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

#include <bilinearform.hpp>

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

 MixedBilinearForm (FiniteElementSpace *tr_fes, FiniteElementSpace *te_fes)
 
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
 Operator application: y=A(x). More...
 
virtual void AddMult (const Vector &x, Vector &y, const double a=1.0) const
 
virtual void AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const
 
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 MatrixInverseInverse () const
 Returns a pointer to (an approximation) of the matrix inverse. More...
 
virtual void Finalize (int skip_zeros=1)
 Finalizes the matrix initialization. More...
 
void GetBlocks (Array2D< SparseMatrix * > &blocks) const
 
const SparseMatrixSpMat () const
 
SparseMatrixSpMat ()
 
SparseMatrixLoseMat ()
 
void AddDomainIntegrator (BilinearFormIntegrator *bfi)
 
void AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
 
void AddTraceFaceIntegrator (BilinearFormIntegrator *bfi)
 
Array< BilinearFormIntegrator * > * GetDBFI ()
 
Array< BilinearFormIntegrator * > * GetBBFI ()
 
Array< BilinearFormIntegrator * > * GetTFBFI ()
 
void operator= (const double a)
 
void Assemble (int skip_zeros=1)
 
void ConformingAssemble ()
 
void EliminateTrialDofs (Array< int > &bdr_attr_is_ess, Vector &sol, Vector &rhs)
 
void EliminateEssentialBCFromTrialDofs (Array< int > &marked_vdofs, Vector &sol, Vector &rhs)
 
virtual void EliminateTestDofs (Array< int > &bdr_attr_is_ess)
 
void Update ()
 
virtual ~MixedBilinearForm ()
 
- 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 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...
 
virtual const OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More...
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. 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...
 
virtual void RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
 Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). 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 Attributes

SparseMatrixmat
 
FiniteElementSpacetrial_fes
 
FiniteElementSpacetest_fes
 
Array< BilinearFormIntegrator * > dom
 
Array< BilinearFormIntegrator * > bdr
 
Array< BilinearFormIntegrator * > skt
 
- 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 assembling of bilinear forms a(u,v) defined on different trial and test spaces. The assembled matrix A is such that

a(u,v) = V^t A U

where U and V are the vectors representing the functions u and v, respectively. The first argument, u, of a(,) is in the trial space and the second argument, v, is in the test space. Thus,

# of rows of A = dimension of the test space and
# of cols of A = dimension of the trial space.

Both trial and test spaces should be defined on the same mesh.

Definition at line 345 of file bilinearform.hpp.

Constructor & Destructor Documentation

mfem::MixedBilinearForm::MixedBilinearForm ( FiniteElementSpace tr_fes,
FiniteElementSpace te_fes 
)

Definition at line 898 of file bilinearform.cpp.

mfem::MixedBilinearForm::~MixedBilinearForm ( )
virtual

Definition at line 1139 of file bilinearform.cpp.

Member Function Documentation

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

Definition at line 961 of file bilinearform.cpp.

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

Definition at line 956 of file bilinearform.cpp.

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

Definition at line 922 of file bilinearform.cpp.

void mfem::MixedBilinearForm::AddMultTranspose ( const Vector x,
Vector y,
const double  a = 1.0 
) const
virtual

Definition at line 928 of file bilinearform.cpp.

void mfem::MixedBilinearForm::AddTraceFaceIntegrator ( BilinearFormIntegrator bfi)

Add a trace face integrator. This type of integrator assembles terms over all faces of the mesh using the face FE from the trial space and the two adjacent volume FEs from the test space.

Definition at line 966 of file bilinearform.cpp.

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

Definition at line 971 of file bilinearform.cpp.

void mfem::MixedBilinearForm::ConformingAssemble ( )

For partially conforming trial and/or test FE spaces, complete the assembly process by performing A := P2^t A P1 where A is the internal sparse matrix; P1 and P2 are the conforming prolongation matrices of the trial and test FE spaces, respectively. After this call the MixedBilinearForm becomes an operator on the conforming FE spaces.

Definition at line 1056 of file bilinearform.cpp.

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

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 907 of file bilinearform.cpp.

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

Returns constant reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 912 of file bilinearform.cpp.

void mfem::MixedBilinearForm::EliminateEssentialBCFromTrialDofs ( Array< int > &  marked_vdofs,
Vector sol,
Vector rhs 
)

Definition at line 1105 of file bilinearform.cpp.

void mfem::MixedBilinearForm::EliminateTestDofs ( Array< int > &  bdr_attr_is_ess)
virtual

Definition at line 1111 of file bilinearform.cpp.

void mfem::MixedBilinearForm::EliminateTrialDofs ( Array< int > &  bdr_attr_is_ess,
Vector sol,
Vector rhs 
)

Definition at line 1082 of file bilinearform.cpp.

void mfem::MixedBilinearForm::Finalize ( int  = 1)
virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 939 of file bilinearform.cpp.

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

Definition at line 399 of file bilinearform.hpp.

void mfem::MixedBilinearForm::GetBlocks ( Array2D< SparseMatrix * > &  blocks) const

Extract the associated matrix as SparseMatrix blocks. The number of block rows and columns is given by the vector dimensions (vdim) of the test and trial spaces, respectively.

Definition at line 944 of file bilinearform.cpp.

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

Definition at line 397 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetTFBFI ( )
inline

Definition at line 401 of file bilinearform.hpp.

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

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

Implements mfem::Matrix.

Definition at line 934 of file bilinearform.cpp.

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

Definition at line 386 of file bilinearform.hpp.

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

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 917 of file bilinearform.cpp.

virtual void mfem::MixedBilinearForm::MultTranspose ( const Vector x,
Vector y 
) const
inlinevirtual

Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.

Reimplemented from mfem::Operator.

Definition at line 372 of file bilinearform.hpp.

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

Definition at line 403 of file bilinearform.hpp.

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

Definition at line 384 of file bilinearform.hpp.

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

Definition at line 385 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Update ( )

Definition at line 1131 of file bilinearform.cpp.

Member Data Documentation

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::bdr
protected

Definition at line 353 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::dom
protected

Definition at line 352 of file bilinearform.hpp.

SparseMatrix* mfem::MixedBilinearForm::mat
protected

Definition at line 348 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::skt
protected

Definition at line 354 of file bilinearform.hpp.

FiniteElementSpace * mfem::MixedBilinearForm::test_fes
protected

Definition at line 350 of file bilinearform.hpp.

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes
protected

Definition at line 350 of file bilinearform.hpp.


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