mfem::HypreAME Class Reference

#include <hypre.hpp>

Public Member Functions
	HypreAME (MPI_Comm comm)
	~HypreAME ()
void	SetTol (double tol)
void	SetMaxIter (int max_iter)
void	SetPrintLevel (int logging)
void	SetNumModes (int num_eigs)
void	SetPreconditioner (HypreSolver &precond)
void	SetOperator (HypreParMatrix &A)
void	SetMassMatrix (HypreParMatrix &M)
void	Solve ()
	Solve the eigenproblem. More...
void	GetEigenvalues (Array< double > &eigenvalues)
	Collect the converged eigenvalues. More...
HypreParVector &	GetEigenvector (unsigned int i)
	Extract a single eigenvector. More...
HypreParVector **	StealEigenvectors ()
	Transfer ownership of the converged eigenvectors. More...

Detailed Description

AME eigenvalue solver in hypre

The Auxiliary space Maxwell Eigensolver (AME) is designed to find the lowest eigenmodes of the generalized eigenvalue problem: Curl Curl x = lambda M x where the Curl Curl operator is discretized using Nedelec finite element basis functions. Properties of this discretization are essential to eliminating the large null space of the Curl Curl operator.

This eigensolver relies upon the LOBPCG eigensolver internally. It is also expected that the preconditioner supplied to this method will be the HypreAMS preconditioner defined above.

As with LOBPCG, the operator set in the preconditioner need not be the same as A. This flexibility may be useful in solving eigenproblems which bare a strong resemblance to the Curl Curl problems for which AME is designed.

Unlike LOBPCG, this eigensolver requires that the mass matrix be set. It is possible to circumvent this by passing an identity operator as the mass matrix but it seems unlikely that this would be useful so it is not the default behavior.

Definition at line 981 of file hypre.hpp.

Constructor & Destructor Documentation

mfem::HypreAME::HypreAME

(

MPI_Comm

comm

)

Definition at line 3202 of file hypre.cpp.

mfem::HypreAME::~HypreAME

(

)

Definition at line 3219 of file hypre.cpp.

Member Function Documentation

void mfem::HypreAME::GetEigenvalues

(

Array< double > &

eigenvalues

)

Collect the converged eigenvalues.

Definition at line 3307 of file hypre.cpp.

HypreParVector & mfem::HypreAME::GetEigenvector

(

unsigned int

i

)

Extract a single eigenvector.

Definition at line 3343 of file hypre.cpp.

void mfem::HypreAME::SetMassMatrix

(

HypreParMatrix &

M

)

Definition at line 3294 of file hypre.cpp.

void mfem::HypreAME::SetMaxIter

(

int

max_iter

)

Definition at line 3258 of file hypre.cpp.

void mfem::HypreAME::SetNumModes

(

int

num_eigs

)

Definition at line 3244 of file hypre.cpp.

void mfem::HypreAME::SetOperator

(

HypreParMatrix &

A

)

Definition at line 3279 of file hypre.cpp.

void mfem::HypreAME::SetPreconditioner

(

HypreSolver &

precond

)

Definition at line 3273 of file hypre.cpp.

void mfem::HypreAME::SetPrintLevel

(

int

logging

)

Definition at line 3264 of file hypre.cpp.

void mfem::HypreAME::SetTol

(

double

tol

)

Definition at line 3252 of file hypre.cpp.

void mfem::HypreAME::Solve

(

)

Solve the eigenproblem.

Definition at line 3301 of file hypre.cpp.

HypreParVector ** mfem::HypreAME::StealEigenvectors

(

)

Transfer ownership of the converged eigenvectors.

Definition at line 3354 of file hypre.cpp.

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The documentation for this class was generated from the following files:

• hypre.hpp
• hypre.cpp