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modelproblems.cpp
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modelproblems.cpp
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#include <mfemopt/pdbilininteg.hpp>
#include <mfemopt/modelproblems.hpp>
#include <mfemopt/mfemextra.hpp>
#include <petscopt/tsopt.h>
namespace mfemopt
{
using namespace mfem;
ModelHeat::MFJac::MFJac(const ModelHeat& h) : heat(h), s(0.0)
{
height = heat.Height();
width = heat.Width();
}
void ModelHeat::MFJac::SetShift(double shift) { s = shift; }
double ModelHeat::MFJac::GetShift() { return s; }
void ModelHeat::MFJac::Mult_Private(const Vector& x,Vector& y,bool trans) const
{
Operator *M,*K;
heat.Mh->Get(M);
heat.Kh->Get(K);
if (!s)
{
if (trans)
{
K->MultTranspose(x,y);
}
else
{
K->Mult(x,y);
}
}
else
{
if (trans)
{
M->MultTranspose(x, y);
}
else
{
M->Mult(x, y);
}
y *= s;
if (trans)
{
K->MultTranspose(x,*heat.rhsvec);
}
else
{
K->Mult(x,*heat.rhsvec);
}
y += *heat.rhsvec;
}
}
void ModelHeat::MFJac::Mult(const Vector& x,Vector& y) const
{
Mult_Private(x,y,false);
}
void ModelHeat::MFJac::MultTranspose(const Vector& x,Vector& y) const
{
Mult_Private(x,y,true);
}
void ModelHeat::Init(ParFiniteElementSpace *_fe, Operator::Type _oid)
{
Mh = NULL;
Kh = NULL;
rhsform = NULL;
rhs = NULL;
vrhs = NULL;
fes = _fe;
ParFiniteElementSpaceGetRangeAndDerivType(*fes,&fe_range,&fe_deriv);
oid = _oid;
adjgf = new ParGridFunction(fes);
stgf = new ParGridFunction(fes);
kpd = new PDBilinearForm(fes);
mpd = new PDBilinearForm(fes);
rhsvec = new PetscParVector(fes);
pfactory = NULL;
}
PetscPreconditionerFactory* ModelHeat::GetPreconditionerFactory()
{
if (!pfactory)
{
pfactory = (*this).NewPreconditionerFactory();
}
return pfactory;
}
PetscPreconditionerFactory* ModelHeat::NewPreconditionerFactory()
{
return new PreconditionerFactory(*this,"heat model preconditioner factory");
}
void ModelHeat::InitForms(Coefficient* mu, MatrixCoefficient* sigma)
{
MFEM_VERIFY(fes->GetVDim() == 1,"Unsupported VDIM " << fes->GetVDim());
BilinearFormIntegrator *tm = NULL;
BilinearFormIntegrator *ts = NULL;
if (fe_range == FiniteElement::SCALAR)
{
tm = new MassIntegrator(*mu);
ts = new DiffusionIntegrator(*sigma);
}
else
{
MFEM_VERIFY(fe_deriv != FiniteElement::DIV,"Unsupported Matrix coefficient for DivDivIntegrator ");
tm = new VectorFEMassIntegrator(*mu);
ts = new CurlCurlIntegrator(*sigma);
}
mpd->AddDomainIntegrator(tm);
kpd->AddDomainIntegrator(ts);
}
void ModelHeat::InitForms(PDCoefficient* mu, MatrixCoefficient* sigma)
{
MFEM_VERIFY(fes->GetVDim() == 1,"Unsupported VDIM " << fes->GetVDim());
PDBilinearFormIntegrator *tm = NULL;
BilinearFormIntegrator *ts = NULL;
if (fe_range == FiniteElement::SCALAR)
{
tm = new PDMassIntegrator(*mu);
ts = new DiffusionIntegrator(*sigma);
}
else
{
MFEM_VERIFY(fe_deriv != FiniteElement::DIV,"Unsupported Matrix coefficient for DivDivIntegrator");
tm = new PDVectorFEMassIntegrator(*mu);
ts = new CurlCurlIntegrator(*sigma);
}
mpd->AddDomainIntegrator(tm);
kpd->AddDomainIntegrator(ts);
}
void ModelHeat::InitForms(Coefficient* mu, Coefficient* sigma)
{
MFEM_VERIFY(fes->GetVDim() == 1,"Unsupported VDIM " << fes->GetVDim());
BilinearFormIntegrator *tm = NULL;
BilinearFormIntegrator *ts = NULL;
if (fe_range == FiniteElement::SCALAR)
{
tm = new MassIntegrator(*mu);
ts = new DiffusionIntegrator(*sigma);
}
else
{
tm = new VectorFEMassIntegrator(*mu);
if (fe_deriv == FiniteElement::DIV)
{
ts = new DivDivIntegrator(*sigma);
}
else
{
ts = new CurlCurlIntegrator(*sigma);
}
}
mpd->AddDomainIntegrator(tm);
kpd->AddDomainIntegrator(ts);
}
void ModelHeat::InitForms(PDCoefficient* mu, Coefficient* sigma)
{
MFEM_VERIFY(fes->GetVDim() == 1,"Unsupported VDIM " << fes->GetVDim());
PDBilinearFormIntegrator *tm = NULL;
BilinearFormIntegrator *ts = NULL;
if (fe_range == FiniteElement::SCALAR)
{
tm = new PDMassIntegrator(*mu);
ts = new DiffusionIntegrator(*sigma);
}
else
{
tm = new PDVectorFEMassIntegrator(*mu);
if (fe_deriv == FiniteElement::DIV)
{
ts = new DivDivIntegrator(*sigma);
}
else
{
ts = new CurlCurlIntegrator(*sigma);
}
}
mpd->AddDomainIntegrator(tm);
kpd->AddDomainIntegrator(ts);
}
ModelHeat::ModelHeat(Coefficient* mu, MatrixCoefficient* sigma, ParFiniteElementSpace *_fe, Operator::Type _oid)
: TimeDependentOperator(_fe->GetTrueVSize(), 0.0, TimeDependentOperator::HOMOGENEOUS), PDOperator()
{
Init(_fe,_oid);
InitForms(mu,sigma);
UpdateMass();
UpdateStiffness();
}
ModelHeat::ModelHeat(PDCoefficient* mu, MatrixCoefficient* sigma, ParFiniteElementSpace *_fe, Operator::Type _oid)
: TimeDependentOperator(_fe->GetTrueVSize(), 0.0, TimeDependentOperator::HOMOGENEOUS), PDOperator()
{
Init(_fe,_oid);
InitForms(mu,sigma);
UpdateMass();
UpdateStiffness();
}
ModelHeat::ModelHeat(Coefficient* mu, Coefficient* sigma, ParFiniteElementSpace *_fe, Operator::Type _oid)
: TimeDependentOperator(_fe->GetTrueVSize(), 0.0, TimeDependentOperator::HOMOGENEOUS), PDOperator()
{
Init(_fe,_oid);
InitForms(mu,sigma);
UpdateMass();
UpdateStiffness();
}
ModelHeat::ModelHeat(PDCoefficient* mu, Coefficient* sigma, ParFiniteElementSpace *_fe, Operator::Type _oid)
: TimeDependentOperator(_fe->GetTrueVSize(), 0.0, TimeDependentOperator::HOMOGENEOUS), PDOperator()
{
Init(_fe,_oid);
InitForms(mu,sigma);
UpdateMass();
UpdateStiffness();
}
void ModelHeat::UpdateStiffness()
{
kpd->Update();
kpd->Assemble(0);
kpd->Finalize(0);
if (!Kh) Kh = new OperatorHandle(oid);
kpd->ParallelAssemble(*Kh);
}
void ModelHeat::UpdateMass()
{
mpd->Update();
mpd->Assemble(0);
mpd->Finalize(0);
if (!Mh) Mh = new OperatorHandle(oid);
mpd->ParallelAssemble(*Mh);
}
int ModelHeat::GetStateSize()
{
return fes->GetTrueVSize();
}
int ModelHeat::GetParameterSize()
{
return mpd->GetParameterSize() + kpd->GetParameterSize();
}
void ModelHeat::SetUpFromParameters(const Vector& p)
{
MFEM_VERIFY(p.Size() >= GetParameterSize(),"Invalid Vector size " << p.Size() << ", should be (at least) " << GetParameterSize());
/* XXX multiple coeffs */
mpd->UpdateParameter(p);
UpdateMass();
UpdateStiffness();
}
void ModelHeat::Mult(const Vector& tdstate, const Vector& state, const Vector& m, double t, Vector& f)
{
SetUpFromParameters(m);
SetTime(t);
ImplicitMult(state,tdstate,f);
}
/* Callback used by the adjoint solver */
void ModelHeat::ComputeGradientAdjoint(const Vector& adj, const Vector& tdstate, const Vector& state, const Vector& m, Vector& g)
{
MFEM_VERIFY(m.Size() >= GetParameterSize(),"Invalid Vector size " << m.Size() << ", should be (at least) " << GetParameterSize());
MFEM_VERIFY(g.Size() >= GetParameterSize(),"Invalid Vector size " << g.Size() << ", should be (at least) " << GetParameterSize());
/* XXX multiple coeffs */
mpd->ComputeGradientAdjoint(adj,tdstate,m,g);
}
/* Callback used by the tangent linear model solver */
void ModelHeat::ComputeGradient(const Vector& tdstate, const Vector& state, const Vector& m, const Vector &pert, Vector& o)
{
MFEM_VERIFY(m.Size() >= GetParameterSize(),"Invalid Vector size " << m.Size() << ", should be (at least) " << GetParameterSize());
MFEM_VERIFY(pert.Size() >= GetParameterSize(),"Invalid Vector size " << pert.Size() << ", should be (at least) " << GetParameterSize());
MFEM_VERIFY(o.Size() == tdstate.Size(),"Invalid Vector size " << o.Size() << ", should be " << tdstate.Size());
/* XXX multiple coeffs */
mpd->ComputeGradient(tdstate,m,pert,o);
}
/* Callback used within the Hessian matrix-vector routines of the TS object */
void ModelHeat::ComputeHessian(int A,int B,const Vector& tdstate,const Vector& st,const Vector& m,
const Vector& l,const Vector& x,Vector& y)
{
MFEM_VERIFY(m.Size() >= GetParameterSize(),"Invalid Vector size " << m.Size() << ", should be (at least) " << GetParameterSize());
/* XXX multiple coeffs */
if (A == 1 && B == 2) /* L^T \otimes I_N F_XtM x */
{
MFEM_VERIFY(y.Size() == tdstate.Size(),"Invalid Vector size " << y.Size() << ", should be " << tdstate.Size());
MFEM_VERIFY(x.Size() >= GetParameterSize(),"Invalid Vector size " << x.Size() << ", should be (at least) " << GetParameterSize());
mpd->ComputeHessian_XM(l,m,x,y);
}
else if (A == 2 && B == 1) /* L^T \otimes I_P F_MXt x */
{
MFEM_VERIFY(x.Size() == tdstate.Size(),"Invalid Vector size " << x.Size() << ", should be " << tdstate.Size());
MFEM_VERIFY(y.Size() >= GetParameterSize(),"Invalid Vector size " << y.Size() << ", should be (at least) " << GetParameterSize());
mpd->ComputeHessian_MX(l,x,m,y);
}
else
{
MFEM_VERIFY(0,"ModelHeat::ComputeHessian not implemented for " << A << ", " << B << " pair");
}
}
void ModelHeat::SetRHS(Coefficient* _rhs)
{
rhs = _rhs;
vrhs = NULL;
delete rhsform;
rhsform = NULL;
if (rhs)
{
rhsform = new ParLinearForm(fes);
rhsform->AddDomainIntegrator(new DomainLFIntegrator(*rhs));
}
}
void ModelHeat::SetRHS(VectorCoefficient* _vrhs)
{
rhs = NULL;
vrhs = _vrhs;
delete rhsform;
rhsform = NULL;
if (vrhs)
{
rhsform = new ParLinearForm(fes);
if (fe_range == FiniteElement::SCALAR)
{
rhsform->AddDomainIntegrator(new VectorDomainLFIntegrator(*vrhs));
}
else
{
rhsform->AddDomainIntegrator(new VectorFEDomainLFIntegrator(*vrhs));
}
}
}
/* Implements M*Xdot + K*X - RHS */
void ModelHeat::ImplicitMult(const Vector &x, const Vector &xdot, Vector &y) const
{
/* Compute forcing term */
if (rhs) rhs->SetTime(this->GetTime());
if (vrhs) vrhs->SetTime(this->GetTime());
if (rhsform)
{
rhsform->Assemble();
rhsform->ParallelAssemble(*rhsvec);
}
else
{
*rhsvec = 0.0;
}
/* Get mass and stiffness operators */
Operator *M,*K;
Mh->Get(M);
Kh->Get(K);
/* Compute residual */
M->Mult(xdot, y);
y -= *rhsvec;
K->Mult(x, *rhsvec);
y += *rhsvec;
}
/* PETSc expects the Jacobian of the ODE as shift * F_xdot + F_x */
Operator& ModelHeat::GetImplicitGradient(const Vector &x, const Vector &xdot, double shift) const
{
MFJac* Jacobian = NULL;
std::map<double,MFJac*>::iterator it = Jacobians.find(shift);
if (it == Jacobians.end())
{
Jacobian = new MFJac(*this);
Jacobian->SetShift(shift);
Jacobians.insert(std::pair<double,MFJac*>(shift,Jacobian));
}
else
{
Jacobian = it->second;
}
return *Jacobian;
}
void ModelHeat::DeleteJacobians()
{
std::map<double,MFJac*>::iterator it;
for (it=Jacobians.begin(); it!=Jacobians.end(); ++it)
{
delete it->second;
}
}
ModelHeat::~ModelHeat()
{
delete Mh;
delete Kh;
DeleteJacobians();
delete rhsform;
delete rhsvec;
delete mpd;
delete kpd;
delete adjgf;
delete stgf;
delete pfactory;
}
#include <mfemopt/private/mfemoptpetscmacros.h>
#if defined(PETSC_HAVE_HYPRE)
#include "petscmathypre.h"
#endif
Solver* ModelHeat::PreconditionerFactory::NewPreconditioner(const OperatorHandle& oh)
{
Solver *solver = NULL;
PetscErrorCode ierr;
if (oh.Type() == Operator::PETSC_MATSHELL)
{
PetscParMatrix *oJ;
oh.Get(oJ);
Operator* ctx;
ierr = MatShellGetContext(*oJ,&ctx); PCHKERRQ(*oJ,ierr);
ModelHeat::MFJac *J = dynamic_cast<ModelHeat::MFJac *>(ctx);
MFEM_VERIFY(J,"Not a ModelHeat::MFJac operator");
double s = J->GetShift();
Operator *M,*K;
pde.Mh->Get(M);
pde.Kh->Get(K);
HypreParMatrix *hK = dynamic_cast<HypreParMatrix *>(K);
HypreParMatrix *hM = dynamic_cast<HypreParMatrix *>(M);
PetscParMatrix *pK = dynamic_cast<PetscParMatrix *>(K);
PetscParMatrix *pM = dynamic_cast<PetscParMatrix *>(M);
// this matrix will be owned by the solver
HypreParMatrix *hA = NULL;
if (hK && hM) // When using HypreParMatrix, take advantage of the solvers
{
if (s != 0.0) hA = Add(s,*hM,1.0,*hK);
else hA = new HypreParMatrix(*hM);
if (pde.bc)
{
HypreParVector X(*hA,false);
HypreParVector B(*hA,true);
X = 0.0;
hA->EliminateRowsCols(pde.bc->GetTDofs(),X,B);
}
if (pde.fe_deriv == FiniteElement::DIV)
{
HypreADS *t = new HypreADS(*hA,pde.fes);
t->SetPrintLevel(0);
solver = new SymmetricSolver(t,true,hA,true);
}
else if (pde.fe_deriv == FiniteElement::CURL)
{
HypreAMS *t = new HypreAMS(*hA,pde.fes);
t->SetPrintLevel(0);
solver = new SymmetricSolver(t,true,hA,true);
}
else
{
HypreBoomerAMG *t = new HypreBoomerAMG(*hA);
t->SetPrintLevel(0);
solver = new SymmetricSolver(t,true,hA,true);
}
}
else if (pK && pM) // When using PetscParMatrix, either use BDDC (PETSC_MATIS), or test command line preconditioners (all the other types)
{
PetscBool ismatis;
Mat pJ;
if (s != 0.0)
{
ierr = MatDuplicate(*pK,MAT_COPY_VALUES,&pJ); PCHKERRQ(*pK,ierr);
ierr = MatAXPY(pJ,s,*pM,SAME_NONZERO_PATTERN); PCHKERRQ(*pK,ierr);
}
else
{
ierr = MatDuplicate(*pM,MAT_COPY_VALUES,&pJ); PCHKERRQ(*pK,ierr);
}
if (s >= 0.0) { ierr = MatSetOption(pJ,MAT_SPD,PETSC_TRUE); PCHKERRQ(*pK,ierr); }
PetscParMatrix ppJ(pJ,false); // Do not take reference, since the Mat will be owned by the preconditioner
if (pde.bc)
{
PetscParVector dummy(PetscObjectComm((PetscObject)pJ),0);
ppJ.EliminateRowsCols(pde.bc->GetTDofs(),dummy,dummy);
}
ierr = PetscObjectTypeCompare((PetscObject)pJ,MATIS,&ismatis); PCHKERRQ(*pK,ierr);
if (ismatis)
{
PetscBDDCSolverParams opts;
opts.SetSpace(pde.fes);
if (pde.bc)
{
Array<int>& ess = pde.bc->GetTDofs();
opts.SetEssBdrDofs(&ess);
}
solver = new PetscBDDCSolver(ppJ,opts,"heat_");
}
else
{
solver = new PetscPreconditioner(ppJ,"heat_");
}
}
else
{
std::ostringstream errstr;
errstr << "Invalid combination: K ";
errstr << (hK ? "HypreParMatrix" : (pK ? "PetscParMatrix" : "not recognized"));
errstr << ", M ";
errstr << (hM ? "HypreParMatrix" : (pM ? "PetscParMatrix" : "not recognized"));
mfem_error(errstr.str().c_str());
}
}
else
{
std::ostringstream errstr;
errstr << "Unhandled operator type ";
errstr << oh.Type();
errstr << ". Run using PetscODESolver::SetJacobianType(Operator::ANY_TYPE);";
errstr << " and using your favourite OperatorType in the ModelHeat constructor.";
mfem_error(errstr.str().c_str());
}
return solver;
}
}