 987 | ! 1. NUMBER THE GRID-POINTS USING BMASK |
|---|
| 988 | ! ------------------------------------- |
|---|
| 989 | |
|---|
| 990 | |
|---|
| 991 | ndir=0 |
|---|
| 992 | do j=1,nj+1 |
|---|
| 993 | do i=1,ni+1 |
|---|
| 994 | ndir=ndir+1-mgcnum(i,j) |
|---|
| 995 | ! do k=1,noeuds |
|---|
| 996 | ! ndir=ndir+1-mgcnum(k,1) |
|---|
| 997 | enddo |
|---|
| 998 | enddo |
|---|
| 999 | |
|---|
| 1000 | return |
|---|
| 1001 | end |
|---|
| 1002 | !**********************************************************************c |
|---|
| 1003 | subroutine feti_listdir(ni,nj,logdir,ndir,lisdir) |
|---|
| 1004 | implicit none |
|---|
| 1005 | integer ni,nj,ndir |
|---|
| 1006 | integer logdir(ni,nj),lisdir(ndir) |
|---|
| 1007 | integer i0,ji,jj |
|---|
| 1008 | |
|---|
| 1009 | ! creation de la liste des degres de liberte bloques |
|---|
| 1010 | i0=0 |
|---|
| 1011 | do ji=1,ni |
|---|
| 1012 | do jj=1,nj |
|---|
| 1013 | if(logdir(ji,jj) == 0) then |
|---|
| 1014 | i0=i0+1 |
|---|
| 1015 | lisdir(i0)=ji+(jj-1)*ni |
|---|
| 1016 | endif |
|---|
| 1017 | end do |
|---|
| 1018 | end do |
|---|
| 1019 | if(i0 /= ndir) then |
|---|
| 1020 | ! write(*,*)' nombre de ddl bloques/prevus :',i0,ndir |
|---|
| 1021 | ! write(*,*)'liste des ddl Dirichlet :',(lisdir(ji),ji=1,ndir) |
|---|
| 1022 | stop |
|---|
| 1023 | endif |
|---|
| 1024 | |
|---|
| 1025 | return |
|---|
| 1026 | end |
|---|
| 1027 | !*********************************************************************** |
|---|
| 1028 | subroutine feti_blodir(n,x,ndlblo,list) |
|---|
| 1029 | implicit none |
|---|
| 1030 | integer n,ndlblo |
|---|
| 1031 | integer list(ndlblo) |
|---|
| 1032 | REAL(kind=8) x(n) |
|---|
| 1033 | integer i |
|---|
| 1034 | |
|---|
| 1035 | ! remise a zero des ddl bloques |
|---|
| 1036 | do i=1,ndlblo |
|---|
| 1037 | x(list(i))=0.e0 |
|---|
| 1038 | end do |
|---|
| 1039 | |
|---|
| 1040 | return |
|---|
| 1041 | end |
|---|
| 1042 | !*********************************************************************** |
|---|
| 1043 | subroutine feti_numblo(ndlblo,lisblo) |
|---|
| 1044 | implicit none |
|---|
| 1045 | external mynode |
|---|
| 1046 | !! integer mynode,indlblog,iibidon |
|---|
| 1047 | integer mynode |
|---|
| 1048 | integer ndlblo |
|---|
| 1049 | integer lisblo(ndlblo) |
|---|
| 1050 | !! integer n |
|---|
| 1051 | |
|---|
| 1052 | ! indlblog=-ndlblo |
|---|
| 1053 | ! call mpp_min(indlblog,1,iibidon) |
|---|
| 1054 | ! indlblog=-indlblog |
|---|
| 1055 | ! if(mynode() == 0)THEN |
|---|
| 1056 | ! write(0,*)' nombre de degres de liberte flottants :',ndlblo |
|---|
| 1057 | ! write(0,*)' liste :',(lisblo(n),n=1,ndlblo) |
|---|
| 1058 | ! endif |
|---|
| 1059 | |
|---|
| 1060 | return |
|---|
| 1061 | end |
|---|
| 1062 | !*********************************************************************** |
|---|
| 1063 | subroutine feti_blomat(ni,nj,a,ndlblo,lisblo) |
|---|
| 1064 | implicit none |
|---|
| 1065 | integer ni,nj |
|---|
| 1066 | REAL(kind=8) a(ni,nj,5) |
|---|
| 1067 | integer ndlblo |
|---|
| 1068 | integer lisblo(ndlblo) |
|---|
| 1069 | !! integer i,j,k,l,n |
|---|
| 1070 | integer i,j,k,n |
|---|
| 1071 | |
|---|
| 1072 | do n=1,ndlblo |
|---|
| 1073 | ! degre de liberte bloque : lisblo(n) = (j-1)*ni + i |
|---|
| 1074 | i=mod(lisblo(n)-1,ni)+1 |
|---|
| 1075 | j=((lisblo(n)-1)/ni)+1 |
|---|
| 1076 | ! annulation des coefficients sur la ligne |
|---|
| 1077 | do k=1,5 |
|---|
| 1078 | a(i,j,k)=0.e0 |
|---|
| 1079 | end do |
|---|
| 1080 | a(i,j,3)=1.e0 |
|---|
| 1081 | ! annulation des coefficients dans les colonnes correspondantes |
|---|
| 1082 | if(i > 1) then |
|---|
| 1083 | a(i-1,j,4)=0.e0 |
|---|
| 1084 | endif |
|---|
| 1085 | if(i < ni) then |
|---|
| 1086 | a(i+1,j,2)=0.e0 |
|---|
| 1087 | endif |
|---|
| 1088 | if(j > 1) then |
|---|
| 1089 | a(i,j-1,5)=0.e0 |
|---|
| 1090 | endif |
|---|
| 1091 | if(j < nj) then |
|---|
| 1092 | a(i,j+1,1)=0.e0 |
|---|
| 1093 | endif |
|---|
| 1094 | end do |
|---|
| 1095 | |
|---|
| 1096 | return |
|---|
| 1097 | end |
|---|
| 1098 | !*********************************************************************** |
|---|
| 1099 | subroutine feti_blomat1(ni,nj,a,ndlblo,lisblo,nsp) |
|---|
| 1100 | implicit none |
|---|
| 1101 | integer ni,nj,ndlblo |
|---|
| 1102 | REAL(kind=8) a(ni,nj,5),nsp(ni,nj,ndlblo) |
|---|
| 1103 | integer lisblo(ndlblo) |
|---|
| 1104 | !! integer i,j,k,l,n |
|---|
| 1105 | integer i,j,n |
|---|
| 1106 | |
|---|
| 1107 | do n=1,ndlblo |
|---|
| 1108 | ! degre de liberte bloque : lisblo(n) = (j-1)*ni + i |
|---|
| 1109 | i=mod(lisblo(n)-1,ni)+1 |
|---|
| 1110 | j=((lisblo(n)-1)/ni)+1 |
|---|
| 1111 | ! annulation des coefficients dans les colonnes correspondantes |
|---|
| 1112 | if(i > 1) then |
|---|
| 1113 | nsp(i-1,j,n)=-a(i-1,j,4) |
|---|
| 1114 | endif |
|---|
| 1115 | if(i < ni) then |
|---|
| 1116 | nsp(i+1,j,n)=-a(i+1,j,2) |
|---|
| 1117 | endif |
|---|
| 1118 | if(j > 1) then |
|---|
| 1119 | nsp(i,j-1,n)=-a(i,j-1,5) |
|---|
| 1120 | endif |
|---|
| 1121 | if(j < nj) then |
|---|
| 1122 | nsp(i,j+1,n)=-a(i,j+1,1) |
|---|
| 1123 | endif |
|---|
| 1124 | end do |
|---|
| 1125 | |
|---|
| 1126 | return |
|---|
| 1127 | end |
|---|
| 1128 | !*********************************************************************** |
|---|
| 1129 | subroutine feti_nullsp(noeuds,ni,nj,lpblo,blo,a,ndlblo,lisblo,nsp,z) |
|---|
| 1130 | ! calcul du noyau de la matrice |
|---|
| 1131 | implicit none |
|---|
| 1132 | integer noeuds,ni,nj,lpblo,ndlblo |
|---|
| 1133 | REAL(kind=8) a(ni,nj,5) |
|---|
| 1134 | integer lisblo(ndlblo) |
|---|
| 1135 | REAL(kind=8) blo(lpblo),nsp(noeuds,ndlblo),z(noeuds) |
|---|
| 1136 | external sdot |
|---|
| 1137 | REAL(kind=8) sdot,res |
|---|
| 1138 | integer j,i |
|---|
| 1139 | |
|---|
| 1140 | ! calcul de [Aii]-1 * Aib |
|---|
| 1141 | do j=1,ndlblo |
|---|
| 1142 | call feti_resloc(noeuds,ni,nj,a,lpblo,blo,nsp(1,j),nsp(1,j),z) |
|---|
| 1143 | end do |
|---|
| 1144 | ! remise a identite du bloc diagonal correspondant aux modes bloques |
|---|
| 1145 | do i=1,ndlblo |
|---|
| 1146 | do j=1,ndlblo |
|---|
| 1147 | nsp(lisblo(i),j)=0.e0 |
|---|
| 1148 | end do |
|---|
| 1149 | nsp(lisblo(i),i)=1.e0 |
|---|
| 1150 | end do |
|---|
| 1151 | ! verifications |
|---|
| 1152 | do j=1,ndlblo |
|---|
| 1153 | call feti_proax(noeuds,ni,nj,a,nsp(1,j),z) |
|---|
| 1154 | res=sqrt(sdot(noeuds,z,1,z,1)/ & |
|---|
| 1155 | sdot(noeuds,nsp(1,j),1,nsp(1,j),1)) |
|---|
| 1156 | ! write(0,*)' residu de la colonne ',j,' du noyau :',res |
|---|
| 1157 | ! write(0,*)' vecteur colonne :' |
|---|
| 1158 | ! call prvec(noeuds,nsp(1,j)) |
|---|
| 1159 | end do |
|---|
| 1160 | |
|---|
| 1161 | return |
|---|
| 1162 | end |
|---|
| 1163 | !**********************************************************************c |
|---|
| 1164 | subroutine feti_project(gint,pgint,nspdim,x,b,nmspdim,numit0 & |
|---|
| 1165 | ,nitmax,gvec,agvec,d,ad,add,gamm,numnes,listnes,plistin,numins & |
|---|
| 1166 | ,listin,narea,numnos,nsp,v,w,bufin,bufout,work) |
|---|
| 1167 | |
|---|
| 1168 | implicit none |
|---|
| 1169 | |
|---|
| 1170 | integer nitmax, nspdim |
|---|
| 1171 | REAL(kind=8) x(nspdim), b(nspdim) |
|---|
| 1172 | |
|---|
| 1173 | !...the Krylov optimisation used in PCG associated to the Coarse Solver |
|---|
| 1174 | ! involve to keep di & adi vectors in etesolve procedure |
|---|
| 1175 | ! the nmspdim parameter is introduced to avoid message "out of bound" |
|---|
| 1176 | ! arrising qhen the memory is checked! |
|---|
| 1177 | |
|---|
| 1178 | ! nmspdim = Max (nspdim(Ep)) <= memory management (f77 context) |
|---|
| 1179 | ! p=1,Np |
|---|
| 1180 | |
|---|
| 1181 | ! REAL(kind=8) gvec(nspdim), agvec(nspdim), |
|---|
| 1182 | ! & d(nspdim,0:nitmax-1), ad(nspdim,0:nitmax-1), |
|---|
| 1183 | ! & add(0:nitmax-1), gamm(0:nitmax-1) |
|---|
| 1184 | |
|---|
| 1185 | integer nmspdim |
|---|
| 1186 | REAL(kind=8) gvec(nspdim), agvec(nspdim), & |
|---|
| 1187 | d(nmspdim,0:nitmax-1), ad(nmspdim,0:nitmax-1), & |
|---|
| 1188 | add(0:nitmax-1), gamm(0:nitmax-1) |
|---|
| 1189 | |
|---|
| 1190 | integer numnes,numins,narea, numnos, numit0 |
|---|
| 1191 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
|---|
| 1192 | REAL(kind=8) nsp(numnos,nspdim), v(numnos), & |
|---|
| 1193 | w(numins), gint(numins), pgint(numins) |
|---|
| 1194 | REAL(kind=8) bufin(numins), bufout(numins) |
|---|
| 1195 | REAL(kind=8) work(0:nitmax-1) |
|---|
| 1196 | |
|---|
| 1197 | |
|---|
| 1198 | call feti_proet(numnes,listnes,plistin,numins,listin,numnos, & |
|---|
| 1199 | gint,nspdim,nsp,b,v) |
|---|
| 1200 | call feti_etesolv(nspdim,x,b,nmspdim,numit0,nitmax,gvec,agvec,d,ad & |
|---|
| 1201 | ,add,gamm,numnes,listnes,plistin,numins,listin,narea,numnos & |
|---|
| 1202 | ,nsp,v,w,bufin,bufout,work) |
|---|
| 1203 | call feti_proe(numnes,listnes,plistin,numins,listin,narea,numnos, & |
|---|
| 1204 | nspdim,nsp,x,v,w,bufin,bufout) |
|---|
| 1205 | call feti_vsub(numins,gint,w,pgint) |
|---|
| 1206 | |
|---|
| 1207 | return |
|---|
| 1208 | end |
|---|
| 1209 | !**********************************************************************c |
|---|
| 1210 | subroutine feti_etesolv(nspdim,x,b,nmspdim,numit0,nitmax,gvec & |
|---|
| 1211 | ,agvec,d,ad,add,gamm,numnes,listnes,plistin,numins,listin & |
|---|
| 1212 | ,narea,numnos,nsp,v,w,bufin,bufout,work) |
|---|
| 1213 | |
|---|
| 1214 | ! INPUTS : nspdim = dimension of null space : LOCAL |
|---|
| 1215 | ! x = initial solution |
|---|
| 1216 | ! b = right hand side |
|---|
| 1217 | ! nmspdim = Max (nspdim(Ep)) <= memory management |
|---|
| 1218 | ! p=1,Np |
|---|
| 1219 | ! numit0 = number of previous direction vectors, at most |
|---|
| 1220 | ! nitmax |
|---|
| 1221 | ! nitmax = number of maximum direction vectors for |
|---|
| 1222 | ! reconjugation |
|---|
| 1223 | ! gvec = gradient vector |
|---|
| 1224 | ! agvec = A * g |
|---|
| 1225 | ! d = direction vector |
|---|
| 1226 | ! ad = A * d |
|---|
| 1227 | ! add = dot products (Ad,d) |
|---|
| 1228 | ! gamm = GAMMA coefficients |
|---|
| 1229 | ! numnes = number of neighbouring subdomains |
|---|
| 1230 | ! listnes = list of neighbouring subdomains |
|---|
| 1231 | ! plistin = pointer of sublists of interface nodes |
|---|
| 1232 | ! numins = number of interface nodes |
|---|
| 1233 | ! listin = list of interface nodes |
|---|
| 1234 | ! narea = subdomain number |
|---|
| 1235 | ! numnos = number of nodes in the subdomain |
|---|
| 1236 | |
|---|
| 1237 | ! WORKSPACE : bufin = contributions of local fields on interface |
|---|
| 1238 | ! bufout = contributions of outer fields on interface |
|---|
| 1239 | ! work = workspace for mpp_sum calls |
|---|
| 1240 | |
|---|
| 1241 | implicit none |
|---|
| 1242 | |
|---|
| 1243 | integer nitmax, nspdim |
|---|
| 1244 | REAL(kind=8) x(nspdim), b(nspdim) |
|---|
| 1245 | |
|---|
| 1246 | !...the Krylov optimisation involve to keep di & adi vectors |
|---|
| 1247 | ! the nmspdim parameter is introduce to avoid message "out of bound" |
|---|
| 1248 | ! arrising qhen the memory is checked! |
|---|
| 1249 | |
|---|
| 1250 | ! REAL(kind=8) gvec(nspdim), agvec(nspdim), |
|---|
| 1251 | ! & d(nspdim,0:nitmax-1), ad(nspdim,0:nitmax-1), |
|---|
| 1252 | ! & rho, temp1(2), temp2(2), add(0:nitmax-1), |
|---|
| 1253 | ! & gamm(0:nitmax-1), facg0, facgn, facst, eps |
|---|
| 1254 | |
|---|
| 1255 | integer nmspdim |
|---|
| 1256 | REAL(kind=8) gvec(nmspdim), agvec(nmspdim), & |
|---|
| 1257 | d(nspdim,0:nitmax-1), ad(nspdim,0:nitmax-1), & |
|---|
| 1258 | rho, temp1(2), temp2(2), add(0:nitmax-1), & |
|---|
| 1259 | gamm(0:nitmax-1), facg0, facgn, facst, eps |
|---|
| 1260 | |
|---|
| 1261 | integer numnes,numins,narea, numnos |
|---|
| 1262 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
|---|
| 1263 | REAL(kind=8) nsp(numnos,nspdim), v(numnos), w(numins) |
|---|
| 1264 | REAL(kind=8) bufin(numins), bufout(numins) |
|---|
| 1265 | REAL(kind=8) work(0:nitmax-1) |
|---|
| 1266 | |
|---|
| 1267 | integer i, j, n, numit0, nn, n1, numit1 |
|---|
| 1268 | |
|---|
| 1269 | external sdot |
|---|
| 1270 | REAL(kind=8) sdot |
|---|
| 1271 | |
|---|
| 1272 | ! initialisation |
|---|
| 1273 | |
|---|
| 1274 | do 1 i=1,nspdim |
|---|
| 1275 | x(i) = 0.e0 |
|---|
| 1276 | gvec(i) = -b(i) |
|---|
| 1277 | 1 continue |
|---|
| 1278 | facg0 = sdot( nspdim, gvec, 1, gvec , 1) |
|---|
| 1279 | call mpp_sum(facg0,1,work) |
|---|
| 1280 | |
|---|
| 1281 | if( facg0 == 0.e0 ) return |
|---|
| 1282 | |
|---|
| 1283 | eps=1.e-24 |
|---|
| 1284 | facst=facg0*eps |
|---|
| 1285 | |
|---|
| 1286 | ! initial projection |
|---|
| 1287 | |
|---|
| 1288 | if(numit0 > 0) then |
|---|
| 1289 | do 91 j = 0 , numit0 |
|---|
| 1290 | gamm(j) = - sdot(nspdim,gvec,1,d(1,j),1) / add(j) |
|---|
| 1291 | 91 continue |
|---|
| 1292 | call mpp_sum(gamm,numit0+1,work) |
|---|
| 1293 | call feti_mxvadd( nspdim, numit0+1, d, gamm, x ) |
|---|
| 1294 | call feti_mxvadd( nspdim, numit0+1, ad, gamm, gvec ) |
|---|
| 1295 | |
|---|
| 1296 | ! test residual after initial projection |
|---|
| 1297 | |
|---|
| 1298 | facgn = sdot( nspdim, gvec, 1, gvec, 1 ) |
|---|
| 1299 | call mpp_sum(facgn,1,work) |
|---|
| 1300 | if( facgn <= facst ) then |
|---|
| 1301 | ! write(0,*) 'residual after initial projection for feti_etesolv=' & |
|---|
| 1302 | ! ,facgn/facg0 |
|---|
| 1303 | return |
|---|
| 1304 | endif |
|---|
| 1305 | |
|---|
| 1306 | endif |
|---|
| 1307 | |
|---|
| 1308 | ! compute (Et E) * gvec |
|---|
| 1309 | |
|---|
| 1310 | call feti_proe(numnes,listnes,plistin,numins,listin,narea,numnos, & |
|---|
| 1311 | nspdim,nsp,gvec,v,w,bufin,bufout) |
|---|
| 1312 | call feti_proet(numnes,listnes,plistin,numins,listin,numnos,w, & |
|---|
| 1313 | nspdim,nsp,agvec,v) |
|---|
| 1314 | |
|---|
| 1315 | ! conjugate d . |
|---|
| 1316 | |
|---|
| 1317 | if(numit0 > 0) then |
|---|
| 1318 | numit1=min0(numit0+1,nitmax-1) |
|---|
| 1319 | do 94 i=0,numit0 |
|---|
| 1320 | gamm(i) = -sdot(nspdim,gvec,1,ad(1,i),1)/ add(i) |
|---|
| 1321 | 94 continue |
|---|
| 1322 | call mpp_sum(gamm,numit0+1,work) |
|---|
| 1323 | |
|---|
| 1324 | call feti_osaxpy( nspdim,gamm(numit0),d(1,numit0), & |
|---|
| 1325 | gvec,d(1,numit1)) |
|---|
| 1326 | call feti_osaxpy( nspdim,gamm(numit0),ad(1,numit0), & |
|---|
| 1327 | agvec,ad(1,numit1)) |
|---|
| 1328 | |
|---|
| 1329 | call feti_mxvadd( nspdim, numit1-1, d, gamm, d(1,numit1) ) |
|---|
| 1330 | call feti_mxvadd( nspdim, numit1-1, ad, gamm, ad(1,numit1) ) |
|---|
| 1331 | else |
|---|
| 1332 | numit1=0 |
|---|
| 1333 | |
|---|
| 1334 | do 20 i = 1, nspdim |
|---|
| 1335 | d(i,numit1) = gvec(i) |
|---|
| 1336 | 20 continue |
|---|
| 1337 | |
|---|
| 1338 | do 30 i = 1, nspdim |
|---|
| 1339 | ad(i,numit1) = agvec(i) |
|---|
| 1340 | 30 continue |
|---|
| 1341 | endif |
|---|
| 1342 | |
|---|
| 1343 | ! computing rho |
|---|
| 1344 | |
|---|
| 1345 | do 50 nn = numit1, nitmax |
|---|
| 1346 | n=min0(nn,nitmax-1) |
|---|
| 1347 | temp1(1) = sdot( nspdim, gvec, 1, d(1,n), 1 ) |
|---|
| 1348 | temp1(2) = sdot( nspdim, ad(1,n), 1, d(1,n), 1 ) |
|---|
| 1349 | call mpp_sum(temp1,2,temp2) |
|---|
| 1350 | add(n) = temp1(2) |
|---|
| 1351 | rho = - temp1(1) / add(n) |
|---|
| 1352 | |
|---|
| 1353 | call feti_osaxpy( nspdim, rho, d(1,n), x, x ) |
|---|
| 1354 | call feti_osaxpy( nspdim, rho, ad(1,n), gvec, gvec ) |
|---|
| 1355 | |
|---|
| 1356 | ! test residual . |
|---|
| 1357 | |
|---|
| 1358 | facgn = sdot( nspdim, gvec, 1, gvec, 1 ) |
|---|
| 1359 | call mpp_sum(facgn,1,work) |
|---|
| 1360 | ! write(0,*) 'iteration =', nn+1, 'residual = ', facgn/facg0 |
|---|
| 1361 | if( facgn <= facst ) then |
|---|
| 1362 | goto 999 |
|---|
| 1363 | endif |
|---|
| 1364 | |
|---|
| 1365 | ! reconjugation of gvec |
|---|
| 1366 | |
|---|
| 1367 | do 60 i=0,n |
|---|
| 1368 | gamm(i) = -sdot(nspdim,gvec,1,ad(1,i),1)/ add(i) |
|---|
| 1369 | 60 continue |
|---|
| 1370 | call mpp_sum(gamm,n+1,work) |
|---|
| 1371 | n1=min0(nn+1,nitmax-1) |
|---|
| 1372 | |
|---|
| 1373 | call feti_osaxpy( nspdim,gamm(n),d(1,n),gvec,d(1,n1)) |
|---|
| 1374 | |
|---|
| 1375 | call feti_mxvadd( nspdim, n1-1, d, gamm, d(1,n1) ) |
|---|
| 1376 | |
|---|
| 1377 | ! compute (Et E) * d |
|---|
| 1378 | |
|---|
| 1379 | call feti_proe(numnes,listnes,plistin,numins,listin,narea, & |
|---|
| 1380 | numnos,nspdim,nsp,d(1,n1),v,w,bufin,bufout) |
|---|
| 1381 | call feti_proet(numnes,listnes,plistin,numins,listin,numnos,w, & |
|---|
| 1382 | nspdim,nsp,ad(1,n1),v) |
|---|
| 1383 | |
|---|
| 1384 | 50 continue |
|---|
| 1385 | |
|---|
| 1386 | if(narea == 1) then |
|---|
| 1387 | write(0,*) 'No convergence for ete in ',nitmax,' iterations' |
|---|
| 1388 | stop |
|---|
| 1389 | endif |
|---|
| 1390 | |
|---|
| 1391 | |
|---|
| 1392 | 999 continue |
|---|
| 1393 | numit0=min0(n,nitmax-1) |
|---|
| 1394 | ! write(0,*) 'number of iterations for ete :', nn+1, ' , residual =', facgn |
|---|
| 1395 | |
|---|
| 1396 | return |
|---|
| 1397 | end |
|---|
| 1398 | !**********************************************************************c |
|---|
| 1399 | subroutine feti_osaxpy( n, a, x, y, z ) |
|---|
| 1400 | |
|---|
| 1401 | implicit none |
|---|
| 1402 | |
|---|
| 1403 | integer n |
|---|
| 1404 | REAL(kind=8) a, x(n), y(n), z(n) |
|---|
| 1405 | |
|---|
| 1406 | integer i |
|---|
| 1407 | |
|---|
| 1408 | do 10 i = 1, n |
|---|
| 1409 | z(i) = y(i) + a * x(i) |
|---|
| 1410 | 10 continue |
|---|
| 1411 | |
|---|
| 1412 | return |
|---|
| 1413 | end |
|---|
| 1414 | !**********************************************************************c |
|---|
| 1415 | subroutine feti_proe(numnes,listnes,plistin,numins,listin,narea, & |
|---|
| 1416 | numnos,nspdim,nsp,alpha,v,w,bufin, & |
|---|
| 1417 | bufout) |
|---|
| 1418 | |
|---|
| 1419 | ! jump of a velocity field on the interfaces, in the case where |
|---|
| 1420 | ! subdomain number i is allocated to processor number i-1 . |
|---|
| 1421 | ! the velocity field is Nsp * alpha, where Nsp is the nullspace . |
|---|
| 1422 | |
|---|
| 1423 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 1424 | ! listnes = list of neighbouring subdomains |
|---|
| 1425 | ! plistin = pointer of sublists of interface nodes |
|---|
| 1426 | ! numins = number of interface nodes |
|---|
| 1427 | ! listin = list of interface nodes |
|---|
| 1428 | ! narea = subdomain number |
|---|
| 1429 | ! numnos = number of nodes in the subdomain |
|---|
| 1430 | ! nspdim = dimension of the null space |
|---|
| 1431 | ! nsp = null space |
|---|
| 1432 | ! alpha = components of the velocity field in the null |
|---|
| 1433 | ! space |
|---|
| 1434 | ! v = corresponding velocity field |
|---|
| 1435 | |
|---|
| 1436 | ! OUTPUTS : w = jump on the interface |
|---|
| 1437 | |
|---|
| 1438 | ! WORKSPACE : bufin = contributions of local field on interface |
|---|
| 1439 | ! bufout = contributions of outer fields on interface |
|---|
| 1440 | ! work |
|---|
| 1441 | implicit none |
|---|
| 1442 | integer numnes,numins,numnos,narea,nspdim |
|---|
| 1443 | integer listnes(numnes,3), plistin(numnes+1), listin(numins) |
|---|
| 1444 | REAL(kind=8) v(numnos),w(numins) |
|---|
| 1445 | REAL(kind=8) bufin(numins),bufout(numins) |
|---|
| 1446 | REAL(kind=8) alpha(nspdim), nsp(numnos,nspdim) |
|---|
| 1447 | integer i |
|---|
| 1448 | |
|---|
| 1449 | ! computing the values of the local velocity field |
|---|
| 1450 | do i=1,numnos |
|---|
| 1451 | v(i)=0.e0 |
|---|
| 1452 | end do |
|---|
| 1453 | call feti_mxvadd( numnos, nspdim, nsp, alpha, v ) |
|---|
| 1454 | ! computing the jump on the interface |
|---|
| 1455 | call feti_saut(numnes,listnes,plistin,numins,listin, & |
|---|
| 1456 | numnos,v,w,bufin,bufout) |
|---|
| 1457 | !! narea,numnos,v,w,bufin,bufout) |
|---|
| 1458 | |
|---|
| 1459 | return |
|---|
| 1460 | end |
|---|
| 1461 | !**********************************************************************c |
|---|
| 1462 | subroutine feti_proet(numnes,listnes,plistin,numins,listin, & |
|---|
| 1463 | numnos,w,nspdim,nsp,alpha,v) |
|---|
| 1464 | |
|---|
| 1465 | ! projection in the null space of the right-hand-side associated with |
|---|
| 1466 | ! a Lagrange multiplier w . |
|---|
| 1467 | |
|---|
| 1468 | ! INPUTS : numins = number of interface nodes |
|---|
| 1469 | ! listin = list of interface nodes |
|---|
| 1470 | ! numnos = number of nodes in the subdomain |
|---|
| 1471 | ! w = Lagrange multiplier |
|---|
| 1472 | ! nspdim = dimension of the null space |
|---|
| 1473 | ! nsp = null space |
|---|
| 1474 | |
|---|
| 1475 | ! OUTPUTS : v = local right-hand-side |
|---|
| 1476 | ! alpha = projection of v in the null space |
|---|
| 1477 | |
|---|
| 1478 | implicit none |
|---|
| 1479 | external sdot |
|---|
| 1480 | REAL(kind=8) sdot |
|---|
| 1481 | integer numins,numnos,nspdim,numnes |
|---|
| 1482 | integer listnes(numnes,3),plistin(numnes+1),listin(numins) |
|---|
| 1483 | REAL(kind=8) v(numnos),w(numins) |
|---|
| 1484 | REAL(kind=8) alpha(nspdim), nsp(numnos,nspdim) |
|---|
| 1485 | integer i |
|---|
| 1486 | |
|---|
| 1487 | ! assembling the values of the Lagrange multiplier on the interface |
|---|
| 1488 | call feti_probit(numnes,listnes,plistin,numins,listin,numnos,w,v) |
|---|
| 1489 | ! computing the projection of v in the null space . |
|---|
| 1490 | do 1 i=1,nspdim |
|---|
| 1491 | alpha(i)=sdot(numnos,v,1,nsp(1,i),1) |
|---|
| 1492 | 1 continue |
|---|
| 1493 | |
|---|
| 1494 | return |
|---|
| 1495 | end |
|---|
| 1496 | !**********************************************************************c |
|---|
| 1497 | subroutine feti_consrhs( vdim,nspdim,rhs,nsp,cb ) |
|---|
| 1498 | |
|---|
| 1499 | |
|---|
| 1500 | implicit none |
|---|
| 1501 | |
|---|
| 1502 | external sdot |
|---|
| 1503 | REAL(kind=8) sdot |
|---|
| 1504 | integer vdim, nspdim |
|---|
| 1505 | |
|---|
| 1506 | REAL(kind=8) rhs(vdim), nsp(vdim,nspdim), cb(nspdim) |
|---|
| 1507 | |
|---|
| 1508 | |
|---|
| 1509 | integer i |
|---|
| 1510 | |
|---|
| 1511 | ! compute the right hand side for constraint |
|---|
| 1512 | |
|---|
| 1513 | do i=1,nspdim |
|---|
| 1514 | cb(i)=-sdot(vdim,rhs,1,nsp(1,i),1) |
|---|
| 1515 | end do |
|---|
| 1516 | |
|---|
| 1517 | return |
|---|
| 1518 | end |
|---|
| 1519 | !**********************************************************************c |
|---|
| 1520 | subroutine feti_dualschur(noeuds,ni,nj,a,lpblo,blo, & |
|---|
| 1521 | ninterf,ninterfc,nni,nnic, & |
|---|
| 1522 | ndvois,ndvoisc,plistin,listin, & |
|---|
| 1523 | poids,u,v,f,bitw,utilu, & |
|---|
| 1524 | lambda,g,pg,mg,nitmax,nmaxd,j0,wj,dwj,dwwj, & |
|---|
| 1525 | gamm,work,bufin,bufout,narea,epsilo,ndlblo, & |
|---|
| 1526 | lisblo,ndkerep, & |
|---|
| 1527 | xnul,ynul,numit0ete,nitmaxete,eteg, & |
|---|
| 1528 | eteag,eted,etead,eteadd,etegamm,nsp,etev, & |
|---|
| 1529 | etew,nnih,plistih,gh,w,dw, & |
|---|
| 1530 | residu,indic,jn) |
|---|
| 1531 | implicit none |
|---|
| 1532 | ! nombre de ddl par noeuds, nombre de noeuds interne et interface |
|---|
| 1533 | integer noeuds,ni,nj,nni,nnic |
|---|
| 1534 | ! integer jpj,jpi |
|---|
| 1535 | ! numero du sous-domaine = numero de processeur + 1 |
|---|
| 1536 | integer narea |
|---|
| 1537 | ! tableaux descripteurs de la matrice locale |
|---|
| 1538 | REAL(kind=8) a(ni,nj,5) |
|---|
| 1539 | ! tableaux descripteurs de l'inverse de la matrice du probleme local |
|---|
| 1540 | integer lpblo |
|---|
| 1541 | REAL(kind=8) blo(lpblo) |
|---|
| 1542 | ! tableaux descripteurs de l'interface |
|---|
| 1543 | integer ninterf,ninterfc |
|---|
| 1544 | integer ndvois(ninterf,3),ndvoisc(ninterfc,3) |
|---|
| 1545 | integer plistin(ninterfc+1),listin(nnic) |
|---|
| 1546 | ! tableaux descripteurs de l'interface ajoutes pour nperio == 1 |
|---|
| 1547 | REAL(kind=8) poids(noeuds) |
|---|
| 1548 | ! utilitaires pour les assemblages aux interfaces |
|---|
| 1549 | REAL(kind=8) bufin(nnic),bufout(nnic) |
|---|
| 1550 | ! vecteurs locaux |
|---|
| 1551 | REAL(kind=8) u(noeuds),v(noeuds),f(noeuds) |
|---|
| 1552 | REAL(kind=8) bitw(noeuds),utilu(noeuds) |
|---|
| 1553 | ! vecteurs inconnues aux interfaces |
|---|
| 1554 | ! mg est le gradient preconditionne : M = sum(Bi Ai Bit) |
|---|
| 1555 | REAL(kind=8) lambda(nni),g(nni),pg(nni),mg(nni) |
|---|
| 1556 | ! tableaux servant a gerer le stockage de la moitie des coefficients |
|---|
| 1557 | ! des tableaux des directions de descente sur chaque interface |
|---|
| 1558 | integer nnih |
|---|
| 1559 | integer plistih(ninterf+1) |
|---|
| 1560 | REAL(kind=8) gh(nnih) |
|---|
| 1561 | ! tableaux des directions de descente |
|---|
| 1562 | ! on appelle D la matrice condensee a l'interface : sum(Bi [Ai]-1 Bit) |
|---|
| 1563 | ! j0 est le nombre de vecteurs D orthogonaux deja stockes |
|---|
| 1564 | ! j0 est egal au plus a nmaxd-1 |
|---|
| 1565 | ! lorsque le nomtre total d'iterations atteint nmaxd, seule la derniere |
|---|
| 1566 | ! direction calculee est stockee dans la colonne numero nmaxd |
|---|
| 1567 | integer nitmax,nmaxd,j0 |
|---|
| 1568 | REAL(kind=8) wj(nnih,nmaxd),dwj(nnih,nmaxd),dwwj(nmaxd) |
|---|
| 1569 | REAL(kind=8) w(nni),dw(nni) |
|---|
| 1570 | ! utilitaires pour les calculs de produits scalaires globaux |
|---|
| 1571 | REAL(kind=8) work(nmaxd),gamm(nmaxd) |
|---|
| 1572 | ! tableaux descripteurs du noyau de la matrice locale et tableaux |
|---|
| 1573 | ! servant a la projection sur le noyau |
|---|
| 1574 | |
|---|
| 1575 | !...ndlblo is the dimension of the local nullspace .=<. the size of the |
|---|
| 1576 | ! memory of the superstructure associated to the nullspace : ndkerep |
|---|
| 1577 | ! indeed ndkerep = Max ndlblo = Max dim(Ker(Ep)) |
|---|
| 1578 | ! p=1,Np |
|---|
| 1579 | ! ndkerep is introduced to avoid messages "out of bounds" when memory |
|---|
| 1580 | ! is checked |
|---|
| 1581 | |
|---|
| 1582 | integer ndkerep |
|---|
| 1583 | integer ndlblo,numit0ete,nitmaxete |
|---|
| 1584 | integer lisblo(ndlblo) |
|---|
| 1585 | REAL(kind=8) xnul(ndlblo),ynul(ndlblo),eteg(ndlblo),eteag(ndlblo) |
|---|
| 1586 | |
|---|
| 1587 | !...the Krylov optimisation used in PCG associated to the Coarse Solver |
|---|
| 1588 | ! involve to keep di & adi vectors in etesolve procedure |
|---|
| 1589 | ! the ndkerep parameter is introduced to avoid message "out of bound" |
|---|
| 1590 | ! arrising when the memory is checked! |
|---|
| 1591 | |
|---|
| 1592 | ! ndkerep = Max (ndlblo(Ep)) <= memory management (f77 context) |
|---|
| 1593 | ! p=1,Np |
|---|
| 1594 | |
|---|
| 1595 | ! REAL(kind=8) eted(ndlblo,nitmaxete),etead(ndlblo,nitmaxete) |
|---|
| 1596 | |
|---|
| 1597 | REAL(kind=8) eted(ndkerep,nitmaxete),etead(ndkerep,nitmaxete) |
|---|
| 1598 | REAL(kind=8) eteadd(nitmaxete),etegamm(nitmaxete) |
|---|
| 1599 | REAL(kind=8) etev(noeuds),etew(nni),nsp(noeuds,ndlblo) |
|---|
| 1600 | ! indicateur de convergence |
|---|
| 1601 | |
|---|
| 1602 | integer indic |
|---|
| 1603 | REAL(kind=8) residu |
|---|
| 1604 | integer jn |
|---|
| 1605 | ! utilitaires |
|---|
| 1606 | !! integer j,k,j1,ji,jj,jk |
|---|
| 1607 | integer j,k,j1 |
|---|
| 1608 | REAL(kind=8) scal(2),ff,roj,epsilo,epsilo2 |
|---|
| 1609 | ! fonctions externes |
|---|
| 1610 | external sdot |
|---|
| 1611 | REAL(kind=8) sdot |
|---|
| 1612 | ! booleen pour caracterisation |
|---|
| 1613 | ! numerique si llconv=1 |
|---|
| 1614 | integer llconv |
|---|
| 1615 | |
|---|
| 1616 | llconv=0 |
|---|
| 1617 | |
|---|
| 1618 | !...critere d'arret epsilo2 = epsilo **2 => evite sqrt |
|---|
| 1619 | |
|---|
| 1620 | epsilo2 = epsilo * epsilo |
|---|
| 1621 | |
|---|
| 1622 | ! calcul du carre scalaire du second membre global |
|---|
| 1623 | |
|---|
| 1624 | call feti_assemb(ninterfc,ndvoisc,plistin,nnic,listin,narea,noeuds & |
|---|
| 1625 | ,f,utilu,bufin,bufout) |
|---|
| 1626 | ff=sdot(noeuds,utilu,1,utilu,1) |
|---|
| 1627 | call mpp_sum(ff,1,work) |
|---|
| 1628 | ! write(90,*)'valeur du carre du second membre ds le Schur Dual :',ff |
|---|
| 1629 | |
|---|
| 1630 | ! calcul du second membre contraint |
|---|
| 1631 | |
|---|
| 1632 | call feti_consrhs(noeuds,ndlblo,f,nsp,ynul) |
|---|
| 1633 | |
|---|
| 1634 | ! calcul de lambda0 satisfaisant la contrainte |
|---|
| 1635 | |
|---|
| 1636 | ! call feti_vclr(nni,lambda) |
|---|
| 1637 | call feti_etesolv(ndlblo,xnul,ynul,ndkerep,numit0ete,nitmaxete & |
|---|
| 1638 | ,eteg,eteag,eted,etead,eteadd,etegamm,ninterf,ndvois,plistin & |
|---|
| 1639 | ,nni,listin,narea,noeuds,nsp,etev,etew,bufin,bufout,work) |
|---|
| 1640 | |
|---|
| 1641 | call feti_proe(ninterf,ndvois,plistin,nni,listin,narea,noeuds, & |
|---|
| 1642 | ndlblo,nsp,xnul,etev,lambda,bufin,bufout) |
|---|
| 1643 | |
|---|
| 1644 | ! calcul du nouveau second membre |
|---|
| 1645 | |
|---|
| 1646 | call feti_probit(ninterf,ndvois,plistin,nni,listin,noeuds,lambda,bitw) |
|---|
| 1647 | |
|---|
| 1648 | call feti_vadd(noeuds,bitw,f,bitw) |
|---|
| 1649 | |
|---|
| 1650 | |
|---|
| 1651 | ! calcul du champ local initial u0 |
|---|
| 1652 | ! call feti_blodir(noeuds,bitw,ndlblo,lisblo) |
|---|
| 1653 | call feti_resloc(noeuds,ni,nj,a,lpblo,blo,bitw,u,utilu) |
|---|
| 1654 | |
|---|
| 1655 | ! calcul du gradient initial g0 = feti_saut(u0) |
|---|
| 1656 | !! call feti_saut(ninterf,ndvois,plistin,nni,listin,narea,noeuds,u,g & |
|---|
| 1657 | call feti_saut(ninterf,ndvois,plistin,nni,listin, noeuds,u,g & |
|---|
| 1658 | ,bufin,bufout) |
|---|
| 1659 | |
|---|
| 1660 | ! reinitialisation de lambdaj0 par reconjugaison |
|---|
| 1661 | |
|---|
| 1662 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea,g, gh) |
|---|
| 1663 | do k=1,j0 |
|---|
| 1664 | gamm(k)=sdot(nnih,gh,1,wj(1,k),1) |
|---|
| 1665 | end do |
|---|
| 1666 | if(j0 >= 1) call mpp_sum(gamm,j0,work) |
|---|
| 1667 | do k=1,j0 |
|---|
| 1668 | gamm(k)=-gamm(k)/dwwj(k) |
|---|
| 1669 | end do |
|---|
| 1670 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, lambda,gh) |
|---|
| 1671 | call feti_mxvadd(nnih,j0,wj,gamm,gh) |
|---|
| 1672 | call feti_extend(ninterf,ndvois,plistin,nni,plistih,nnih,narea,gh, lambda) |
|---|
| 1673 | ! calcul du second membre associe a lambdaj0 |
|---|
| 1674 | if(j0 > 0) then |
|---|
| 1675 | call feti_probit(ninterf,ndvois,plistin,nni,listin,noeuds, lambda,bitw) |
|---|
| 1676 | call feti_vadd(noeuds,bitw,f,bitw) |
|---|
| 1677 | ! calcul du champ local associe uj0 |
|---|
| 1678 | ! call feti_blodir(noeuds,bitw,ndlblo,lisblo) |
|---|
| 1679 | call feti_resloc(noeuds,ni,nj,a,lpblo,blo,bitw,u,utilu) |
|---|
| 1680 | ! calcul du gradient initial gj0= feti_saut(uj0) |
|---|
| 1681 | !! call feti_saut(ninterf,ndvois,plistin,nni,listin,narea,noeuds & |
|---|
| 1682 | call feti_saut(ninterf,ndvois,plistin,nni,listin, noeuds & |
|---|
| 1683 | ,u,g,bufin,bufout) |
|---|
| 1684 | endif |
|---|
| 1685 | ! calcul du gradient projete |
|---|
| 1686 | ! call feti_vmov(nni,g,pg) |
|---|
| 1687 | call feti_project(g,pg,ndlblo,xnul,ynul,ndkerep,numit0ete & |
|---|
| 1688 | ,nitmaxete,eteg,eteag,eted,etead,eteadd,etegamm,ninterf,ndvois & |
|---|
| 1689 | ,plistin,nni,listin,narea,noeuds,nsp,etev,etew,bufin,bufout,work) |
|---|
| 1690 | ! calcul du gradient preconditionne |
|---|
| 1691 | ! call feti_vmov(nni,pg,mg) |
|---|
| 1692 | |
|---|
| 1693 | call feti_probit(ninterf,ndvois,plistin,nni,listin,noeuds, pg,bitw) |
|---|
| 1694 | |
|---|
| 1695 | call feti_proax(noeuds,ni,nj,a,bitw,v) |
|---|
| 1696 | !! call feti_saut(ninterf,ndvois,plistin,nni,listin,narea,noeuds,v, mg,bufin,bufout) |
|---|
| 1697 | call feti_saut(ninterf,ndvois,plistin,nni,listin, noeuds,v, mg,bufin,bufout) |
|---|
| 1698 | ! verification du residu initial |
|---|
| 1699 | residu=sdot(nni,mg,1,mg,1) |
|---|
| 1700 | call mpp_sum(residu,1,work) |
|---|
| 1701 | residu = (4. * residu) / ff |
|---|
| 1702 | if(residu <= epsilo2)then |
|---|
| 1703 | ! residu=10.*sqrt(residu/ff) |
|---|
| 1704 | ! if(residu < epsilo)then |
|---|
| 1705 | if(llconv == 1)then |
|---|
| 1706 | if(narea == 1)then |
|---|
| 1707 | write(0,*)' residu carre approche initial :',residu |
|---|
| 1708 | endif |
|---|
| 1709 | endif |
|---|
| 1710 | ! calcul du champ global moyenne aux interfaces et du residu global |
|---|
| 1711 | call feti_vsub(noeuds,u,etev,utilu) |
|---|
| 1712 | call feti_moyen(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1713 | noeuds,poids,utilu,utilu,bufin,bufout) |
|---|
| 1714 | call feti_vmov(noeuds,utilu,u) |
|---|
| 1715 | call feti_proax(noeuds,ni,nj,a,utilu,v) |
|---|
| 1716 | call feti_vsub(noeuds,v,f,v) |
|---|
| 1717 | call feti_assemb(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1718 | noeuds,v,utilu,bufin,bufout) |
|---|
| 1719 | residu=sdot(noeuds,utilu,1,utilu,1) |
|---|
| 1720 | call mpp_sum(residu,1,work) |
|---|
| 1721 | residu=sqrt(residu/ff) |
|---|
| 1722 | ! residu=residu/ff |
|---|
| 1723 | if(llconv == 1)then |
|---|
| 1724 | if(narea == 1)then |
|---|
| 1725 | write(0,*)' residu exact initial :',residu |
|---|
| 1726 | endif |
|---|
| 1727 | endif |
|---|
| 1728 | |
|---|
| 1729 | 101 format(10d9.2) |
|---|
| 1730 | |
|---|
| 1731 | return |
|---|
| 1732 | |
|---|
| 1733 | endif |
|---|
| 1734 | |
|---|
| 1735 | |
|---|
| 1736 | ! calcul de la premiere direction de descente |
|---|
| 1737 | ! calcul du gradient preconditionne projete |
|---|
| 1738 | call feti_project(mg,mg,ndlblo,xnul,ynul,ndkerep,numit0ete & |
|---|
| 1739 | ,nitmaxete,eteg,eteag,eted,etead,eteadd,etegamm,ninterf,ndvois & |
|---|
| 1740 | ,plistin,nni,listin,narea,noeuds,nsp,etev,etew,bufin,bufout ,work) |
|---|
| 1741 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, & |
|---|
| 1742 | mg,wj(1,j0+1)) |
|---|
| 1743 | do k=1,j0 |
|---|
| 1744 | gamm(k)=sdot(nnih,wj(1,j0+1),1,dwj(1,k),1) |
|---|
| 1745 | end do |
|---|
| 1746 | if(j0 >= 1) call mpp_sum(gamm,j0,work) |
|---|
| 1747 | do k=1,j0 |
|---|
| 1748 | gamm(k)=-gamm(k)/dwwj(k) |
|---|
| 1749 | end do |
|---|
| 1750 | call feti_mxvadd(nnih,j0,wj,gamm,wj(1,j0+1)) |
|---|
| 1751 | |
|---|
| 1752 | ! iterations de gradient conjugue a l'interface |
|---|
| 1753 | |
|---|
| 1754 | |
|---|
| 1755 | !debug |
|---|
| 1756 | do j=j0+1,j0+nitmax |
|---|
| 1757 | |
|---|
| 1758 | if(llconv == 1.and.narea == 1) write(0,*)'etape numero',j-j0 |
|---|
| 1759 | ! j1 est le numero de colonne de la derniere direction de descente |
|---|
| 1760 | ! j1 = j, numero d'iteration total, tant que j < nmaxd |
|---|
| 1761 | ! au-dela, j1 = nmaxd |
|---|
| 1762 | j1=min0(j,nmaxd) |
|---|
| 1763 | ! calcul de Dwi , D = sum ( Bi [Ai]-1 tBi ) |
|---|
| 1764 | call feti_extend(ninterf,ndvois,plistin,nni,plistih,nnih,narea, wj(1,j1),w) |
|---|
| 1765 | call feti_probit(ninterf,ndvois,plistin,nni,listin,noeuds, w,bitw) |
|---|
| 1766 | ! call feti_blodir(noeuds,bitw,ndlblo,lisblo) |
|---|
| 1767 | call feti_resloc(noeuds,ni,nj,a,lpblo,blo,bitw,v,utilu) |
|---|
| 1768 | !! call feti_saut(ninterf,ndvois,plistin,nni,listin,narea,noeuds,v & |
|---|
| 1769 | call feti_saut(ninterf,ndvois,plistin,nni,listin, noeuds,v & |
|---|
| 1770 | ,dw,bufin,bufout) |
|---|
| 1771 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, dw,dwj(1,j1)) |
|---|
| 1772 | ! calcul du coefficient de descente |
|---|
| 1773 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, g,gh) |
|---|
| 1774 | scal(1)=sdot(nnih,gh,1,wj(1,j1),1) |
|---|
| 1775 | scal(2)=sdot(nnih,dwj(1,j1),1,wj(1,j1),1) |
|---|
| 1776 | call mpp_sum(scal,2,work) |
|---|
| 1777 | roj=-scal(1)/scal(2) |
|---|
| 1778 | dwwj(j1)=scal(2) |
|---|
| 1779 | ! remise a jour de lambda, g et u |
|---|
| 1780 | call saxpy(nni,roj,w,1,lambda,1) |
|---|
| 1781 | call saxpy(nni,roj,dw,1,g,1) |
|---|
| 1782 | call saxpy(noeuds,roj,v,1,u,1) |
|---|
| 1783 | ! calcul du gradient projete |
|---|
| 1784 | ! call feti_vmov(nni,g,pg) |
|---|
| 1785 | call feti_project(g,pg,ndlblo,xnul,ynul,ndkerep,numit0ete & |
|---|
| 1786 | ,nitmaxete,eteg,eteag,eted,etead,eteadd,etegamm,ninterf & |
|---|
| 1787 | ,ndvois,plistin,nni,listin,narea,noeuds,nsp,etev,etew,bufin & |
|---|
| 1788 | ,bufout,work) |
|---|
| 1789 | ! calcul du gradient preconditionne Mg , M = sum ( Bi Ai tBi ) |
|---|
| 1790 | ! call feti_vmov(nni,pg,mg) |
|---|
| 1791 | call feti_probit(ninterf,ndvois,plistin,nni,listin,noeuds, pg,bitw) |
|---|
| 1792 | call feti_proax(noeuds,ni,nj,a,bitw,v) |
|---|
| 1793 | !! call feti_saut(ninterf,ndvois,plistin,nni,listin,narea,noeuds,v & |
|---|
| 1794 | call feti_saut(ninterf,ndvois,plistin,nni,listin, noeuds,v & |
|---|
| 1795 | ,mg,bufin,bufout) |
|---|
| 1796 | ! verification du residu global approche |
|---|
| 1797 | residu=sdot(nni,mg,1,mg,1) |
|---|
| 1798 | call mpp_sum(residu,1,work) |
|---|
| 1799 | ! residu=10.*sqrt(residu/ff) |
|---|
| 1800 | residu = (4. * residu) / ff |
|---|
| 1801 | if(llconv == 1.and.narea == 1)then |
|---|
| 1802 | write(0,*)' residu carre global approche apres ', & |
|---|
| 1803 | j-j0,' iterations :',residu |
|---|
| 1804 | endif |
|---|
| 1805 | |
|---|
| 1806 | ! if(residu < epsilo) then |
|---|
| 1807 | if(residu <= epsilo2)then |
|---|
| 1808 | if(llconv == 1.and.narea == 1)then |
|---|
| 1809 | write(0,*)'residu carre global approche apres ', & |
|---|
| 1810 | j-j0,' iterations :',residu |
|---|
| 1811 | endif |
|---|
| 1812 | ! calcul du champ global moyenne aux interfaces et du residu global |
|---|
| 1813 | call feti_vsub(noeuds,u,etev,utilu) |
|---|
| 1814 | call feti_moyen(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1815 | noeuds,poids,utilu,utilu,bufin,bufout) |
|---|
| 1816 | call feti_vmov(noeuds,utilu,u) |
|---|
| 1817 | call feti_proax(noeuds,ni,nj,a,utilu,v) |
|---|
| 1818 | call feti_vsub(noeuds,v,f,v) |
|---|
| 1819 | call feti_assemb(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1820 | noeuds,v,utilu,bufin,bufout) |
|---|
| 1821 | residu=sdot(noeuds,utilu,1,utilu,1) |
|---|
| 1822 | call mpp_sum(residu,1,work) |
|---|
| 1823 | ! residu=residu/ff |
|---|
| 1824 | residu=sqrt(residu/ff) |
|---|
| 1825 | if(llconv == 1.and.narea == 1)then |
|---|
| 1826 | write(0,*)' residu global exact apres ', & |
|---|
| 1827 | j-j0,' iterations :',residu |
|---|
| 1828 | endif |
|---|
| 1829 | |
|---|
| 1830 | jn = j - j0 |
|---|
| 1831 | j0=min0(j,nmaxd-1) |
|---|
| 1832 | if(llconv == 1.and.narea == 1)then |
|---|
| 1833 | write(0,*)' nombre de directions orthogonales conservees :',j0 |
|---|
| 1834 | endif |
|---|
| 1835 | |
|---|
| 1836 | |
|---|
| 1837 | return |
|---|
| 1838 | endif |
|---|
| 1839 | !################################################################## |
|---|
| 1840 | ! calcul du champ global moyenne aux interfaces et du residu global |
|---|
| 1841 | call feti_vsub(noeuds,u,etev,utilu) |
|---|
| 1842 | call feti_moyen(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1843 | noeuds,poids,utilu,utilu,bufin,bufout) |
|---|
| 1844 | call feti_proax(noeuds,ni,nj,a,utilu,v) |
|---|
| 1845 | call feti_vsub(noeuds,v,f,v) |
|---|
| 1846 | call feti_assemb(ninterfc,ndvoisc,plistin,nnic,listin,narea, & |
|---|
| 1847 | noeuds,v,utilu,bufin,bufout) |
|---|
| 1848 | residu=sdot(noeuds,utilu,1,utilu,1) |
|---|
| 1849 | call mpp_sum(residu,1,work) |
|---|
| 1850 | ! residu=sqrt(residu/ff) |
|---|
| 1851 | residu=residu/ff |
|---|
| 1852 | if(llconv == 1.and.narea == 1)then |
|---|
| 1853 | write(0,*)' residu carre global exact apres ', & |
|---|
| 1854 | j-j0,' iterations :',residu |
|---|
| 1855 | endif |
|---|
| 1856 | |
|---|
| 1857 | !##################################################################### |
|---|
| 1858 | ! calcul de la nouvelle direction de descente par reconjugaison |
|---|
| 1859 | ! calcul du gradient preconditionne projete |
|---|
| 1860 | call feti_project(mg,mg,ndlblo,xnul,ynul,ndkerep,numit0ete & |
|---|
| 1861 | ,nitmaxete,eteg,eteag,eted,etead,eteadd,etegamm,ninterf & |
|---|
| 1862 | ,ndvois,plistin,nni,listin,narea,noeuds,nsp,etev,etew,bufin & |
|---|
| 1863 | ,bufout,work) |
|---|
| 1864 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, mg,gh) |
|---|
| 1865 | do k=1,j1 |
|---|
| 1866 | gamm(k)=sdot(nnih,gh,1,dwj(1,k),1) |
|---|
| 1867 | end do |
|---|
| 1868 | call mpp_sum(gamm,j1,work) |
|---|
| 1869 | do k=1,j1 |
|---|
| 1870 | gamm(k)=-gamm(k)/dwwj(k) |
|---|
| 1871 | end do |
|---|
| 1872 | call feti_mxvadd(nnih,j1,wj,gamm,gh) |
|---|
| 1873 | j1=min0(j1+1,nmaxd) |
|---|
| 1874 | |
|---|
| 1875 | !%%%%%%%%%%stabilisation numerique %%%%%%%%%%%%%%%%%%%%%%%%% |
|---|
| 1876 | call feti_extend(ninterf,ndvois,plistin,nni,plistih,nnih,narea, gh,w) |
|---|
| 1877 | call feti_project(w,w,ndlblo,xnul,ynul,ndkerep,numit0ete & |
|---|
| 1878 | ,nitmaxete,eteg,eteag,eted,etead,eteadd,etegamm,ninterf & |
|---|
| 1879 | ,ndvois,plistin,nni,listin,narea,noeuds,nsp,etev,etew,bufin & |
|---|
| 1880 | ,bufout,work) |
|---|
| 1881 | call feti_restri(ninterf,ndvois,plistin,nni,plistih,nnih,narea, w,gh) |
|---|
| 1882 | !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
|---|
| 1883 | |
|---|
| 1884 | call feti_vmov(nnih,gh,wj(1,j1)) |
|---|
| 1885 | |
|---|
| 1886 | end do |
|---|
| 1887 | |
|---|
| 1888 | residu = sqrt(residu) |
|---|
| 1889 | if(narea == 1) then |
|---|
| 1890 | write(0,*)' residu global approche apres ',nitmax, & |
|---|
| 1891 | ' iterations :',residu |
|---|
| 1892 | endif |
|---|
| 1893 | indic=-2 |
|---|
| 1894 | |
|---|
| 1895 | return |
|---|
| 1896 | end |
|---|
| 1897 | !**********************************************************************c |
|---|
| 1898 | subroutine feti_extend(numnes,listnes, & |
|---|
| 1899 | plistin,numins,plistih, & |
|---|
| 1900 | numinh,narea,wh,w) |
|---|
| 1901 | |
|---|
| 1902 | ! reassembling an half interface field |
|---|
| 1903 | |
|---|
| 1904 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 1905 | ! listnes = list of neighbouring subdomains |
|---|
| 1906 | ! lint = list of inner interfaces |
|---|
| 1907 | ! lext = list of extern ibnterfaces |
|---|
| 1908 | ! plistin = pointer of sublists of interface nodes |
|---|
| 1909 | ! plistih = pointer of half-sublists of interface nodes |
|---|
| 1910 | ! numins = number of interface nodes |
|---|
| 1911 | ! numinh = half number of interface nodes |
|---|
| 1912 | ! narea = subdomain number |
|---|
| 1913 | ! wh = half interface vector |
|---|
| 1914 | |
|---|
| 1915 | ! OUTPUTS : w = complete interface vector |
|---|
| 1916 | |
|---|
| 1917 | ! WORKSPACE : work |
|---|
| 1918 | implicit none |
|---|
| 1919 | ! external irecv |
|---|
| 1920 | !! integer irecv, work(100) |
|---|
| 1921 | integer numnes,numins,numinh,narea |
|---|
| 1922 | integer listnes(numnes,3), plistin(numnes+1), plistih(numnes+1) |
|---|
| 1923 | REAL(kind=8) wh(numinh),w(numins) |
|---|
| 1924 | integer i,l,lin,lout |
|---|
| 1925 | integer mesg |
|---|
| 1926 | |
|---|
| 1927 | mesg=128*10 |
|---|
| 1928 | ! if subdomains i < j are neighbours, subdomain i manage the first |
|---|
| 1929 | ! half of the interface, and subdomain j the remaining part |
|---|
| 1930 | |
|---|
| 1931 | ! receiving the values of the outer fields on the interface |
|---|
| 1932 | ! sending the values of the inner field on the interface |
|---|
| 1933 | |
|---|
| 1934 | do i=1,numnes |
|---|
| 1935 | l=(plistin(i+1)-plistin(i)) |
|---|
| 1936 | ! if(narea < listnes(i)) then |
|---|
| 1937 | if(listnes(i,3) < listnes(i,2))then |
|---|
| 1938 | lout=(l-(l/2)) |
|---|
| 1939 | lin=(l/2) |
|---|
| 1940 | ! work(i)=irecv(mesg+listnes(i)-1,w(plistin(i)+(l/2)+1), lout*8) |
|---|
| 1941 | ! call mppsend(mesg+narea-1,wh(plistih(i)+1),lin*8,listnes(i) -1,0) |
|---|
| 1942 | call mppsend(mesg+listnes(i,3)-1,wh(plistih(i)+1),lin*8, listnes(i,1)-1,0) |
|---|
| 1943 | call feti_vmov(lin,wh(plistih(i)+1),w(plistin(i)+1)) |
|---|
| 1944 | else |
|---|
| 1945 | lout=(l/2) |
|---|
| 1946 | lin=(l-(l/2)) |
|---|
| 1947 | ! work(i)=irecv(mesg+listnes(i)-1,w(plistin(i)+1),lout*8) |
|---|
| 1948 | ! call mppsend(mesg+narea-1,wh(plistih(i)+1),lin*8,listnes(i)-1,0) |
|---|
| 1949 | call mppsend(mesg+listnes(i,3)-1,wh(plistih(i)+1),lin*8, listnes(i,1)-1,0) |
|---|
| 1950 | call feti_vmov(lin,wh(plistih(i)+1),w(plistin(i)+(l/2)+1)) |
|---|
| 1951 | endif |
|---|
| 1952 | enddo |
|---|
| 1953 | ! waiting for the completion on each interface |
|---|
| 1954 | do i=1,numnes |
|---|
| 1955 | l=(plistin(i+1)-plistin(i)) |
|---|
| 1956 | ! if(narea < listnes(i)) then |
|---|
| 1957 | if(listnes(i,3) < listnes(i,2))then |
|---|
| 1958 | lout=(l-(l/2)) |
|---|
| 1959 | ! call mpprecv(mesg+listnes(i)-1,w(plistin(i)+(l/2)+1), lout*8) |
|---|
| 1960 | call mpprecv(mesg+listnes(i,2)-1,w(plistin(i)+(l/2)+1), lout*8) |
|---|
| 1961 | call feti_vneg(lout,w(plistin(i)+(l/2)+1), & |
|---|
| 1962 | w(plistin(i)+(l/2)+1)) |
|---|
| 1963 | else |
|---|
| 1964 | lout=(l/2) |
|---|
| 1965 | ! call mpprecv(mesg+listnes(i)-1,w(plistin(i)+1),lout*8) |
|---|
| 1966 | call mpprecv(mesg+listnes(i,2)-1,w(plistin(i)+1),lout*8) |
|---|
| 1967 | call feti_vneg(lout,w(plistin(i)+1),w(plistin(i)+1)) |
|---|
| 1968 | endif |
|---|
| 1969 | end do |
|---|
| 1970 | |
|---|
| 1971 | return |
|---|
| 1972 | end |
|---|
| 1973 | !**********************************************************************c |
|---|
| 1974 | subroutine feti_restri(numnes,listnes,plistin,numins,plistih, & |
|---|
| 1975 | numinh,narea,w,wh) |
|---|
| 1976 | |
|---|
| 1977 | ! restriction of an interface field to one half on each interface |
|---|
| 1978 | |
|---|
| 1979 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 1980 | ! listnes = list of neighbouring subdomains |
|---|
| 1981 | ! plistin = pointer of sublists of interface nodes |
|---|
| 1982 | ! plistih = pointer of half-sublists of interface nodes |
|---|
| 1983 | ! numins = number of interface nodes |
|---|
| 1984 | ! numinh = half number of interface nodes |
|---|
| 1985 | ! narea = subdomain number |
|---|
| 1986 | ! w = complete interface vector |
|---|
| 1987 | |
|---|
| 1988 | ! OUTPUTS : wh = half interface vector |
|---|
| 1989 | |
|---|
| 1990 | ! WORKSPACE : work |
|---|
| 1991 | implicit none |
|---|
| 1992 | integer numnes,numins,numinh,narea |
|---|
| 1993 | integer listnes(numnes,3), plistin(numnes+1), plistih(numnes+1) |
|---|
| 1994 | REAL(kind=8) wh(numinh),w(numins) |
|---|
| 1995 | integer i,l,lin |
|---|
| 1996 | |
|---|
| 1997 | ! if subdomains i < j are neighbours, subdomain i manage the first |
|---|
| 1998 | ! half of the interface, and subdomain j the remaining part |
|---|
| 1999 | |
|---|
| 2000 | do i=1,numnes |
|---|
| 2001 | l=(plistin(i+1)-plistin(i)) |
|---|
| 2002 | ! if(narea < listnes(i)) then |
|---|
| 2003 | if(listnes(i,3) < listnes(i,2))then |
|---|
| 2004 | lin=(l/2) |
|---|
| 2005 | call feti_vmov(lin,w(plistin(i)+1),wh(plistih(i)+1)) |
|---|
| 2006 | else |
|---|
| 2007 | lin=(l-(l/2)) |
|---|
| 2008 | call feti_vmov(lin,w(plistin(i)+(l/2)+1),wh(plistih(i)+1)) |
|---|
| 2009 | endif |
|---|
| 2010 | end do |
|---|
| 2011 | |
|---|
| 2012 | return |
|---|
| 2013 | end |
|---|
| 2014 | !**********************************************************************c |
|---|
| 2015 | !! subroutine feti_halfint(numnes,listnes,plistin,numins,plistih & |
|---|
| 2016 | !! ,numinh,narea) |
|---|
| 2017 | subroutine feti_halfint(numnes,listnes,plistin, plistih & |
|---|
| 2018 | ,numinh ) |
|---|
| 2019 | |
|---|
| 2020 | ! construction of the pointer of the restriction of an interface |
|---|
| 2021 | ! field to one half on each interface |
|---|
| 2022 | |
|---|
| 2023 | ! INPUTS : numnes = number of neighbouring subdomains |
|---|
| 2024 | ! listnes = list of neighbouring subdomains |
|---|
| 2025 | ! plistin = pointer of sublists of interface nodes |
|---|
| 2026 | ! numins = number of interface nodes |
|---|
| 2027 | ! narea = subdomain number |
|---|
| 2028 | |
|---|
| 2029 | ! OUTPUTS : numinh = half number of interface nodes |
|---|
| 2030 | ! plistih = pointer of half-sublists of interface nodes |
|---|
| 2031 | |
|---|
| 2032 | ! WORKSPACE : work |
|---|
| 2033 | implicit none |
|---|
| 2034 | !! integer numnes,numins,numinh,narea |
|---|
| 2035 | integer numnes, numinh |
|---|
| 2036 | integer listnes(numnes,3), plistin(numnes+1), plistih(numnes+1) |
|---|
| 2037 | integer i,l |
|---|
| 2038 | |
|---|
| 2039 | ! if subdomains i < j are neighbours, subdomain i manage the first |
|---|
| 2040 | ! half of the interface, and subdomain j the remaining part |
|---|
| 2041 | |
|---|
| 2042 | plistih(1)=0 |
|---|
| 2043 | numinh=0 |
|---|
| 2044 | do i=1,numnes |
|---|
| 2045 | l=(plistin(i+1)-plistin(i)) |
|---|
| 2046 | ! if(narea < listnes(i,1)) then |
|---|
| 2047 | if(listnes(i,3) < listnes(i,2)) then |
|---|
| 2048 | ! write(*,*)'je gere interface avec : ',listnes(i,1) |
|---|
| 2049 | plistih(i+1)=plistih(i)+(l/2) |
|---|
| 2050 | else |
|---|
| 2051 | ! write(*,*)'il gere interface avec : ',listnes(i,1) |
|---|
| 2052 | plistih(i+1)=plistih(i)+(l-(l/2)) |
|---|
| 2053 | endif |
|---|
| 2054 | end do |
|---|
| 2055 | numinh=plistih(numnes+1) |
|---|
| 2056 | |
|---|
| 2057 | return |
|---|
| 2058 | end |
|---|
| 2059 | !*********************************************************************** |
|---|
| 2060 | subroutine feti_front(n,ni,nj,a,lcmat,cmat,d,v,w,ndlblo,lisblo & |
|---|
| 2061 | ,nmdlblo) |
|---|
| 2062 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2063 | dimension a(n,5) |
|---|
| 2064 | ! routine de calcul de la decomposition frontale par blocs de |
|---|
| 2065 | ! la matrice pentadiagonale a . |
|---|
| 2066 | ! cmat contient les termes des blocs diagonaux factorises . |
|---|
| 2067 | dimension cmat(lcmat),d(n) |
|---|
| 2068 | |
|---|
| 2069 | !...ndlblo nombre de liberte bloques = nombre de pivots nuls = dim(Ker(Ep)) |
|---|
| 2070 | |
|---|
| 2071 | !...nmdlblo = Max (ndlblo(Ep)) <= superstructure management in f77 context |
|---|
| 2072 | ! p=1,Np |
|---|
| 2073 | |
|---|
| 2074 | integer ndlblo,nmdlblo |
|---|
| 2075 | integer lisblo(nmdlblo) |
|---|
| 2076 | |
|---|
| 2077 | ! d ne contient pas, en sortie, l'inverse de la diagonale de Crout . |
|---|
| 2078 | ! v est un tableau servant a stocker la partie triangulaire inferieure |
|---|
| 2079 | ! stricte d'un bloc diagonal , et w un tableau servant a stocker un |
|---|
| 2080 | ! bloc sur-diagonal plein . |
|---|
| 2081 | ! de dimension egale a la largeur maximale d'un front . |
|---|
| 2082 | dimension v(ni,ni),w(ni) |
|---|
| 2083 | !!! |
|---|
| 2084 | ndimd=ni |
|---|
| 2085 | lbd=ndimd*ndimd |
|---|
| 2086 | |
|---|
| 2087 | ! lecture du tout premier bloc diagonal |
|---|
| 2088 | |
|---|
| 2089 | nb=1 |
|---|
| 2090 | ! adresse du bloc diagonal courant |
|---|
| 2091 | iac=1 |
|---|
| 2092 | call feti_liblod(n,ni,a,ndimd,nb,cmat(iac)) |
|---|
| 2093 | ! inversion du premier bloc diagonal . |
|---|
| 2094 | ! write(*,*)' inversion du premier bloc diagonal ' |
|---|
| 2095 | j0=0 |
|---|
| 2096 | call feti_ldlt(ndimd,cmat(iac),d(1),w,ndlblo,lisblo,nmdlblo,j0) |
|---|
| 2097 | call feti_calinv(ndimd,cmat(iac),v) |
|---|
| 2098 | |
|---|
| 2099 | ! contraction puis inversion des blocs diagonaux de la la matrice |
|---|
| 2100 | ! front par front . |
|---|
| 2101 | |
|---|
| 2102 | do 2 nb=2,nj |
|---|
| 2103 | ! write(*,*)' front numero ',nb |
|---|
| 2104 | ! adresse du bloc diagonal precedent |
|---|
| 2105 | iap=iac |
|---|
| 2106 | iac=(nb-1)*lbd+1 |
|---|
| 2107 | |
|---|
| 2108 | ! lecture du bloc sur-diagonal precedent: passage bande-vecteur |
|---|
| 2109 | |
|---|
| 2110 | call feti_liblos(n,a,ndimd,nb-1,w) |
|---|
| 2111 | |
|---|
| 2112 | ! elimination du bloc extra-diagonal . |
|---|
| 2113 | |
|---|
| 2114 | ! lecture du bloc diagonal courant: passage bande-plein |
|---|
| 2115 | |
|---|
| 2116 | call feti_liblod(n,ni,a,ndimd,nb,cmat(iac)) |
|---|
| 2117 | |
|---|
| 2118 | ! calcul du nouveau bloc diagonal courant . |
|---|
| 2119 | |
|---|
| 2120 | ! write(*,*)' calcul du nouveau bloc diagonal courant ' |
|---|
| 2121 | call feti_nbdia(ndimd,w,cmat(iap),cmat(iac)) |
|---|
| 2122 | |
|---|
| 2123 | ! inversion du nouveau bloc diagonal courant . |
|---|
| 2124 | |
|---|
| 2125 | ! write(*,*)' factorisation du nouveau bloc diagonal courant ' |
|---|
| 2126 | j0=(nb-1)*ndimd |
|---|
| 2127 | call feti_ldlt(ndimd,cmat(iac),d((nb-1)*ndimd+1),w,ndlblo, & |
|---|
| 2128 | lisblo,nmdlblo,j0) |
|---|
| 2129 | call feti_calinv(ndimd,cmat(iac),v) |
|---|
| 2130 | |
|---|
| 2131 | 2 continue |
|---|
| 2132 | |
|---|
| 2133 | return |
|---|
| 2134 | end |
|---|
| 2135 | !**********************************************************************c |
|---|
| 2136 | subroutine feti_calinv(dim,a,b) |
|---|
| 2137 | ! calcul de la partie triangulaire inferieure du bloc : |
|---|
| 2138 | ! b = [a]-1 puis recopie dans a complet . |
|---|
| 2139 | implicit none |
|---|
| 2140 | integer dim |
|---|
| 2141 | REAL(kind=8) a(dim,dim),b(dim,dim) |
|---|
| 2142 | integer i,j |
|---|
| 2143 | |
|---|
| 2144 | call feti_vclr(dim*dim,b) |
|---|
| 2145 | do j=1,dim |
|---|
| 2146 | b(j,j)=1.e0 |
|---|
| 2147 | call feti_desremo(dim,j-1,a,b(1,j),b(1,j)) |
|---|
| 2148 | end do |
|---|
| 2149 | do j=1,dim |
|---|
| 2150 | do i=j,dim |
|---|
| 2151 | a(i,j)=b(i,j) |
|---|
| 2152 | a(j,i)=b(i,j) |
|---|
| 2153 | end do |
|---|
| 2154 | end do |
|---|
| 2155 | |
|---|
| 2156 | return |
|---|
| 2157 | end |
|---|
| 2158 | !*********************************************************************** |
|---|
| 2159 | subroutine feti_nbdia(n,d,w,v) |
|---|
| 2160 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2161 | dimension d(n),v(n,n),w(n,n) |
|---|
| 2162 | |
|---|
| 2163 | do 1 j=1,n |
|---|
| 2164 | do 2 i=1,n |
|---|
| 2165 | v(i,j)=v(i,j)-d(i)*w(i,j)*d(j) |
|---|
| 2166 | 2 continue |
|---|
| 2167 | 1 continue |
|---|
| 2168 | |
|---|
| 2169 | return |
|---|
| 2170 | end |
|---|
| 2171 | !*********************************************************************** |
|---|
| 2172 | subroutine feti_liblod(n,ni,a,ndimd,nb,db) |
|---|
| 2173 | |
|---|
| 2174 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2175 | dimension db(ndimd,ndimd) |
|---|
| 2176 | ! tableaux descripteurs de la structure morse de la matrice . |
|---|
| 2177 | dimension a(n,5) |
|---|
| 2178 | |
|---|
| 2179 | call feti_vclr(ndimd*ndimd,db) |
|---|
| 2180 | ! do i=1,ndimd*ndimd |
|---|
| 2181 | ! db(i,1)=0.e0 |
|---|
| 2182 | !8 continue |
|---|
| 2183 | n0=(nb-1)*ndimd |
|---|
| 2184 | ! lecture de la diagonale db(i,i) . |
|---|
| 2185 | do 3 i=1,ndimd |
|---|
| 2186 | db(i,i)=a(n0+i,3) |
|---|
| 2187 | 3 continue |
|---|
| 2188 | ! lecture de la premiere sur-diagonale db(i,i+1) . |
|---|
| 2189 | do 4 i=1,ndimd-1 |
|---|
| 2190 | db(i,i+1)=a(n0+i,4) |
|---|
| 2191 | 4 continue |
|---|
| 2192 | ! lecture de la premiere sous-diagonale db(i,i-1) . |
|---|
| 2193 | do 2 i=2,ndimd |
|---|
| 2194 | db(i,i-1)=a(n0+i,2) |
|---|
| 2195 | 2 continue |
|---|
| 2196 | |
|---|
| 2197 | return |
|---|
| 2198 | end |
|---|
| 2199 | !*********************************************************************** |
|---|
| 2200 | subroutine feti_liblos(n,a,ndimd,nb,v) |
|---|
| 2201 | |
|---|
| 2202 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2203 | dimension v(ndimd) |
|---|
| 2204 | ! tableaux descripteurs de la structure morse de la matrice . |
|---|
| 2205 | dimension a(n,5) |
|---|
| 2206 | |
|---|
| 2207 | n0=(nb-1)*ndimd |
|---|
| 2208 | ! lecture de la deuxieme sur-diagonale v(i) . |
|---|
| 2209 | do 5 i=1,ndimd |
|---|
| 2210 | v(i)=a(n0+i,5) |
|---|
| 2211 | 5 continue |
|---|
| 2212 | |
|---|
| 2213 | return |
|---|
| 2214 | end |
|---|
| 2215 | !*********************************************************************** |
|---|
| 2216 | subroutine feti_resloc(n,ni,nj,a,lcmat,cmat,y,x,z) |
|---|
| 2217 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2218 | dimension a(n,5) |
|---|
| 2219 | ! routine de resolution utilisant la decomposition frontale par blocs |
|---|
| 2220 | ! de la matrice heptadiagonale a . |
|---|
| 2221 | ! cmat contient les termes des blocs diagonaux factorises . |
|---|
| 2222 | dimension cmat(lcmat) |
|---|
| 2223 | ! d contient l'inverse de la diagonale de Crout . |
|---|
| 2224 | dimension y(n),x(n),z(n) |
|---|
| 2225 | ! |
|---|
| 2226 | call feti_vmov(n,y,z) |
|---|
| 2227 | ndimd=ni |
|---|
| 2228 | lbd=ndimd*ndimd |
|---|
| 2229 | ! descente du systeme . |
|---|
| 2230 | do nb=1,nj-1 |
|---|
| 2231 | ! calcul du second membre condense : z(i+1)=y(i+1)- FD-1 z(i) . |
|---|
| 2232 | iacmat=(nb-1)*lbd+1 |
|---|
| 2233 | n0=(nb-1)*ndimd |
|---|
| 2234 | call feti_mxv(ndimd,ndimd,cmat(iacmat),z(n0+1),x(n0+1)) |
|---|
| 2235 | call feti_pbloi(n,ni,nj,a,x,z,nb) |
|---|
| 2236 | end do |
|---|
| 2237 | ! inversion du dernier bloc diagonal . |
|---|
| 2238 | iacmat=(nj-1)*lbd+1 |
|---|
| 2239 | n0=(nj-1)*ndimd |
|---|
| 2240 | call feti_mxv(ndimd,ndimd,cmat(iacmat),z(n0+1),x(n0+1)) |
|---|
| 2241 | ! remontee du systeme par bloc . |
|---|
| 2242 | do nb=nj-1,1,-1 |
|---|
| 2243 | ! calcul du second membre condense : z(i)=z(i)- E x(i+1) . |
|---|
| 2244 | call feti_pblos(n,ni,nj,a,x,z,nb) |
|---|
| 2245 | ! calcul de la solution pour le bloc diagonal courant . |
|---|
| 2246 | iacmat=(nb-1)*lbd+1 |
|---|
| 2247 | n0=(nb-1)*ndimd |
|---|
| 2248 | call feti_mxv(ndimd,ndimd,cmat(iacmat),z(n0+1),x(n0+1)) |
|---|
| 2249 | end do |
|---|
| 2250 | |
|---|
| 2251 | end |
|---|
| 2252 | !*********************************************************************** |
|---|
| 2253 | subroutine feti_pblos(n,ni,nj,a,x,y,nb) |
|---|
| 2254 | ! calcul du produit matrice-vecteur morse : y = y - A x . |
|---|
| 2255 | ! produit par le bloc superieur numero nb . |
|---|
| 2256 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2257 | dimension a(n,5) |
|---|
| 2258 | dimension x(n),y(n) |
|---|
| 2259 | |
|---|
| 2260 | n0=(nb-1)*ni |
|---|
| 2261 | ! produit par la deuxieme sur-diagonale a(i,i+ni) . |
|---|
| 2262 | do i=n0+1,n0+ni |
|---|
| 2263 | y(i)=y(i)-x(i+ni)*a(i,5) |
|---|
| 2264 | end do |
|---|
| 2265 | |
|---|
| 2266 | end subroutine feti_pblos |
|---|
| 2267 | !*********************************************************************** |
|---|
| 2268 | subroutine feti_pbloi(n,ni,nj,a,x,y,nb) |
|---|
| 2269 | ! calcul du produit matrice-vecteur morse : y = y - A x . |
|---|
| 2270 | ! produit par le bloc inferieur numero nb . |
|---|
| 2271 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2272 | dimension a(n,5) |
|---|
| 2273 | dimension x(n),y(n) |
|---|
| 2274 | |
|---|
| 2275 | n0=nb*ni |
|---|
| 2276 | ! produit par la deuxieme sous-diagonale a(i,i-ni) . |
|---|
| 2277 | do i=n0+1,n0+ni |
|---|
| 2278 | y(i)=y(i)-x(i-ni)*a(i,1) |
|---|
| 2279 | end do |
|---|
| 2280 | |
|---|
| 2281 | end subroutine feti_pbloi |
|---|
| 2282 | !*********************************************************************** |
|---|
| 2283 | subroutine feti_proax(n,ni,nj,a,x,y) |
|---|
| 2284 | ! calcul du produit matrice-vecteur morse par la matrice heptadiagonale |
|---|
| 2285 | ! a stockee par bandes . |
|---|
| 2286 | implicit REAL(kind=8) (a-h,o-z) |
|---|
| 2287 | dimension a(n,5) |
|---|
| 2288 | dimension x(n),y(n) |
|---|
| 2289 | |
|---|
| 2290 | ! produit par la diagonale . |
|---|
| 2291 | do i=1,n |
|---|
| 2292 | y(i)=x(i)*a(i,3) |
|---|
| 2293 | end do |
|---|
| 2294 | ! produit par la premiere sur-diagonale a(i,i+1) . |
|---|
| 2295 | do i=1,n-1 |
|---|
| 2296 | y(i)=y(i)+x(i+1)*a(i,4) |
|---|
| 2297 | end do |
|---|
| 2298 | ! produit par la deuxieme sur-diagonale a(i,i+ni) . |
|---|
| 2299 | do i=1,n-ni |
|---|
| 2300 | y(i)=y(i)+x(i+ni)*a(i,5) |
|---|
| 2301 | end do |
|---|
| 2302 | ! produit par la premiere sous-diagonale a(i,i-1) |
|---|
| 2303 | do i=2,n |
|---|
| 2304 | y(i)=y(i)+x(i-1)*a(i,2) |
|---|
| 2305 | end do |
|---|
| 2306 | ! produit par la deuxieme sous-diagonale a(i,i-ni) |
|---|
| 2307 | do i=1+ni,n |
|---|
| 2308 | y(i)=y(i)+x(i-ni)*a(i,1) |
|---|
| 2309 | end do |
|---|
| 2310 | |
|---|
| 2311 | end subroutine feti_proax |
|---|
| 2312 | |
|---|
| 2313 | #else |
|---|
| 2314 | !! no use of FETI librairy |
|---|
| 2315 | #endif |
|---|
| 2316 | |
|---|
| 2317 | !!====================================================================== |
|---|
| 2318 | END MODULE lib_feti |
|---|
