MFEM  v3.4
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, const Vector &sol, Vector &rhs)
 
void EliminateEssentialBCFromTrialDofs (Array< int > &marked_vdofs, const 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=mfem::out, 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...
 
Type GetType () const
 Return the type ID of the Operator class. 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::Matrix
enum  DiagonalPolicy { DIAG_ZERO, DIAG_ONE, DIAG_KEEP }
 
- Public Types inherited from mfem::Operator
enum  Type {
  ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ,
  PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE,
  PETSC_MATGENERIC
}
 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 393 of file bilinearform.hpp.

Constructor & Destructor Documentation

◆ MixedBilinearForm()

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

Definition at line 937 of file bilinearform.cpp.

◆ ~MixedBilinearForm()

mfem::MixedBilinearForm::~MixedBilinearForm ( )
virtual

Definition at line 1178 of file bilinearform.cpp.

Member Function Documentation

◆ AddBoundaryIntegrator()

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

Definition at line 1000 of file bilinearform.cpp.

◆ AddDomainIntegrator()

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

Definition at line 995 of file bilinearform.cpp.

◆ AddMult()

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

Definition at line 961 of file bilinearform.cpp.

◆ AddMultTranspose()

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

Definition at line 967 of file bilinearform.cpp.

◆ AddTraceFaceIntegrator()

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 1005 of file bilinearform.cpp.

◆ Assemble()

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

Definition at line 1010 of file bilinearform.cpp.

◆ ConformingAssemble()

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 1095 of file bilinearform.cpp.

◆ Elem() [1/2]

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

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 946 of file bilinearform.cpp.

◆ Elem() [2/2]

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

Returns constant reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 951 of file bilinearform.cpp.

◆ EliminateEssentialBCFromTrialDofs()

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

Definition at line 1144 of file bilinearform.cpp.

◆ EliminateTestDofs()

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

Definition at line 1150 of file bilinearform.cpp.

◆ EliminateTrialDofs()

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

Definition at line 1121 of file bilinearform.cpp.

◆ Finalize()

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

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 978 of file bilinearform.cpp.

◆ GetBBFI()

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

Definition at line 447 of file bilinearform.hpp.

◆ GetBlocks()

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 983 of file bilinearform.cpp.

◆ GetDBFI()

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

Definition at line 445 of file bilinearform.hpp.

◆ GetTFBFI()

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

Definition at line 449 of file bilinearform.hpp.

◆ Inverse()

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

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

Implements mfem::Matrix.

Definition at line 973 of file bilinearform.cpp.

◆ LoseMat()

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

Definition at line 434 of file bilinearform.hpp.

◆ Mult()

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

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 956 of file bilinearform.cpp.

◆ MultTranspose()

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 420 of file bilinearform.hpp.

◆ operator=()

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

Definition at line 451 of file bilinearform.hpp.

◆ SpMat() [1/2]

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

Definition at line 432 of file bilinearform.hpp.

◆ SpMat() [2/2]

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

Definition at line 433 of file bilinearform.hpp.

◆ Update()

void mfem::MixedBilinearForm::Update ( )

Definition at line 1170 of file bilinearform.cpp.

Member Data Documentation

◆ bdr

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

Definition at line 401 of file bilinearform.hpp.

◆ dom

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

Definition at line 400 of file bilinearform.hpp.

◆ mat

SparseMatrix* mfem::MixedBilinearForm::mat
protected

Definition at line 396 of file bilinearform.hpp.

◆ skt

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

Definition at line 402 of file bilinearform.hpp.

◆ test_fes

FiniteElementSpace * mfem::MixedBilinearForm::test_fes
protected

Definition at line 398 of file bilinearform.hpp.

◆ trial_fes

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes
protected

Definition at line 398 of file bilinearform.hpp.


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