PetscErrorCode SetupElement(DM dm, AppCtx *user)
{
const PetscInt dim = user->dim, numFields = 2;
const char *prefix[2] = {"vel_", "pres_"};
PetscInt qorder = 0, f;
PetscErrorCode ierr;
PetscFunctionBegin;
for (f = 0; f < numFields; ++f) {
PetscFE fem;
DM K;
PetscSpace P;
PetscDualSpace Q;
PetscInt order;
/* Create space */
ierr = PetscSpaceCreate(PetscObjectComm((PetscObject) dm), &P);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject) P, prefix[f]);CHKERRQ(ierr);
ierr = PetscSpaceSetFromOptions(P);CHKERRQ(ierr);
ierr = PetscSpacePolynomialSetNumVariables(P, dim);CHKERRQ(ierr);
ierr = PetscSpaceSetUp(P);CHKERRQ(ierr);
ierr = PetscSpaceGetOrder(P, &order);CHKERRQ(ierr);
qorder = PetscMax(qorder, order);
/* Create dual space */
ierr = PetscDualSpaceCreate(PetscObjectComm((PetscObject) dm), &Q);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject) Q, prefix[f]);CHKERRQ(ierr);
ierr = PetscDualSpaceCreateReferenceCell(Q, dim, PETSC_TRUE, &K);CHKERRQ(ierr);
ierr = PetscDualSpaceSetDM(Q, K);CHKERRQ(ierr);
ierr = DMDestroy(&K);CHKERRQ(ierr);
ierr = PetscDualSpaceSetOrder(Q, order);CHKERRQ(ierr);
ierr = PetscDualSpaceSetFromOptions(Q);CHKERRQ(ierr);
ierr = PetscDualSpaceSetUp(Q);CHKERRQ(ierr);
/* Create element */
ierr = PetscFECreate(PetscObjectComm((PetscObject) dm), &fem);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject) fem, prefix[f]);CHKERRQ(ierr);
ierr = PetscFESetFromOptions(fem);CHKERRQ(ierr);
ierr = PetscFESetBasisSpace(fem, P);CHKERRQ(ierr);
ierr = PetscFESetDualSpace(fem, Q);CHKERRQ(ierr);
ierr = PetscFESetNumComponents(fem, f ? 1 : dim);CHKERRQ(ierr);
ierr = PetscSpaceDestroy(&P);CHKERRQ(ierr);
ierr = PetscDualSpaceDestroy(&Q);CHKERRQ(ierr);
user->fe[f] = fem;
}
for (f = 0; f < numFields; ++f) {
PetscQuadrature q;
/* Create quadrature */
ierr = PetscDTGaussJacobiQuadrature(dim, qorder, -1.0, 1.0, &q);CHKERRQ(ierr);
ierr = PetscFESetQuadrature(user->fe[f], q);CHKERRQ(ierr);
}
user->fem.fe = user->fe;
user->fem.feAux = NULL;
PetscFunctionReturn(0);
}
PetscErrorCode SetupElement(DM dm, AppCtx *user)
{
PetscFE fem;
DM K;
PetscSpace P;
PetscDualSpace Q;
PetscReal *B, *D;
PetscQuadrature q;
const PetscInt dim = user->dim;
PetscInt order, numBasisFunc, numBasisComp;
PetscErrorCode ierr;
PetscFunctionBegin;
/* Create space */
ierr = PetscSpaceCreate(PetscObjectComm((PetscObject) dm), &P);CHKERRQ(ierr);
ierr = PetscSpaceSetFromOptions(P);CHKERRQ(ierr);
ierr = PetscSpacePolynomialSetNumVariables(P, dim);CHKERRQ(ierr);
ierr = PetscSpaceSetUp(P);CHKERRQ(ierr);
ierr = PetscSpaceGetOrder(P, &order);CHKERRQ(ierr);
/* Create dual space */
ierr = PetscDualSpaceCreate(PetscObjectComm((PetscObject) dm), &Q);CHKERRQ(ierr);
ierr = PetscDualSpaceCreateReferenceCell(Q, dim, user->simplex, &K);CHKERRQ(ierr);
ierr = PetscDualSpaceSetDM(Q, K);CHKERRQ(ierr);
ierr = DMDestroy(&K);CHKERRQ(ierr);
ierr = PetscDualSpaceSetOrder(Q, order);CHKERRQ(ierr);
ierr = PetscDualSpaceSetFromOptions(Q);CHKERRQ(ierr);
ierr = PetscDualSpaceSetUp(Q);CHKERRQ(ierr);
/* Create quadrature */
ierr = PetscDTGaussJacobiQuadrature(dim, PetscMax(user->qorder, order), -1.0, 1.0, &q);CHKERRQ(ierr);
/* Create element */
ierr = PetscFECreate(PetscObjectComm((PetscObject) dm), &fem);CHKERRQ(ierr);
ierr = PetscFESetBasisSpace(fem, P);CHKERRQ(ierr);
ierr = PetscFESetDualSpace(fem, Q);CHKERRQ(ierr);
ierr = PetscFESetNumComponents(fem, user->numComponents);CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fem, q);CHKERRQ(ierr);
ierr = PetscSpaceDestroy(&P);CHKERRQ(ierr);
ierr = PetscDualSpaceDestroy(&Q);CHKERRQ(ierr);
ierr = PetscFEGetDimension(fem, &numBasisFunc);CHKERRQ(ierr);
ierr = PetscFEGetNumComponents(fem, &numBasisComp);CHKERRQ(ierr);
ierr = PetscFEGetDefaultTabulation(fem, &B, &D, NULL);CHKERRQ(ierr);
user->fe = fem;
PetscFunctionReturn(0);
}