void SeparableScatterScalarResponse<PHAL::AlbanyTraits::Jacobian, Traits>::
postEvaluate(typename Traits::PostEvalData workset)
{
// Here we scatter the *global* response
Teuchos::RCP<Epetra_Vector> g = workset.g;
if (g != Teuchos::null)
for (std::size_t res = 0; res < this->global_response.size(); res++) {
(*g)[res] = this->global_response[res].val();
}
// Here we scatter the *global* response derivatives
Teuchos::RCP<Epetra_MultiVector> dgdx = workset.dgdx;
Teuchos::RCP<Epetra_MultiVector> overlapped_dgdx = workset.overlapped_dgdx;
if (dgdx != Teuchos::null)
dgdx->Export(*overlapped_dgdx, *workset.x_importer, Add);
Teuchos::RCP<Epetra_MultiVector> dgdxdot = workset.dgdxdot;
Teuchos::RCP<Epetra_MultiVector> overlapped_dgdxdot =
workset.overlapped_dgdxdot;
if (dgdxdot != Teuchos::null)
dgdxdot->Export(*overlapped_dgdxdot, *workset.x_importer, Add);
}
void SeparableScatterScalarResponse<PHAL::AlbanyTraits::DistParamDeriv, Traits>::
postEvaluate(typename Traits::PostEvalData workset)
{
#if defined(ALBANY_EPETRA)
// Here we scatter the *global* response and its derivatives
Teuchos::RCP<Epetra_Vector> g = workset.g;
Teuchos::RCP<Epetra_MultiVector> dgdp = workset.dgdp;
Teuchos::RCP<Epetra_MultiVector> overlapped_dgdp = workset.overlapped_dgdp;
if (g != Teuchos::null)
for (std::size_t res = 0; res < this->global_response.size(); res++) {
(*g)[res] = this->global_response[res].val();
}
if (dgdp != Teuchos::null) {
Epetra_Export exporter(overlapped_dgdp->Map(), dgdp->Map());
dgdp->Export(*overlapped_dgdp, exporter, Add);
}
#endif
}
// ***********************************************************
int DG_Prob::Eigenvectors(const double Dt,
const Epetra_Map & Map)
{
printf("Entrou em Eigenvectors\n");
#ifdef HAVE_MPI
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
Epetra_SerialComm Comm;
#endif
//MPI::COMM_WORLD.Barrier();
Comm.Barrier();
Teuchos::RCP<Epetra_FECrsMatrix> M = Teuchos::rcp(new Epetra_FECrsMatrix(Copy, Map,0));//&NNz[0]);
Teuchos::RCP<Epetra_FEVector> RHS = Teuchos::rcp(new Epetra_FEVector(Map,1));
DG_MatrizVetor_Epetra(Dt,M,RHS);
Teuchos::RCP<Epetra_CrsMatrix> A = Teuchos::rcp(new Epetra_CrsMatrix(Copy, Map,0
/* &NNz[0]*/) );
Epetra_Export Exporter(Map,Map);
A->PutScalar(0.0);
A->Export(*(M.ptr()),Exporter,Add);
A->FillComplete();
using std::cout;
// int nx = 5;
bool boolret;
int MyPID = Comm.MyPID();
bool verbose = true;
bool debug = false;
std::string which("LR");
Teuchos::CommandLineProcessor cmdp(false,true);
cmdp.setOption("verbose","quiet",&verbose,"Print messages and results.");
cmdp.setOption("debug","nodebug",&debug,"Print debugging information.");
cmdp.setOption("sort",&which,"Targetted eigenvalues (SM,LM,SR,LR,SI,or LI).");
typedef double ScalarType;
typedef Teuchos::ScalarTraits<ScalarType> SCT;
typedef SCT::magnitudeType MagnitudeType;
typedef Epetra_MultiVector MV;
typedef Epetra_Operator OP;
typedef Anasazi::MultiVecTraits<ScalarType,MV> MVT;
typedef Anasazi::OperatorTraits<ScalarType,MV,OP> OPT;
// double rho = 2*nx+1;
// Compute coefficients for discrete convection-diffution operator
// const double one = 1.0;
// int NumEntries, info;
//************************************
// Start the block Arnoldi iteration
//***********************************
//
// Variables used for the Block Krylov Schur Method
//
int nev = 10;
int blockSize = 1;
int numBlocks = 20;
int maxRestarts = 500;
//int stepSize = 5;
double tol = 1e-8;
// Create a sort manager to pass into the block Krylov-Schur solver manager
// --> Make sure the reference-counted pointer is of type Anasazi::SortManager<>
// --> The block Krylov-Schur solver manager uses Anasazi::BasicSort<> by default,
// so you can also pass in the parameter "Which", instead of a sort manager.
Teuchos::RCP<Anasazi::SortManager<MagnitudeType> > MySort =
Teuchos::rcp( new Anasazi::BasicSort<MagnitudeType>( which ) );
// Set verbosity level
int verbosity = Anasazi::Errors + Anasazi::Warnings;
if (verbose) {
verbosity += Anasazi::FinalSummary + Anasazi::TimingDetails;
}
if (debug) {
verbosity += Anasazi::Debug;
}
//
// Create parameter list to pass into solver manager
//
Teuchos::ParameterList MyPL;
MyPL.set( "Verbosity", verbosity );
MyPL.set( "Sort Manager", MySort );
//MyPL.set( "Which", which );
MyPL.set( "Block Size", blockSize );
MyPL.set( "Num Blocks", numBlocks );
MyPL.set( "Maximum Restarts", maxRestarts );
//MyPL.set( "Step Size", stepSize );
MyPL.set( "Convergence Tolerance", tol );
// Create an Epetra_MultiVector for an initial vector to start the solver.
// Note: This needs to have the same number of columns as the blocksize.
Teuchos::RCP<Epetra_MultiVector> ivec = Teuchos::rcp( new Epetra_MultiVector(Map, blockSize) );
ivec->Random();
// Create the eigenproblem.
Teuchos::RCP<Anasazi::BasicEigenproblem<double, MV, OP> > MyProblem =
Teuchos::rcp( new Anasazi::BasicEigenproblem<double, MV, OP>(A, ivec) );
// Inform the eigenproblem that the operator A is symmetric
//MyProblem->setHermitian(rho==0.0);
// Set the number of eigenvalues requested
MyProblem->setNEV( nev );
// Inform the eigenproblem that you are finishing passing it information
boolret = MyProblem->setProblem();
if (boolret != true) {
if (verbose && MyPID == 0) {
cout << "Anasazi::BasicEigenproblem::setProblem() returned with error." << endl;
}
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
return -1;
}
// Initialize the Block Arnoldi solver
Anasazi::BlockKrylovSchurSolMgr<double, MV, OP> MySolverMgr(MyProblem, MyPL);
// Solve the problem to the specified tolerances or length
Anasazi::ReturnType returnCode = MySolverMgr.solve();
if (returnCode != Anasazi::Converged && MyPID==0 && verbose) {
cout << "Anasazi::EigensolverMgr::solve() returned unconverged." << endl;
}
// Get the Ritz values from the eigensolver
std::vector<Anasazi::Value<double> > ritzValues = MySolverMgr.getRitzValues();
// Output computed eigenvalues and their direct residuals
if (verbose && MyPID==0) {
int numritz = (int)ritzValues.size();
cout.setf(std::ios_base::right, std::ios_base::adjustfield);
cout<<endl<< "Computed Ritz Values"<< endl;
if (MyProblem->isHermitian()) {
cout<< std::setw(16) << "Real Part"
<< endl;
cout<<"-----------------------------------------------------------"<<endl;
for (int i=0; i<numritz; i++) {
cout<< std::setw(16) << ritzValues[i].realpart
<< endl;
}
cout<<"-----------------------------------------------------------"<<endl;
}
else {
cout<< std::setw(16) << "Real Part"
<< std::setw(16) << "Imag Part"
<< endl;
cout<<"-----------------------------------------------------------"<<endl;
for (int i=0; i<numritz; i++) {
cout<< std::setw(16) << ritzValues[i].realpart
<< std::setw(16) << ritzValues[i].imagpart
<< endl;
}
cout<<"-----------------------------------------------------------"<<endl;
}
}
// Get the eigenvalues and eigenvectors from the eigenproblem
Anasazi::Eigensolution<ScalarType,MV> sol = MyProblem->getSolution();
std::vector<Anasazi::Value<ScalarType> > evals = sol.Evals;
Teuchos::RCP<MV> evecs = sol.Evecs;
std::vector<int> index = sol.index;
int numev = sol.numVecs;
if (numev > 0) {
// Compute residuals.
Teuchos::LAPACK<int,double> lapack;
std::vector<double> normA(numev);
if (MyProblem->isHermitian()) {
// Get storage
Epetra_MultiVector Aevecs(Map,numev);
Teuchos::SerialDenseMatrix<int,double> B(numev,numev);
B.putScalar(0.0);
for (int i=0; i<numev; i++) {B(i,i) = evals[i].realpart;}
// Compute A*evecs
OPT::Apply( *A, *evecs, Aevecs );
// Compute A*evecs - lambda*evecs and its norm
MVT::MvTimesMatAddMv( -1.0, *evecs, B, 1.0, Aevecs );
MVT::MvNorm( Aevecs, normA );
// Scale the norms by the eigenvalue
for (int i=0; i<numev; i++) {
normA[i] /= Teuchos::ScalarTraits<double>::magnitude( evals[i].realpart );
}
} else {
// The problem is non-Hermitian.
int i=0;
std::vector<int> curind(1);
std::vector<double> resnorm(1), tempnrm(1);
Teuchos::RCP<MV> tempAevec;
Teuchos::RCP<const MV> evecr, eveci;
Epetra_MultiVector Aevec(Map,numev);
// Compute A*evecs
OPT::Apply( *A, *evecs, Aevec );
Teuchos::SerialDenseMatrix<int,double> Breal(1,1), Bimag(1,1);
while (i<numev) {
if (index[i]==0) {
// Get a view of the current eigenvector (evecr)
curind[0] = i;
evecr = MVT::CloneView( *evecs, curind );
// Get a copy of A*evecr
tempAevec = MVT::CloneCopy( Aevec, curind );
// Compute A*evecr - lambda*evecr
Breal(0,0) = evals[i].realpart;
MVT::MvTimesMatAddMv( -1.0, *evecr, Breal, 1.0, *tempAevec );
// Compute the norm of the residual and increment counter
MVT::MvNorm( *tempAevec, resnorm );
normA[i] = resnorm[0]/Teuchos::ScalarTraits<MagnitudeType>::magnitude( evals[i].realpart );
i++;
} else {
// Get a view of the real part of the eigenvector (evecr)
curind[0] = i;
evecr = MVT::CloneView( *evecs, curind );
// Get a copy of A*evecr
tempAevec = MVT::CloneCopy( Aevec, curind );
// Get a view of the imaginary part of the eigenvector (eveci)
curind[0] = i+1;
eveci = MVT::CloneView( *evecs, curind );
// Set the eigenvalue into Breal and Bimag
Breal(0,0) = evals[i].realpart;
Bimag(0,0) = evals[i].imagpart;
// Compute A*evecr - evecr*lambdar + eveci*lambdai
MVT::MvTimesMatAddMv( -1.0, *evecr, Breal, 1.0, *tempAevec );
MVT::MvTimesMatAddMv( 1.0, *eveci, Bimag, 1.0, *tempAevec );
MVT::MvNorm( *tempAevec, tempnrm );
// Get a copy of A*eveci
tempAevec = MVT::CloneCopy( Aevec, curind );
// Compute A*eveci - eveci*lambdar - evecr*lambdai
MVT::MvTimesMatAddMv( -1.0, *evecr, Bimag, 1.0, *tempAevec );
MVT::MvTimesMatAddMv( -1.0, *eveci, Breal, 1.0, *tempAevec );
MVT::MvNorm( *tempAevec, resnorm );
// Compute the norms and scale by magnitude of eigenvalue
normA[i] = lapack.LAPY2( tempnrm[i], resnorm[i] ) /
lapack.LAPY2( evals[i].realpart, evals[i].imagpart );
normA[i+1] = normA[i];
i=i+2;
}
}
}
// Output computed eigenvalues and their direct residuals
if (verbose && MyPID==0) {
cout.setf(std::ios_base::right, std::ios_base::adjustfield);
cout<<endl<< "Actual Residuals"<<endl;
if (MyProblem->isHermitian()) {
cout<< std::setw(16) << "Real Part"
<< std::setw(20) << "Direct Residual"<< endl;
cout<<"-----------------------------------------------------------"<<endl;
for (int i=0; i<numev; i++) {
cout<< std::setw(16) << evals[i].realpart
<< std::setw(20) << normA[i] << endl;
}
cout<<"-----------------------------------------------------------"<<endl;
}
else {
cout<< std::setw(16) << "Real Part"
<< std::setw(16) << "Imag Part"
<< std::setw(20) << "Direct Residual"<< endl;
cout<<"-----------------------------------------------------------"<<endl;
for (int i=0; i<numev; i++) {
cout<< std::setw(16) << evals[i].realpart
<< std::setw(16) << evals[i].imagpart
<< std::setw(20) << normA[i] << endl;
}
cout<<"-----------------------------------------------------------"<<endl;
}
}
}
#ifdef EPETRA_MPI
MPI_Finalize();
#endif
return 0;
}
