Date: 2013-07-02T14:47:58+00:00

Actual source code: fbcgs.c
petsc-3.4.2 2013-07-02

      2: /*
      3:     This file implements flexible BiCGStab (FBiCGStab).
      4:     Only allow right preconditioning.
      5: */
      6: #include <../src/ksp/ksp/impls/bcgs/bcgsimpl.h>       /*I  "petscksp.h"  I*/

     10: static PetscErrorCode KSPSetUp_FBCGS(KSP ksp)
     11: {

     15:   KSPSetWorkVecs(ksp,8);
     16:   return(0);
     17: }

     19: /* Only need a few hacks from KSPSolve_BCGS */
     20: #include <petsc-private/pcimpl.h>            /*I "petscksp.h" I*/
     23: static PetscErrorCode  KSPSolve_FBCGS(KSP ksp)
     24: {
     26:   PetscInt       i;
     27:   PetscScalar    rho,rhoold,alpha,beta,omega,omegaold,d1;
     28:   Vec            X,B,V,P,R,RP,T,S,P2,S2;
     29:   PetscReal      dp    = 0.0,d2;
     30:   KSP_BCGS       *bcgs = (KSP_BCGS*)ksp->data;
     31:   PC             pc;

     34:   X  = ksp->vec_sol;
     35:   B  = ksp->vec_rhs;
     36:   R  = ksp->work[0];
     37:   RP = ksp->work[1];
     38:   V  = ksp->work[2];
     39:   T  = ksp->work[3];
     40:   S  = ksp->work[4];
     41:   P  = ksp->work[5];
     42:   S2 = ksp->work[6];
     43:   P2 = ksp->work[7];

     45:   /* Only supports right preconditioning */
     46:   if (ksp->pc_side != PC_RIGHT) SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_SUP,"KSP fbcgs does not support %s",PCSides[ksp->pc_side]);
     47:   if (!ksp->guess_zero) {
     48:     if (!bcgs->guess) {
     49:       VecDuplicate(X,&bcgs->guess);
     50:     }
     51:     VecCopy(X,bcgs->guess);
     52:   } else {
     53:     VecSet(X,0.0);
     54:   }

     56:   /* Compute initial residual */
     57:   KSPGetPC(ksp,&pc);
     58:   PCSetUp(pc);
     59:   if (!ksp->guess_zero) {
     60:     MatMult(pc->mat,X,S2);
     61:     VecCopy(B,R);
     62:     VecAXPY(R,-1.0,S2);
     63:   } else {
     64:     VecCopy(B,R);
     65:   }

     67:   /* Test for nothing to do */
     68:   if (ksp->normtype != KSP_NORM_NONE) {
     69:     VecNorm(R,NORM_2,&dp);
     70:   }
     71:   PetscObjectAMSTakeAccess((PetscObject)ksp);
     72:   ksp->its   = 0;
     73:   ksp->rnorm = dp;
     74:   PetscObjectAMSGrantAccess((PetscObject)ksp);
     75:   KSPLogResidualHistory(ksp,dp);
     76:   KSPMonitor(ksp,0,dp);
     77:   (*ksp->converged)(ksp,0,dp,&ksp->reason,ksp->cnvP);
     78:   if (ksp->reason) return(0);

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

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

     89:   i=0;
     90:   do {
     91:     VecDot(R,RP,&rho); /* rho <- (r,rp) */
     92:     beta = (rho/rhoold) * (alpha/omegaold);
     93:     VecAXPBYPCZ(P,1.0,-omegaold*beta,beta,R,V); /* p <- r - omega * beta* v + beta * p */

     95:     PCApply(pc,P,P2); /* p2 <- K p */
     96:     MatMult(pc->mat,P2,V); /* v <- A p2 */

     98:     VecDot(V,RP,&d1);
     99:     if (d1 == 0.0) SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_PLIB,"Divide by zero");
    100:     alpha = rho / d1; /* alpha <- rho / (v,rp) */
    101:     VecWAXPY(S,-alpha,V,R); /* s <- r - alpha v */

    103:     PCApply(pc,S,S2); /* s2 <- K s */
    104:     MatMult(pc->mat,S2,T); /* t <- A s2 */

    106:     VecDotNorm2(S,T,&d1,&d2);
    107:     if (d2 == 0.0) {
    108:       /* t is 0. if s is 0, then alpha v == r, and hence alpha p 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,P2);   /* x <- x + alpha p2 */
    115:       PetscObjectAMSTakeAccess((PetscObject)ksp);
    116:       ksp->its++;
    117:       ksp->rnorm  = 0.0;
    118:       ksp->reason = KSP_CONVERGED_RTOL;
    119:       PetscObjectAMSGrantAccess((PetscObject)ksp);
    120:       KSPLogResidualHistory(ksp,dp);
    121:       KSPMonitor(ksp,i+1,0.0);
    122:       break;
    123:     }
    124:     omega = d1 / d2; /* omega <- (t's) / (t't) */
    125:     VecAXPBYPCZ(X,alpha,omega,1.0,P2,S2); /* x <- alpha * p2 + omega * s2 + x */

    127:     VecWAXPY(R,-omega,T,S);  /* r <- s - omega t */
    128:     if (ksp->normtype != KSP_NORM_NONE && ksp->chknorm < i+2) {
    129:       VecNorm(R,NORM_2,&dp);
    130:     }

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

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

    150:   if (i >= ksp->max_it) ksp->reason = KSP_DIVERGED_ITS;
    151:   return(0);
    152: }

    154: /*MC
    155:      KSPFBCGS - Implements flexible BiCGStab method.

    157:    Options Database Keys:
    158: .   see KSPSolve()

    160:    Level: beginner

    162:    Notes: Only allow right preconditioning

    164: .seealso:  KSPCreate(), KSPSetType(), KSPType (for list of available types), KSP, KSPBICG, KSPFBCGSL, KSPSetPCSide()
    165: M*/
    168: PETSC_EXTERN PetscErrorCode KSPCreate_FBCGS(KSP ksp)
    169: {
    171:   KSP_BCGS       *bcgs;

    174:   PetscNewLog(ksp,KSP_BCGS,&bcgs);

    176:   ksp->data                = bcgs;
    177:   ksp->ops->setup          = KSPSetUp_FBCGS;
    178:   ksp->ops->solve          = KSPSolve_FBCGS;
    179:   ksp->ops->destroy        = KSPDestroy_BCGS;
    180:   ksp->ops->reset          = KSPReset_BCGS;
    181:   ksp->ops->buildresidual  = KSPBuildResidualDefault;
    182:   ksp->ops->setfromoptions = KSPSetFromOptions_BCGS;
    183:   ksp->pc_side             = PC_RIGHT;  /* set default PC side */

    185:   KSPSetSupportedNorm(ksp,KSP_NORM_PRECONDITIONED,PC_LEFT,2);
    186:   KSPSetSupportedNorm(ksp,KSP_NORM_UNPRECONDITIONED,PC_RIGHT,1);
    187:   return(0);
    188: }