MFEM  v3.3
Finite element discretization library
Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
mfem::BilinearForm Class Reference

#include <bilinearform.hpp>

Inheritance diagram for mfem::BilinearForm:
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Collaboration diagram for mfem::BilinearForm:
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Public Member Functions

 BilinearForm (FiniteElementSpace *f)
 Creates bilinear form associated with FE space *f. More...
 
 BilinearForm (FiniteElementSpace *f, BilinearForm *bf, int ps=0)
 
int Size () const
 Get the size of the BilinearForm as a square matrix. More...
 
void EnableStaticCondensation ()
 
bool StaticCondensationIsEnabled () const
 
FiniteElementSpaceSCFESpace () const
 Return the trace FE space associated with static condensation. More...
 
void EnableHybridization (FiniteElementSpace *constr_space, BilinearFormIntegrator *constr_integ, const Array< int > &ess_tdof_list)
 
void UsePrecomputedSparsity (int ps=1)
 
void UseSparsity (int *I, int *J, bool isSorted)
 Use the given CSR sparsity pattern to allocate the internal SparseMatrix. More...
 
void UseSparsity (SparseMatrix &A)
 Use the sparsity of A to allocate the internal SparseMatrix. More...
 
void AllocateMatrix ()
 
Array< BilinearFormIntegrator * > * GetDBFI ()
 
Array< BilinearFormIntegrator * > * GetBBFI ()
 
Array< BilinearFormIntegrator * > * GetFBFI ()
 
Array< BilinearFormIntegrator * > * GetBFBFI ()
 
const double & operator() (int i, int j)
 
virtual double & Elem (int i, int j)
 Returns reference to a_{ij}. More...
 
virtual const double & Elem (int i, int j) const
 Returns constant reference to a_{ij}. More...
 
virtual void Mult (const Vector &x, Vector &y) const
 Matrix vector multiplication. More...
 
void FullMult (const Vector &x, Vector &y) const
 
virtual void AddMult (const Vector &x, Vector &y, const double a=1.0) const
 
void FullAddMult (const Vector &x, Vector &y) const
 
double InnerProduct (const Vector &x, const Vector &y) const
 
virtual MatrixInverseInverse () const
 Returns a pointer to (approximation) of the matrix inverse. More...
 
virtual void Finalize (int skip_zeros=1)
 Finalizes the matrix initialization. More...
 
const SparseMatrixSpMat () const
 Returns a reference to the sparse matrix. More...
 
SparseMatrixSpMat ()
 
SparseMatrixLoseMat ()
 
const SparseMatrixSpMatElim () const
 Returns a reference to the sparse matrix of eliminated b.c. More...
 
SparseMatrixSpMatElim ()
 
void AddDomainIntegrator (BilinearFormIntegrator *bfi)
 Adds new Domain Integrator. More...
 
void AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
 Adds new Boundary Integrator. More...
 
void AddInteriorFaceIntegrator (BilinearFormIntegrator *bfi)
 Adds new interior Face Integrator. More...
 
void AddBdrFaceIntegrator (BilinearFormIntegrator *bfi)
 Adds new boundary Face Integrator. More...
 
void AddBdrFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
 Adds new boundary Face Integrator, restricted to specific boundary attributes. More...
 
void operator= (const double a)
 
void Assemble (int skip_zeros=1)
 Assembles the form i.e. sums over all domain/bdr integrators. More...
 
virtual const OperatorGetProlongation () const
 Get the finite element space prolongation matrix. More...
 
virtual const OperatorGetRestriction () const
 Get the finite element space restriction matrix. More...
 
void FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, SparseMatrix &A, Vector &X, Vector &B, int copy_interior=0)
 
void FormSystemMatrix (const Array< int > &ess_tdof_list, SparseMatrix &A)
 Form the linear system matrix A, see FormLinearSystem for details. More...
 
virtual void RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
 
void ComputeElementMatrices ()
 Compute and store internally all element matrices. More...
 
void FreeElementMatrices ()
 Free the memory used by the element matrices. More...
 
void ComputeElementMatrix (int i, DenseMatrix &elmat)
 
void AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &vdofs, int skip_zeros=1)
 
void AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, Array< int > &vdofs, int skip_zeros=1)
 
void EliminateEssentialBC (const Array< int > &bdr_attr_is_ess, Vector &sol, Vector &rhs, int d=0)
 
void EliminateEssentialBC (const Array< int > &bdr_attr_is_ess, int d=0)
 
void EliminateEssentialBCDiag (const Array< int > &bdr_attr_is_ess, double value)
 Perform elimination and set the diagonal entry to the given value. More...
 
void EliminateVDofs (const Array< int > &vdofs, Vector &sol, Vector &rhs, int d=0)
 Eliminate the given vdofs. NOTE: here, vdofs is a list of DOFs. More...
 
void EliminateVDofs (const Array< int > &vdofs, int d=0)
 
void EliminateEssentialBCFromDofs (const Array< int > &ess_dofs, Vector &sol, Vector &rhs, int d=0)
 
void EliminateEssentialBCFromDofs (const Array< int > &ess_dofs, int d=0)
 
void EliminateEssentialBCFromDofsDiag (const Array< int > &ess_dofs, double value)
 Perform elimination and set the diagonal entry to the given value. More...
 
void EliminateVDofsInRHS (const Array< int > &vdofs, const Vector &x, Vector &b)
 
double FullInnerProduct (const Vector &x, const Vector &y) const
 
virtual void Update (FiniteElementSpace *nfes=NULL)
 
FiniteElementSpaceGetFES ()
 Return the FE space associated with the BilinearForm. More...
 
virtual ~BilinearForm ()
 Destroys bilinear form. More...
 
- Public Member Functions inherited from mfem::Matrix
 Matrix (int s)
 Creates a square matrix of size s. More...
 
 Matrix (int h, int w)
 Creates a matrix of the given height and width. More...
 
virtual void Print (std::ostream &out=std::cout, int width_=4) const
 Prints matrix to stream out. More...
 
virtual ~Matrix ()
 Destroys matrix. More...
 
- Public Member Functions inherited from mfem::Operator
 Operator (int s=0)
 Construct a square Operator with given size s (default 0). More...
 
 Operator (int h, int w)
 Construct an Operator with the given height (output size) and width (input size). More...
 
int Height () const
 Get the height (size of output) of the Operator. Synonym with NumRows(). More...
 
int NumRows () const
 Get the number of rows (size of output) of the Operator. Synonym with Height(). More...
 
int Width () const
 Get the width (size of input) of the Operator. Synonym with NumCols(). More...
 
int NumCols () const
 Get the number of columns (size of input) of the Operator. Synonym with Width(). More...
 
virtual void MultTranspose (const Vector &x, Vector &y) const
 Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error. More...
 
virtual OperatorGetGradient (const Vector &x) const
 Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More...
 
void FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
 Form a constrained linear system using a matrix-free approach. More...
 
void PrintMatlab (std::ostream &out, int n=0, int m=0) const
 Prints operator with input size n and output size m in Matlab format. More...
 
virtual ~Operator ()
 Virtual destructor. More...
 

Protected Member Functions

void AllocMat ()
 
void ConformingAssemble ()
 
 BilinearForm ()
 

Protected Attributes

SparseMatrixmat
 Sparse matrix to be associated with the form. More...
 
SparseMatrixmat_e
 Matrix used to eliminate b.c. More...
 
FiniteElementSpacefes
 FE space on which the form lives. More...
 
long sequence
 
int extern_bfs
 
Array< BilinearFormIntegrator * > dbfi
 Set of Domain Integrators to be applied. More...
 
Array< BilinearFormIntegrator * > bbfi
 Set of Boundary Integrators to be applied. More...
 
Array< BilinearFormIntegrator * > fbfi
 Set of interior face Integrators to be applied. More...
 
Array< BilinearFormIntegrator * > bfbfi
 Set of boundary face Integrators to be applied. More...
 
Array< Array< int > * > bfbfi_marker
 
DenseMatrix elemmat
 
Array< int > vdofs
 
DenseTensorelement_matrices
 
StaticCondensationstatic_cond
 
Hybridizationhybridization
 
int precompute_sparsity
 
- Protected Attributes inherited from mfem::Operator
int height
 Dimension of the output / number of rows in the matrix. More...
 
int width
 Dimension of the input / number of columns in the matrix. More...
 

Additional Inherited Members

- Public Types inherited from mfem::Operator
enum  Type {
  MFEM_SPARSEMAT, HYPRE_PARCSR, PETSC_MATAIJ, PETSC_MATIS,
  PETSC_MATSHELL, PETSC_MATNEST
}
 Enumeration defining IDs for some classes derived from Operator. More...
 

Detailed Description

Class for bilinear form - "Matrix" with associated FE space and BLFIntegrators.

Definition at line 29 of file bilinearform.hpp.

Constructor & Destructor Documentation

mfem::BilinearForm::BilinearForm ( )
inlineprotected

Definition at line 75 of file bilinearform.hpp.

mfem::BilinearForm::BilinearForm ( FiniteElementSpace f)

Creates bilinear form associated with FE space *f.

Definition at line 65 of file bilinearform.cpp.

mfem::BilinearForm::BilinearForm ( FiniteElementSpace f,
BilinearForm bf,
int  ps = 0 
)

Definition at line 78 of file bilinearform.cpp.

mfem::BilinearForm::~BilinearForm ( )
virtual

Destroys bilinear form.

Definition at line 879 of file bilinearform.cpp.

Member Function Documentation

void mfem::BilinearForm::AddBdrFaceIntegrator ( BilinearFormIntegrator bfi)

Adds new boundary Face Integrator.

Definition at line 220 of file bilinearform.cpp.

void mfem::BilinearForm::AddBdrFaceIntegrator ( BilinearFormIntegrator bfi,
Array< int > &  bdr_marker 
)

Adds new boundary Face Integrator, restricted to specific boundary attributes.

Definition at line 226 of file bilinearform.cpp.

void mfem::BilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator bfi)

Adds new Boundary Integrator.

Definition at line 210 of file bilinearform.cpp.

void mfem::BilinearForm::AddDomainIntegrator ( BilinearFormIntegrator bfi)

Adds new Domain Integrator.

Definition at line 205 of file bilinearform.cpp.

void mfem::BilinearForm::AddInteriorFaceIntegrator ( BilinearFormIntegrator bfi)

Adds new interior Face Integrator.

Definition at line 215 of file bilinearform.cpp.

virtual void mfem::BilinearForm::AddMult ( const Vector x,
Vector y,
const double  a = 1.0 
) const
inlinevirtual

Definition at line 159 of file bilinearform.hpp.

void mfem::BilinearForm::AllocateMatrix ( )
inline

Pre-allocate the internal SparseMatrix before assembly. If the flag 'precompute sparsity' is set, the matrix is allocated in CSR format (i.e. finalized) and the entries are initialized with zeros.

Definition at line 135 of file bilinearform.hpp.

void mfem::BilinearForm::AllocMat ( )
protected

Definition at line 20 of file bilinearform.cpp.

void mfem::BilinearForm::Assemble ( int  skip_zeros = 1)

Assembles the form i.e. sums over all domain/bdr integrators.

Definition at line 305 of file bilinearform.cpp.

void mfem::BilinearForm::AssembleBdrElementMatrix ( int  i,
const DenseMatrix elmat,
Array< int > &  vdofs,
int  skip_zeros = 1 
)

Definition at line 283 of file bilinearform.cpp.

void mfem::BilinearForm::AssembleElementMatrix ( int  i,
const DenseMatrix elmat,
Array< int > &  vdofs,
int  skip_zeros = 1 
)

Definition at line 261 of file bilinearform.cpp.

void mfem::BilinearForm::ComputeElementMatrices ( )

Compute and store internally all element matrices.

Definition at line 663 of file bilinearform.cpp.

void mfem::BilinearForm::ComputeElementMatrix ( int  i,
DenseMatrix elmat 
)

Definition at line 233 of file bilinearform.cpp.

void mfem::BilinearForm::ConformingAssemble ( )
protected

Definition at line 476 of file bilinearform.cpp.

double & mfem::BilinearForm::Elem ( int  i,
int  j 
)
virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 177 of file bilinearform.cpp.

const double & mfem::BilinearForm::Elem ( int  i,
int  j 
) const
virtual

Returns constant reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 182 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBC ( const Array< int > &  bdr_attr_is_ess,
Vector sol,
Vector rhs,
int  d = 0 
)

Eliminate essential boundary DOFs from the system. The array 'bdr_attr_is_ess' marks boundary attributes that constitute the essential part of the boundary. If d == 0, the diagonal at the essential DOFs is set to 1.0, otherwise it is left the same.

Definition at line 705 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBC ( const Array< int > &  bdr_attr_is_ess,
int  d = 0 
)

Definition at line 722 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCDiag ( const Array< int > &  bdr_attr_is_ess,
double  value 
)

Perform elimination and set the diagonal entry to the given value.

Definition at line 739 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofs ( const Array< int > &  ess_dofs,
Vector sol,
Vector rhs,
int  d = 0 
)

Similar to EliminateVDofs but here ess_dofs is a marker (boolean) array on all vdofs (ess_dofs[i] < 0 is true).

Definition at line 794 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofs ( const Array< int > &  ess_dofs,
int  d = 0 
)

Similar to EliminateVDofs but here ess_dofs is a marker (boolean) array on all vdofs (ess_dofs[i] < 0 is true).

Definition at line 808 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofsDiag ( const Array< int > &  ess_dofs,
double  value 
)

Perform elimination and set the diagonal entry to the given value.

Definition at line 820 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateVDofs ( const Array< int > &  vdofs,
Vector sol,
Vector rhs,
int  d = 0 
)

Eliminate the given vdofs. NOTE: here, vdofs is a list of DOFs.

Definition at line 756 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateVDofs ( const Array< int > &  vdofs,
int  d = 0 
)

Eliminate the given vdofs storing the eliminated part internally; this method works in conjunction with EliminateVDofsInRHS and allows elimination of boundary conditions in multiple right-hand sides. In this method, vdofs is a list of DOFs.

Definition at line 773 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateVDofsInRHS ( const Array< int > &  vdofs,
const Vector x,
Vector b 
)

Use the stored eliminated part of the matrix (see EliminateVDofs) to modify r.h.s.; vdofs is a list of DOFs (non-directional, i.e. >= 0).

Definition at line 832 of file bilinearform.cpp.

void mfem::BilinearForm::EnableHybridization ( FiniteElementSpace constr_space,
BilinearFormIntegrator constr_integ,
const Array< int > &  ess_tdof_list 
)

Enable hybridization; for details see the description for class Hybridization in fem/hybridization.hpp. This method should be called before assembly.

Definition at line 141 of file bilinearform.cpp.

void mfem::BilinearForm::EnableStaticCondensation ( )

Enable the use of static condensation. For details see the description for class StaticCondensation in fem/staticcond.hpp This method should be called before assembly. If the number of unknowns after static condensation is not reduced, it is not enabled.

Definition at line 124 of file bilinearform.cpp.

void mfem::BilinearForm::Finalize ( int  skip_zeros = 1)
virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 197 of file bilinearform.cpp.

void mfem::BilinearForm::FormLinearSystem ( const Array< int > &  ess_tdof_list,
Vector x,
Vector b,
SparseMatrix A,
Vector X,
Vector B,
int  copy_interior = 0 
)

Form the linear system A X = B, corresponding to the current bilinear form and b(.), by applying any necessary transformations such as: eliminating boundary conditions; applying conforming constraints for non-conforming AMR; static condensation; hybridization.

The GridFunction-size vector x must contain the essential b.c. The BilinearForm and the LinearForm-size vector b must be assembled.

The vector X is initialized with a suitable initial guess: when using hybridization, the vector X is set to zero; otherwise, the essential entries of X are set to the corresponding b.c. and all other entries are set to zero (copy_interior == 0) or copied from x (copy_interior != 0).

This method can be called multiple times (with the same ess_tdof_list array) to initialize different right-hand sides and boundary condition values.

After solving the linear system, the finite element solution x can be recovered by calling RecoverFEMSolution (with the same vectors X, b, and x).

NOTE: If there are no transformations, X simply reuses the data of x.

Definition at line 511 of file bilinearform.cpp.

void mfem::BilinearForm::FormSystemMatrix ( const Array< int > &  ess_tdof_list,
SparseMatrix A 
)

Form the linear system matrix A, see FormLinearSystem for details.

Definition at line 577 of file bilinearform.cpp.

void mfem::BilinearForm::FreeElementMatrices ( )
inline

Free the memory used by the element matrices.

Definition at line 270 of file bilinearform.hpp.

void mfem::BilinearForm::FullAddMult ( const Vector x,
Vector y 
) const
inline

Definition at line 162 of file bilinearform.hpp.

double mfem::BilinearForm::FullInnerProduct ( const Vector x,
const Vector y 
) const
inline

Definition at line 318 of file bilinearform.hpp.

void mfem::BilinearForm::FullMult ( const Vector x,
Vector y 
) const
inline

Definition at line 156 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetBBFI ( )
inline

Definition at line 139 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetBFBFI ( )
inline

Definition at line 143 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetDBFI ( )
inline

Definition at line 137 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetFBFI ( )
inline

Definition at line 141 of file bilinearform.hpp.

FiniteElementSpace* mfem::BilinearForm::GetFES ( )
inline

Return the FE space associated with the BilinearForm.

Definition at line 324 of file bilinearform.hpp.

virtual const Operator* mfem::BilinearForm::GetProlongation ( ) const
inlinevirtual

Get the finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 226 of file bilinearform.hpp.

virtual const Operator* mfem::BilinearForm::GetRestriction ( ) const
inlinevirtual

Get the finite element space restriction matrix.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 229 of file bilinearform.hpp.

double mfem::BilinearForm::InnerProduct ( const Vector x,
const Vector y 
) const
inline

Definition at line 165 of file bilinearform.hpp.

MatrixInverse * mfem::BilinearForm::Inverse ( ) const
virtual

Returns a pointer to (approximation) of the matrix inverse.

Implements mfem::Matrix.

Definition at line 192 of file bilinearform.cpp.

SparseMatrix* mfem::BilinearForm::LoseMat ( )
inline

Definition at line 185 of file bilinearform.hpp.

void mfem::BilinearForm::Mult ( const Vector x,
Vector y 
) const
virtual

Matrix vector multiplication.

Implements mfem::Operator.

Definition at line 187 of file bilinearform.cpp.

const double& mfem::BilinearForm::operator() ( int  i,
int  j 
)
inline

Definition at line 145 of file bilinearform.hpp.

void mfem::BilinearForm::operator= ( const double  a)
inline

Definition at line 216 of file bilinearform.hpp.

void mfem::BilinearForm::RecoverFEMSolution ( const Vector X,
const Vector b,
Vector x 
)
virtual

Call this method after solving a linear system constructed using the FormLinearSystem method to recover the solution as a GridFunction-size vector in x. Use the same arguments as in the FormLinearSystem call.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 615 of file bilinearform.cpp.

FiniteElementSpace* mfem::BilinearForm::SCFESpace ( ) const
inline

Return the trace FE space associated with static condensation.

Definition at line 103 of file bilinearform.hpp.

int mfem::BilinearForm::Size ( ) const
inline

Get the size of the BilinearForm as a square matrix.

Definition at line 90 of file bilinearform.hpp.

const SparseMatrix& mfem::BilinearForm::SpMat ( ) const
inline

Returns a reference to the sparse matrix.

Definition at line 175 of file bilinearform.hpp.

SparseMatrix& mfem::BilinearForm::SpMat ( )
inline

Definition at line 180 of file bilinearform.hpp.

const SparseMatrix& mfem::BilinearForm::SpMatElim ( ) const
inline

Returns a reference to the sparse matrix of eliminated b.c.

Definition at line 188 of file bilinearform.hpp.

SparseMatrix& mfem::BilinearForm::SpMatElim ( )
inline

Definition at line 193 of file bilinearform.hpp.

bool mfem::BilinearForm::StaticCondensationIsEnabled ( ) const
inline

Check if static condensation was actually enabled by a previous call to EnableStaticCondensation.

Definition at line 100 of file bilinearform.hpp.

void mfem::BilinearForm::Update ( FiniteElementSpace nfes = NULL)
virtual

Reimplemented in mfem::ParBilinearForm.

Definition at line 839 of file bilinearform.cpp.

void mfem::BilinearForm::UsePrecomputedSparsity ( int  ps = 1)
inline

For scalar FE spaces, precompute the sparsity pattern of the matrix (assuming dense element matrices) based on the types of integrators present in the bilinear form.

Definition at line 116 of file bilinearform.hpp.

void mfem::BilinearForm::UseSparsity ( int *  I,
int *  J,
bool  isSorted 
)

Use the given CSR sparsity pattern to allocate the internal SparseMatrix.

  • The I and J arrays must define a square graph with size equal to GetVSize() of the associated FiniteElementSpace.
  • This method should be called after enabling static condensation or hybridization, if used.
  • In the case of static condensation, I and J are not used.
  • The ownership of the arrays I and J remains with the caller.

Definition at line 151 of file bilinearform.cpp.

void mfem::BilinearForm::UseSparsity ( SparseMatrix A)

Use the sparsity of A to allocate the internal SparseMatrix.

Definition at line 167 of file bilinearform.cpp.

Member Data Documentation

Array<BilinearFormIntegrator*> mfem::BilinearForm::bbfi
protected

Set of Boundary Integrators to be applied.

Definition at line 51 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::bfbfi
protected

Set of boundary face Integrators to be applied.

Definition at line 57 of file bilinearform.hpp.

Array<Array<int>*> mfem::BilinearForm::bfbfi_marker
protected

Definition at line 58 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::dbfi
protected

Set of Domain Integrators to be applied.

Definition at line 48 of file bilinearform.hpp.

DenseTensor* mfem::BilinearForm::element_matrices
protected

Definition at line 63 of file bilinearform.hpp.

DenseMatrix mfem::BilinearForm::elemmat
protected

Definition at line 60 of file bilinearform.hpp.

int mfem::BilinearForm::extern_bfs
protected

Definition at line 45 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::fbfi
protected

Set of interior face Integrators to be applied.

Definition at line 54 of file bilinearform.hpp.

FiniteElementSpace* mfem::BilinearForm::fes
protected

FE space on which the form lives.

Definition at line 39 of file bilinearform.hpp.

Hybridization* mfem::BilinearForm::hybridization
protected

Definition at line 66 of file bilinearform.hpp.

SparseMatrix* mfem::BilinearForm::mat
protected

Sparse matrix to be associated with the form.

Definition at line 33 of file bilinearform.hpp.

SparseMatrix* mfem::BilinearForm::mat_e
protected

Matrix used to eliminate b.c.

Definition at line 36 of file bilinearform.hpp.

int mfem::BilinearForm::precompute_sparsity
protected

Definition at line 68 of file bilinearform.hpp.

long mfem::BilinearForm::sequence
protected

Indicates the Mesh::sequence corresponding to the current state of the BilinearForm.

Definition at line 43 of file bilinearform.hpp.

StaticCondensation* mfem::BilinearForm::static_cond
protected

Definition at line 65 of file bilinearform.hpp.

Array<int> mfem::BilinearForm::vdofs
protected

Definition at line 61 of file bilinearform.hpp.


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