Date: 2016-07-24T17:06:11+00:00

Actual source code: bcgs.c
petsc-3.7.3 2016-07-24
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      2: #include <../src/ksp/ksp/impls/bcgs/bcgsimpl.h>       /*I  "petscksp.h"  I*/

      6: PetscErrorCode KSPSetFromOptions_BCGS(PetscOptionItems *PetscOptionsObject,KSP ksp)
      7: {

     11:   PetscOptionsHead(PetscOptionsObject,"KSP BCGS Options");
     12:   PetscOptionsTail();
     13:   return(0);
     14: }

     18: PetscErrorCode KSPSetUp_BCGS(KSP ksp)
     19: {

     23:   KSPSetWorkVecs(ksp,6);
     24:   return(0);
     25: }

     30: PetscErrorCode KSPSolve_BCGS(KSP ksp)
     31: {
     33:   PetscInt       i;
     34:   PetscScalar    rho,rhoold,alpha,beta,omega,omegaold,d1;
     35:   Vec            X,B,V,P,R,RP,T,S;
     36:   PetscReal      dp    = 0.0,d2;
     37:   KSP_BCGS       *bcgs = (KSP_BCGS*)ksp->data;

     40:   X  = ksp->vec_sol;
     41:   B  = ksp->vec_rhs;
     42:   R  = ksp->work[0];
     43:   RP = ksp->work[1];
     44:   V  = ksp->work[2];
     45:   T  = ksp->work[3];
     46:   S  = ksp->work[4];
     47:   P  = ksp->work[5];

     49:   /* Compute initial preconditioned residual */
     50:   KSPInitialResidual(ksp,X,V,T,R,B);

     52:   /* with right preconditioning need to save initial guess to add to final solution */
     53:   if (ksp->pc_side == PC_RIGHT && !ksp->guess_zero) {
     54:     if (!bcgs->guess) {
     55:       VecDuplicate(X,&bcgs->guess);
     56:     }
     57:     VecCopy(X,bcgs->guess);
     58:     VecSet(X,0.0);
     59:   }

     61:   /* Test for nothing to do */
     62:   if (ksp->normtype != KSP_NORM_NONE) {
     63:     VecNorm(R,NORM_2,&dp);
     64:   }
     65:   PetscObjectSAWsTakeAccess((PetscObject)ksp);
     66:   ksp->its   = 0;
     67:   ksp->rnorm = dp;
     68:   PetscObjectSAWsGrantAccess((PetscObject)ksp);
     69:   KSPLogResidualHistory(ksp,dp);
     70:   KSPMonitor(ksp,0,dp);
     71:   (*ksp->converged)(ksp,0,dp,&ksp->reason,ksp->cnvP);
     72:   if (ksp->reason) {
     73:     if (bcgs->guess) {
     74:       VecAXPY(X,1.0,bcgs->guess);
     75:     }
     76:     return(0);
     77:   }

     79:   /* Make the initial Rp == R */
     80:   VecCopy(R,RP);

     82:   rhoold   = 1.0;
     83:   alpha    = 1.0;
     84:   omegaold = 1.0;
     85:   VecSet(P,0.0);
     86:   VecSet(V,0.0);

     88:   i=0;
     89:   do {
     90:     VecDot(R,RP,&rho);       /*   rho <- (r,rp)      */
     91:     beta = (rho/rhoold) * (alpha/omegaold);
     92:     VecAXPBYPCZ(P,1.0,-omegaold*beta,beta,R,V);  /* p <- r - omega * beta* v + beta * p */
     93:     KSP_PCApplyBAorAB(ksp,P,V,T);  /*   v <- K p           */
     94:     VecDot(V,RP,&d1);
     95:     if (d1 == 0.0) {
     96:       if (ksp->errorifnotconverged) SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_NOT_CONVERGED,"KSPSolve has not converged due to Nan or Inf inner product");
     97:       else {
     98:         ksp->reason = KSP_DIVERGED_NANORINF;
     99:         break;
    100:       }
    101:     }
    102:     alpha = rho / d1;                 /*   a <- rho / (v,rp)  */
    103:     VecWAXPY(S,-alpha,V,R);     /*   s <- r - a v       */
    104:     KSP_PCApplyBAorAB(ksp,S,T,R); /*   t <- K s    */
    105:     VecDotNorm2(S,T,&d1,&d2);
    106:     if (d2 == 0.0) {
    107:       /* t is 0.  if s is 0, then alpha v == r, and hence alpha p
    108:          may be our solution.  Give it a try? */
    109:       VecDot(S,S,&d1);
    110:       if (d1 != 0.0) {
    111:         ksp->reason = KSP_DIVERGED_BREAKDOWN;
    112:         break;
    113:       }
    114:       VecAXPY(X,alpha,P);   /*   x <- x + a p       */
    115:       PetscObjectSAWsTakeAccess((PetscObject)ksp);
    116:       ksp->its++;
    117:       ksp->rnorm  = 0.0;
    118:       ksp->reason = KSP_CONVERGED_RTOL;
    119:       PetscObjectSAWsGrantAccess((PetscObject)ksp);
    120:       KSPLogResidualHistory(ksp,dp);
    121:       KSPMonitor(ksp,i+1,0.0);
    122:       break;
    123:     }
    124:     omega = d1 / d2;                               /*   w <- (t's) / (t't) */
    125:     VecAXPBYPCZ(X,alpha,omega,1.0,P,S); /* x <- alpha * p + omega * s + x */
    126:     VecWAXPY(R,-omega,T,S);     /*   r <- s - w t       */
    127:     if (ksp->normtype != KSP_NORM_NONE && ksp->chknorm < i+2) {
    128:       VecNorm(R,NORM_2,&dp);
    129:     }

    131:     rhoold   = rho;
    132:     omegaold = omega;

    134:     PetscObjectSAWsTakeAccess((PetscObject)ksp);
    135:     ksp->its++;
    136:     ksp->rnorm = dp;
    137:     PetscObjectSAWsGrantAccess((PetscObject)ksp);
    138:     KSPLogResidualHistory(ksp,dp);
    139:     KSPMonitor(ksp,i+1,dp);
    140:     (*ksp->converged)(ksp,i+1,dp,&ksp->reason,ksp->cnvP);
    141:     if (ksp->reason) break;
    142:     if (rho == 0.0) {
    143:       ksp->reason = KSP_DIVERGED_BREAKDOWN;
    144:       break;
    145:     }
    146:     i++;
    147:   } while (i<ksp->max_it);

    149:   if (i >= ksp->max_it) ksp->reason = KSP_DIVERGED_ITS;

    151:   KSPUnwindPreconditioner(ksp,X,T);
    152:   if (bcgs->guess) {
    153:     VecAXPY(X,1.0,bcgs->guess);
    154:   }
    155:   return(0);
    156: }

    160: PetscErrorCode KSPBuildSolution_BCGS(KSP ksp,Vec v,Vec *V)
    161: {
    163:   KSP_BCGS       *bcgs = (KSP_BCGS*)ksp->data;

    166:   if (ksp->pc_side == PC_RIGHT) {
    167:     if (v) {
    168:       KSP_PCApply(ksp,ksp->vec_sol,v);
    169:       if (bcgs->guess) {
    170:         VecAXPY(v,1.0,bcgs->guess);
    171:       }
    172:       *V = v;
    173:     } else SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_SUP,"Not working with right preconditioner");
    174:   } else {
    175:     if (v) {
    176:       VecCopy(ksp->vec_sol,v); *V = v;
    177:     } else *V = ksp->vec_sol;
    178:   }
    179:   return(0);
    180: }

    184: PetscErrorCode KSPReset_BCGS(KSP ksp)
    185: {
    186:   KSP_BCGS       *cg = (KSP_BCGS*)ksp->data;

    190:   VecDestroy(&cg->guess);
    191:   return(0);
    192: }

    196: PetscErrorCode KSPDestroy_BCGS(KSP ksp)
    197: {

    201:   KSPReset_BCGS(ksp);
    202:   KSPDestroyDefault(ksp);
    203:   return(0);
    204: }

    206: /*MC
    207:      KSPBCGS - Implements the BiCGStab (Stabilized version of BiConjugate Gradient) method.

    209:    Options Database Keys:
    210: .   see KSPSolve()

    212:    Level: beginner

    214:    Notes: See KSPBCGSL for additional stabilization
    215:           Supports left and right preconditioning but not symmetric

    217:    References:
    218: .    1. -   van der Vorst, SIAM J. Sci. Stat. Comput., 1992.

    220: .seealso:  KSPCreate(), KSPSetType(), KSPType (for list of available types), KSP, KSPBICG, KSPBCGSL, KSPFBICG, KSPSetPCSide()
    221: M*/
    224: PETSC_EXTERN PetscErrorCode KSPCreate_BCGS(KSP ksp)
    225: {
    227:   KSP_BCGS       *bcgs;

    230:   PetscNewLog(ksp,&bcgs);

    232:   ksp->data                = bcgs;
    233:   ksp->ops->setup          = KSPSetUp_BCGS;
    234:   ksp->ops->solve          = KSPSolve_BCGS;
    235:   ksp->ops->destroy        = KSPDestroy_BCGS;
    236:   ksp->ops->reset          = KSPReset_BCGS;
    237:   ksp->ops->buildsolution  = KSPBuildSolution_BCGS;
    238:   ksp->ops->buildresidual  = KSPBuildResidualDefault;
    239:   ksp->ops->setfromoptions = KSPSetFromOptions_BCGS;

    241:   KSPSetSupportedNorm(ksp,KSP_NORM_PRECONDITIONED,PC_LEFT,3);
    242:   KSPSetSupportedNorm(ksp,KSP_NORM_UNPRECONDITIONED,PC_RIGHT,2);
    243:   return(0);
    244: }