mfem::Eliminator Class Reference

Perform elimination of a single constraint. More...

#include <constraints.hpp>

Public Member Functions
	Eliminator (const SparseMatrix &B, const Array< int > &lagrange_dofs, const Array< int > &primary_tdofs, const Array< int > &secondary_tdofs)
const Array< int > &	LagrangeDofs () const
const Array< int > &	PrimaryDofs () const
const Array< int > &	SecondaryDofs () const
void	Eliminate (const Vector &in, Vector &out) const
void	EliminateTranspose (const Vector &in, Vector &out) const
	Transpose of Eliminate(), applies $-B_p^T{B}_s^{-T}$.
void	LagrangeSecondary (const Vector &in, Vector &out) const
	Maps Lagrange multipliers to secondary dofs, applies $B_s^{-1}$.
void	LagrangeSecondaryTranspose (const Vector &in, Vector &out) const
	Transpose of LagrangeSecondary()
void	ExplicitAssembly (DenseMatrix &mat) const
	Return $-B_s^{-1}{B}_p$ explicitly assembled in mat.

Detailed Description

Perform elimination of a single constraint.

See EliminationProjection, EliminationCGSolver

This keeps track of primary / secondary tdofs and does small dense block solves to eliminate constraints from a global system.

$B_s^{-1}$ maps the lagrange space into secondary dofs, while $-B_s^{-1}{B}_p$ maps primary dofs to secondary dofs.

Definition at line 119 of file constraints.hpp.

Constructor & Destructor Documentation

Eliminator()

mfem::Eliminator::Eliminator	(	const SparseMatrix &	B,
		const Array< int > &	lagrange_dofs,
		const Array< int > &	primary_tdofs,
		const Array< int > &	secondary_tdofs )

Definition at line 22 of file constraints.cpp.

Member Function Documentation

Eliminate()

void mfem::Eliminator::Eliminate	(	const Vector &	in,
		Vector &	out ) const

Given primary dofs in in, return secondary dofs in out This applies $-B_s^{-1}{B}_p$.

Definition at line 51 of file constraints.cpp.

EliminateTranspose()

void mfem::Eliminator::EliminateTranspose	(	const Vector &	in,
		Vector &	out ) const

Transpose of Eliminate(), applies $-B_p^T{B}_s^{-T}$.

Definition at line 58 of file constraints.cpp.

ExplicitAssembly()

void mfem::Eliminator::ExplicitAssembly

(

DenseMatrix &

mat

)

const

Return $-B_s^{-1}{B}_p$ explicitly assembled in mat.

Definition at line 79 of file constraints.cpp.

LagrangeDofs()

const Array< int > & mfem::Eliminator::LagrangeDofs ( ) const

inline

Definition at line 126 of file constraints.hpp.

LagrangeSecondary()

void mfem::Eliminator::LagrangeSecondary	(	const Vector &	in,
		Vector &	out ) const

Maps Lagrange multipliers to secondary dofs, applies $B_s^{-1}$.

Definition at line 66 of file constraints.cpp.

LagrangeSecondaryTranspose()

void mfem::Eliminator::LagrangeSecondaryTranspose	(	const Vector &	in,
		Vector &	out ) const

Transpose of LagrangeSecondary()

Definition at line 72 of file constraints.cpp.

PrimaryDofs()

const Array< int > & mfem::Eliminator::PrimaryDofs ( ) const

inline

Definition at line 127 of file constraints.hpp.

SecondaryDofs()

const Array< int > & mfem::Eliminator::SecondaryDofs ( ) const

inline

Definition at line 128 of file constraints.hpp.

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

• linalg/constraints.hpp
• linalg/constraints.cpp