예제 #1
0
파일: ex67.c 프로젝트: lw4992/petsc
int main(int argc, char **argv)
{
  SNES           snes;                 /* nonlinear solver */
  Mat            A,J;                  /* Jacobian,preconditioner matrix */
  Vec            u,r;                  /* solution, residual vectors */
  AppCtx         user;                 /* user-defined work context */
  PetscReal      error = 0.0;          /* L_2 error in the solution */
  PetscErrorCode ierr;

  ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
  ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
  ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
  ierr = CreateMesh(PETSC_COMM_WORLD, &user, &user.dm);CHKERRQ(ierr);
  ierr = SNESSetDM(snes, user.dm);CHKERRQ(ierr);

  ierr = SetupExactSolution(&user);CHKERRQ(ierr);
  ierr = SetupQuadrature(&user);CHKERRQ(ierr);
  ierr = SetupSection(user.dm, &user);CHKERRQ(ierr);

  ierr = DMCreateGlobalVector(user.dm, &u);CHKERRQ(ierr);
  ierr = VecDuplicate(u, &r);CHKERRQ(ierr);

  ierr = DMSetMatType(user.dm,MATAIJ);CHKERRQ(ierr);
  ierr = DMCreateMatrix(user.dm, &J);CHKERRQ(ierr);
  A    = J;

  ierr = DMSNESSetFunctionLocal(user.dm,  (PetscErrorCode (*)(DM,Vec,Vec,void*))FormFunctionLocal,&user);CHKERRQ(ierr);
  ierr = DMSNESSetJacobianLocal(user.dm,  (PetscErrorCode (*)(DM,Vec,Mat,Mat,void*))FormJacobianLocal,&user);CHKERRQ(ierr);

  ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);

  {
    PetscReal res;

    /* Check discretization error */
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
    ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    /* ierr = ComputeError(u, &error, &user);CHKERRQ(ierr); */
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);
    /* Check residual */
    ierr = SNESComputeFunction(snes,u,r);CHKERRQ(ierr);

    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
    ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
    ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
  }

  ierr = VecDestroy(&u);CHKERRQ(ierr);
  ierr = VecDestroy(&r);CHKERRQ(ierr);
  ierr = SNESDestroy(&snes);CHKERRQ(ierr);
  ierr = DMDestroy(&user.dm);CHKERRQ(ierr);
  ierr = PetscFinalize();
  return 0;
}
예제 #2
0
int main(int argc, char **argv)
{
  SNES           snes;                 /* nonlinear solver */
  DM             dm;                   /* problem definition */
  Vec            u,r;                  /* solution, residual vectors */
  Mat            A,J;                  /* Jacobian matrix */
  MatNullSpace   nullSpace;            /* May be necessary for pressure */
  AppCtx         user;                 /* user-defined work context */
  JacActionCtx   userJ;                /* context for Jacobian MF action */
  PetscInt       its;                  /* iterations for convergence */
  PetscReal      error         = 0.0;  /* L_2 error in the solution */
  PetscInt       numComponents = 0, f;
  PetscErrorCode ierr;

  ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
  ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
  ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
  ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
  ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);

  ierr = SetupElement(dm, &user);CHKERRQ(ierr);
  for (f = 0; f < NUM_FIELDS; ++f) {
    PetscInt numComp;
    ierr = PetscFEGetNumComponents(user.fe[f], &numComp);CHKERRQ(ierr);
    numComponents += numComp;
  }
  ierr = PetscMalloc(NUM_FIELDS * sizeof(void (*)(const PetscReal[], PetscScalar *)), &user.exactFuncs);CHKERRQ(ierr);
  user.fem.bcFuncs = (void (**)(const PetscReal[], PetscScalar *)) user.exactFuncs;
  ierr = SetupExactSolution(dm, &user);CHKERRQ(ierr);
  ierr = SetupSection(dm, &user);CHKERRQ(ierr);
  ierr = DMPlexCreateClosureIndex(dm, NULL);CHKERRQ(ierr);

  ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
  ierr = VecDuplicate(u, &r);CHKERRQ(ierr);

  ierr = DMSetMatType(dm,MATAIJ);CHKERRQ(ierr);
  ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr);
  if (user.jacobianMF) {
    PetscInt M, m, N, n;

    ierr = MatGetSize(J, &M, &N);CHKERRQ(ierr);
    ierr = MatGetLocalSize(J, &m, &n);CHKERRQ(ierr);
    ierr = MatCreate(PETSC_COMM_WORLD, &A);CHKERRQ(ierr);
    ierr = MatSetSizes(A, m, n, M, N);CHKERRQ(ierr);
    ierr = MatSetType(A, MATSHELL);CHKERRQ(ierr);
    ierr = MatSetUp(A);CHKERRQ(ierr);
    ierr = MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction);CHKERRQ(ierr);

    userJ.dm   = dm;
    userJ.J    = J;
    userJ.user = &user;

    ierr = DMCreateLocalVector(dm, &userJ.u);CHKERRQ(ierr);
    ierr = DMPlexProjectFunctionLocal(dm, user.fe, user.exactFuncs, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);
    ierr = MatShellSetContext(A, &userJ);CHKERRQ(ierr);
  } else {
    A = J;
  }
  ierr = CreatePressureNullSpace(dm, &user, &nullSpace);CHKERRQ(ierr);
  ierr = MatSetNullSpace(J, nullSpace);CHKERRQ(ierr);
  if (A != J) {
    ierr = MatSetNullSpace(A, nullSpace);CHKERRQ(ierr);
  }

  ierr = DMSNESSetFunctionLocal(dm,  (PetscErrorCode (*)(DM,Vec,Vec,void*))DMPlexComputeResidualFEM,&user);CHKERRQ(ierr);
  ierr = DMSNESSetJacobianLocal(dm,  (PetscErrorCode (*)(DM,Vec,Mat,Mat,MatStructure*,void*))DMPlexComputeJacobianFEM,&user);CHKERRQ(ierr);
  ierr = SNESSetJacobian(snes, A, J, NULL, NULL);CHKERRQ(ierr);

  ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);

  ierr = DMPlexProjectFunction(dm, user.fe, user.exactFuncs, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
  if (user.showInitial) {ierr = DMVecViewLocal(dm, u, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);}
  if (user.runType == RUN_FULL) {
    ierr = DMPlexProjectFunction(dm, user.fe, user.initialGuess, INSERT_VALUES, u);CHKERRQ(ierr);
    if (user.showInitial) {ierr = DMVecViewLocal(dm, u, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);}
    if (user.debug) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
    ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
    ierr = SNESGetIterationNumber(snes, &its);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Number of SNES iterations = %D\n", its);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, u, &error);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %.3g\n", error);CHKERRQ(ierr);
    if (user.showSolution) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution\n");CHKERRQ(ierr);
      ierr = VecChop(u, 3.0e-9);CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
  } else {
    PetscReal res = 0.0;

    /* Check discretization error */
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
    ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, u, &error);CHKERRQ(ierr);
    if (error >= 1.0e-11) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);
    } else {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n", error);CHKERRQ(ierr);
    }
    /* Check residual */
    ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
    ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
    ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
    /* Check Jacobian */
    {
      Vec          b;
      MatStructure flag;
      PetscBool    isNull;

      ierr = SNESComputeJacobian(snes, u, &A, &A, &flag);CHKERRQ(ierr);
      ierr = MatNullSpaceTest(nullSpace, J, &isNull);CHKERRQ(ierr);
      if (!isNull) SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_PLIB, "The null space calculated for the system operator is invalid.");
      ierr = VecDuplicate(u, &b);CHKERRQ(ierr);
      ierr = VecSet(r, 0.0);CHKERRQ(ierr);
      ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr);
      ierr = MatMult(A, u, r);CHKERRQ(ierr);
      ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr);
      ierr = VecDestroy(&b);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n");CHKERRQ(ierr);
      ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
      ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
      ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", res);CHKERRQ(ierr);
    }
  }

  if (user.runType == RUN_FULL) {
    PetscViewer viewer;
    Vec         uLocal;
    const char *name;

    ierr = PetscViewerCreate(PETSC_COMM_WORLD, &viewer);CHKERRQ(ierr);
    ierr = PetscViewerSetType(viewer, PETSCVIEWERVTK);CHKERRQ(ierr);
    ierr = PetscViewerSetFormat(viewer, PETSC_VIEWER_ASCII_VTK);CHKERRQ(ierr);
    ierr = PetscViewerFileSetName(viewer, "ex62_sol.vtk");CHKERRQ(ierr);

    ierr = DMGetLocalVector(dm, &uLocal);CHKERRQ(ierr);
    ierr = PetscObjectGetName((PetscObject) u, &name);CHKERRQ(ierr);
    ierr = PetscObjectSetName((PetscObject) uLocal, name);CHKERRQ(ierr);
    ierr = DMGlobalToLocalBegin(dm, u, INSERT_VALUES, uLocal);CHKERRQ(ierr);
    ierr = DMGlobalToLocalEnd(dm, u, INSERT_VALUES, uLocal);CHKERRQ(ierr);
    ierr = VecView(uLocal, viewer);CHKERRQ(ierr);
    ierr = DMRestoreLocalVector(dm, &uLocal);CHKERRQ(ierr);

    ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
  }

  ierr = PetscFree(user.exactFuncs);CHKERRQ(ierr);
  ierr = DestroyElement(&user);CHKERRQ(ierr);
  ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
  if (user.jacobianMF) {
    ierr = VecDestroy(&userJ.u);CHKERRQ(ierr);
  }
  if (A != J) {
    ierr = MatDestroy(&A);CHKERRQ(ierr);
  }
  ierr = MatDestroy(&J);CHKERRQ(ierr);
  ierr = VecDestroy(&u);CHKERRQ(ierr);
  ierr = VecDestroy(&r);CHKERRQ(ierr);
  ierr = SNESDestroy(&snes);CHKERRQ(ierr);
  ierr = DMDestroy(&dm);CHKERRQ(ierr);
  ierr = PetscFinalize();
  return 0;
}
예제 #3
0
파일: ex62.c 프로젝트: feelpp/debian-petsc
int main(int argc, char **argv)
{
  SNES           snes;                 /* nonlinear solver */
  Vec            u,r;                  /* solution, residual vectors */
  Mat            A,J;                  /* Jacobian matrix */
  MatNullSpace   nullSpace;            /* May be necessary for pressure */
  AppCtx         user;                 /* user-defined work context */
  JacActionCtx   userJ;                /* context for Jacobian MF action */
  PetscInt       its;                  /* iterations for convergence */
  PetscReal      error         = 0.0;  /* L_2 error in the solution */
  const PetscInt numComponents = NUM_BASIS_COMPONENTS_TOTAL;
  PetscErrorCode ierr;

  ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
  ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
  ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
  ierr = CreateMesh(PETSC_COMM_WORLD, &user, &user.dm);CHKERRQ(ierr);
  ierr = SNESSetDM(snes, user.dm);CHKERRQ(ierr);

  ierr = SetupExactSolution(user.dm, &user);CHKERRQ(ierr);
  ierr = SetupQuadrature(&user);CHKERRQ(ierr);
  ierr = SetupSection(user.dm, &user);CHKERRQ(ierr);

  ierr = DMCreateGlobalVector(user.dm, &u);CHKERRQ(ierr);
  ierr = VecDuplicate(u, &r);CHKERRQ(ierr);

  ierr = DMCreateMatrix(user.dm, MATAIJ, &J);CHKERRQ(ierr);
  if (user.jacobianMF) {
    PetscInt M, m, N, n;

    ierr = MatGetSize(J, &M, &N);CHKERRQ(ierr);
    ierr = MatGetLocalSize(J, &m, &n);CHKERRQ(ierr);
    ierr = MatCreate(PETSC_COMM_WORLD, &A);CHKERRQ(ierr);
    ierr = MatSetSizes(A, m, n, M, N);CHKERRQ(ierr);
    ierr = MatSetType(A, MATSHELL);CHKERRQ(ierr);
    ierr = MatSetUp(A);CHKERRQ(ierr);
    ierr = MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction);CHKERRQ(ierr);

    userJ.dm   = user.dm;
    userJ.J    = J;
    userJ.user = &user;

    ierr = DMCreateLocalVector(user.dm, &userJ.u);CHKERRQ(ierr);
    ierr = DMPlexProjectFunctionLocal(user.dm, numComponents, user.exactFuncs, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);
    ierr = MatShellSetContext(A, &userJ);CHKERRQ(ierr);
  } else {
    A = J;
  }
  ierr = CreatePressureNullSpace(user.dm, &user, &nullSpace);CHKERRQ(ierr);
  ierr = MatSetNullSpace(J, nullSpace);CHKERRQ(ierr);
  if (A != J) {
    ierr = MatSetNullSpace(A, nullSpace);CHKERRQ(ierr);
  }

  ierr = DMSNESSetFunctionLocal(user.dm,  (PetscErrorCode (*)(DM,Vec,Vec,void*))DMPlexComputeResidualFEM,&user);CHKERRQ(ierr);
  ierr = DMSNESSetJacobianLocal(user.dm,  (PetscErrorCode (*)(DM,Vec,Mat,Mat,MatStructure*,void*))DMPlexComputeJacobianFEM,&user);CHKERRQ(ierr);
  ierr = SNESSetJacobian(snes, A, J, NULL, NULL);CHKERRQ(ierr);

  ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);

  ierr = DMPlexProjectFunction(user.dm, numComponents, user.exactFuncs, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
  if (user.showInitial) {ierr = DMVecViewLocal(user.dm, u, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);}
  if (user.runType == RUN_FULL) {
    PetscScalar (*initialGuess[numComponents])(const PetscReal x[]);
    PetscInt c;

    for (c = 0; c < numComponents; ++c) initialGuess[c] = zero;
    ierr = DMPlexProjectFunction(user.dm, numComponents, initialGuess, INSERT_VALUES, u);CHKERRQ(ierr);
    if (user.showInitial) {ierr = DMVecViewLocal(user.dm, u, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);}
    if (user.debug) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
    ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
    ierr = SNESGetIterationNumber(snes, &its);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Number of SNES iterations = %D\n", its);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(user.dm, user.fem.quad, user.exactFuncs, u, &error);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %.3g\n", error);CHKERRQ(ierr);
    if (user.showSolution) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution\n");CHKERRQ(ierr);
      ierr = VecChop(u, 3.0e-9);CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
  } else {
    PetscReal res = 0.0;

    /* Check discretization error */
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
    ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(user.dm, user.fem.quad, user.exactFuncs, u, &error);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);
    /* Check residual */
    ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
    ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
    ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
    /* Check Jacobian */
    {
      Vec          b;
      MatStructure flag;
      PetscBool    isNull;

      ierr = SNESComputeJacobian(snes, u, &A, &A, &flag);CHKERRQ(ierr);
      ierr = MatNullSpaceTest(nullSpace, J, &isNull);CHKERRQ(ierr);
      if (!isNull) SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_PLIB, "The null space calculated for the system operator is invalid.");
      ierr = VecDuplicate(u, &b);CHKERRQ(ierr);
      ierr = VecSet(r, 0.0);CHKERRQ(ierr);
      ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr);
      ierr = MatMult(A, u, r);CHKERRQ(ierr);
      ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr);
      ierr = VecDestroy(&b);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n");CHKERRQ(ierr);
      ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
      ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
      ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", res);CHKERRQ(ierr);
    }
  }

  if (user.runType == RUN_FULL) {
    PetscViewer viewer;
    Vec         uLocal;

    ierr = PetscViewerCreate(PETSC_COMM_WORLD, &viewer);CHKERRQ(ierr);
    ierr = PetscViewerSetType(viewer, PETSCVIEWERVTK);CHKERRQ(ierr);
    ierr = PetscViewerSetFormat(viewer, PETSC_VIEWER_ASCII_VTK);CHKERRQ(ierr);
    ierr = PetscViewerFileSetName(viewer, "ex62_sol.vtk");CHKERRQ(ierr);

    ierr = DMGetLocalVector(user.dm, &uLocal);CHKERRQ(ierr);
    ierr = DMGlobalToLocalBegin(user.dm, u, INSERT_VALUES, uLocal);CHKERRQ(ierr);
    ierr = DMGlobalToLocalEnd(user.dm, u, INSERT_VALUES, uLocal);CHKERRQ(ierr);

    ierr = PetscObjectReference((PetscObject) user.dm);CHKERRQ(ierr); /* Needed because viewer destroys the DM */
    ierr = PetscObjectReference((PetscObject) uLocal);CHKERRQ(ierr); /* Needed because viewer destroys the Vec */
    ierr = PetscViewerVTKAddField(viewer, (PetscObject) user.dm, DMPlexVTKWriteAll, PETSC_VTK_POINT_FIELD, (PetscObject) uLocal);CHKERRQ(ierr);
    ierr = DMRestoreLocalVector(user.dm, &uLocal);CHKERRQ(ierr);
    ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
  }

  ierr = DestroyQuadrature(&user);CHKERRQ(ierr);
  ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
  if (user.jacobianMF) {
    ierr = VecDestroy(&userJ.u);CHKERRQ(ierr);
  }
  if (A != J) {
    ierr = MatDestroy(&A);CHKERRQ(ierr);
  }
  ierr = MatDestroy(&J);CHKERRQ(ierr);
  ierr = VecDestroy(&u);CHKERRQ(ierr);
  ierr = VecDestroy(&r);CHKERRQ(ierr);
  ierr = SNESDestroy(&snes);CHKERRQ(ierr);
  ierr = DMDestroy(&user.dm);CHKERRQ(ierr);
  ierr = PetscFinalize();
  return 0;
}
예제 #4
0
파일: ex12.c 프로젝트: placasse/petsc
int main(int argc, char **argv)
{
  DM             dm;          /* Problem specification */
  DM             dmAux;       /* Material specification */
  SNES           snes;        /* nonlinear solver */
  Vec            u,r;         /* solution, residual vectors */
  Mat            A,J;         /* Jacobian matrix */
  MatNullSpace   nullSpace;   /* May be necessary for Neumann conditions */
  AppCtx         user;        /* user-defined work context */
  JacActionCtx   userJ;       /* context for Jacobian MF action */
  PetscInt       its;         /* iterations for convergence */
  PetscReal      error = 0.0; /* L_2 error in the solution */
  PetscInt       numComponents;
  PetscErrorCode ierr;

  ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
  ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
  ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
  ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
  ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
  ierr = DMSetApplicationContext(dm, &user);CHKERRQ(ierr);

  user.fem.fe = user.fe;
  ierr = PetscFECreateDefault(dm, user.dim, 1, PETSC_TRUE, NULL, -1, &user.fe[0]);CHKERRQ(ierr);
  if (user.bcType != NEUMANN) {
    user.fem.feBd = NULL; user.feBd[0] = NULL;
  } else {
    user.fem.feBd = user.feBd;
    ierr = PetscFECreateDefault(dm, user.dim-1, 1, PETSC_TRUE, "bd_", -1, &user.feBd[0]);CHKERRQ(ierr);
  }
  ierr = PetscFEGetNumComponents(user.fe[0], &numComponents);CHKERRQ(ierr);
  ierr = PetscMalloc(NUM_FIELDS * sizeof(void (*)(const PetscReal[], PetscScalar *, void *)), &user.exactFuncs);CHKERRQ(ierr);
  ierr = SetupProblem(dm, &user);CHKERRQ(ierr);
  ierr = SetupSection(dm, &user);CHKERRQ(ierr);
  /* Setup Material */
  ierr = DMClone(dm, &dmAux);CHKERRQ(ierr);
  ierr = DMPlexCopyCoordinates(dm, dmAux);CHKERRQ(ierr);
  if (user.variableCoefficient != COEFF_FIELD) {
    user.fem.feAux = NULL; user.feAux[0] = NULL;
  } else {
    PetscQuadrature q;

    user.fem.feAux = user.feAux;
    ierr = PetscFECreateDefault(dmAux, user.dim, 1, PETSC_TRUE, "mat_", -1, &user.feAux[0]);CHKERRQ(ierr);
    ierr = PetscFEGetQuadrature(user.fe[0], &q);CHKERRQ(ierr);
    ierr = PetscFESetQuadrature(user.feAux[0], q);CHKERRQ(ierr);
  }
  ierr = SetupMaterialSection(dmAux, &user);CHKERRQ(ierr);
  ierr = SetupMaterial(dm, dmAux, &user);CHKERRQ(ierr);
  ierr = DMDestroy(&dmAux);CHKERRQ(ierr);

  ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
  ierr = PetscObjectSetName((PetscObject) u, "potential");CHKERRQ(ierr);
  ierr = VecDuplicate(u, &r);CHKERRQ(ierr);

  ierr = DMSetMatType(dm,MATAIJ);CHKERRQ(ierr);
  ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr);
  if (user.jacobianMF) {
    PetscInt M, m, N, n;

    ierr = MatGetSize(J, &M, &N);CHKERRQ(ierr);
    ierr = MatGetLocalSize(J, &m, &n);CHKERRQ(ierr);
    ierr = MatCreate(PETSC_COMM_WORLD, &A);CHKERRQ(ierr);
    ierr = MatSetSizes(A, m, n, M, N);CHKERRQ(ierr);
    ierr = MatSetType(A, MATSHELL);CHKERRQ(ierr);
    ierr = MatSetUp(A);CHKERRQ(ierr);
#if 0
    ierr = MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction);CHKERRQ(ierr);
#endif

    userJ.dm   = dm;
    userJ.J    = J;
    userJ.user = &user;

    ierr = DMCreateLocalVector(dm, &userJ.u);CHKERRQ(ierr);
    ierr = DMPlexProjectFunctionLocal(dm, user.fe, user.exactFuncs, NULL, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);
    ierr = MatShellSetContext(A, &userJ);CHKERRQ(ierr);
  } else {
    A = J;
  }
  if (user.bcType == NEUMANN) {
    ierr = MatNullSpaceCreate(PetscObjectComm((PetscObject) dm), PETSC_TRUE, 0, NULL, &nullSpace);CHKERRQ(ierr);
    ierr = MatSetNullSpace(J, nullSpace);CHKERRQ(ierr);
    if (A != J) {
      ierr = MatSetNullSpace(A, nullSpace);CHKERRQ(ierr);
    }
  }

  ierr = DMSNESSetFunctionLocal(dm,  (PetscErrorCode (*)(DM,Vec,Vec,void*)) DMPlexComputeResidualFEM, &user);CHKERRQ(ierr);
  ierr = DMSNESSetJacobianLocal(dm,  (PetscErrorCode (*)(DM,Vec,Mat,Mat,void*)) DMPlexComputeJacobianFEM, &user);CHKERRQ(ierr);
  ierr = SNESSetJacobian(snes, A, J, NULL, NULL);CHKERRQ(ierr);

  ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);

  ierr = DMPlexProjectFunction(dm, user.fe, user.exactFuncs, NULL, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
  if (user.checkpoint) {
#if defined(PETSC_HAVE_HDF5)
    ierr = PetscViewerHDF5PushGroup(user.checkpoint, "/fields");CHKERRQ(ierr);
    ierr = VecLoad(u, user.checkpoint);CHKERRQ(ierr);
    ierr = PetscViewerHDF5PopGroup(user.checkpoint);CHKERRQ(ierr);
#endif
  }
  ierr = PetscViewerDestroy(&user.checkpoint);CHKERRQ(ierr);
  if (user.showInitial) {
    Vec lv;
    ierr = DMGetLocalVector(dm, &lv);CHKERRQ(ierr);
    ierr = DMGlobalToLocalBegin(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
    ierr = DMGlobalToLocalEnd(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
    ierr = DMPrintLocalVec(dm, "Local function", 1.0e-10, lv);CHKERRQ(ierr);
    ierr = DMRestoreLocalVector(dm, &lv);CHKERRQ(ierr);
  }
  if (user.runType == RUN_FULL) {
    void (*initialGuess[numComponents])(const PetscReal x[], PetscScalar *, void *ctx);
    PetscInt c;

    for (c = 0; c < numComponents; ++c) initialGuess[c] = zero;
    ierr = DMPlexProjectFunction(dm, user.fe, initialGuess, NULL, INSERT_VALUES, u);CHKERRQ(ierr);
    if (user.debug) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
    ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
    ierr = SNESGetIterationNumber(snes, &its);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Number of SNES iterations = %D\n", its);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
    if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
    else                 {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);}
    if (user.showSolution) {
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution\n");CHKERRQ(ierr);
      ierr = VecChop(u, 3.0e-9);CHKERRQ(ierr);
      ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    }
  } else if (user.runType == RUN_PERF) {
    PetscReal res = 0.0;

    ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
    ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
    ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
  } else {
    PetscReal res = 0.0;

    /* Check discretization error */
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
    ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
    if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
    else                 {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);}
    /* Check residual */
    ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
    ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
    ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
    ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
    ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
    /* Check Jacobian */
    {
      Vec          b;

      ierr = SNESComputeJacobian(snes, u, A, A);CHKERRQ(ierr);
      ierr = VecDuplicate(u, &b);CHKERRQ(ierr);
      ierr = VecSet(r, 0.0);CHKERRQ(ierr);
      ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr);
      ierr = MatMult(A, u, r);CHKERRQ(ierr);
      ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr);
      ierr = VecDestroy(&b);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n");CHKERRQ(ierr);
      ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
      ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
      ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
      ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", res);CHKERRQ(ierr);
    }
  }
  ierr = VecViewFromOptions(u, NULL, "-vec_view");CHKERRQ(ierr);

  if (user.bcType == NEUMANN) {
    ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
  }
  if (user.jacobianMF) {
    ierr = VecDestroy(&userJ.u);CHKERRQ(ierr);
  }
  if (A != J) {ierr = MatDestroy(&A);CHKERRQ(ierr);}
  ierr = PetscFEDestroy(&user.fe[0]);CHKERRQ(ierr);
  ierr = PetscFEDestroy(&user.feBd[0]);CHKERRQ(ierr);
  ierr = PetscFEDestroy(&user.feAux[0]);CHKERRQ(ierr);
  ierr = MatDestroy(&J);CHKERRQ(ierr);
  ierr = VecDestroy(&u);CHKERRQ(ierr);
  ierr = VecDestroy(&r);CHKERRQ(ierr);
  ierr = SNESDestroy(&snes);CHKERRQ(ierr);
  ierr = DMDestroy(&dm);CHKERRQ(ierr);
  ierr = PetscFree(user.exactFuncs);CHKERRQ(ierr);
  ierr = PetscFinalize();
  return 0;
}