MFEM  v3.4
Finite element discretization library
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mfem::NonlinearForm Class Reference

#include <nonlinearform.hpp>

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

 NonlinearForm (FiniteElementSpace *f)
 Construct a NonlinearForm on the given FiniteElementSpace, f. More...
 
FiniteElementSpaceFESpace ()
 
const FiniteElementSpaceFESpace () const
 
void AddDomainIntegrator (NonlinearFormIntegrator *nlfi)
 Adds new Domain Integrator. More...
 
void AddInteriorFaceIntegrator (NonlinearFormIntegrator *nlfi)
 Adds new Interior Face Integrator. More...
 
void AddBdrFaceIntegrator (NonlinearFormIntegrator *nlfi)
 Adds new Boundary Face Integrator. More...
 
void AddBdrFaceIntegrator (NonlinearFormIntegrator *nfi, Array< int > &bdr_marker)
 Adds new Boundary Face Integrator, restricted to specific boundary attributes. More...
 
void SetEssentialBC (const Array< int > &bdr_attr_is_ess, Vector *rhs=NULL)
 Specify essential boundary conditions. More...
 
void SetEssentialVDofs (const Array< int > &ess_vdofs_list)
 (DEPRECATED) Specify essential boundary conditions. More...
 
void SetEssentialTrueDofs (const Array< int > &ess_tdof_list)
 Specify essential boundary conditions. More...
 
const Array< int > & GetEssentialTrueDofs () const
 Return a (read-only) list of all essential true dofs. More...
 
double GetGridFunctionEnergy (const Vector &x) const
 Compute the enery corresponding to the state x. More...
 
virtual double GetEnergy (const Vector &x) const
 Compute the enery corresponding to the state x. More...
 
virtual void Mult (const Vector &x, Vector &y) const
 Evaluate the action of the NonlinearForm. More...
 
virtual OperatorGetGradient (const Vector &x) const
 Compute the gradient Operator of the NonlinearForm corresponding to the state x. More...
 
virtual void Update ()
 Update the NonlinearForm to propagate updates of the associated FE space. 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...
 
virtual ~NonlinearForm ()
 Destroy the NoninearForm including the owned NonlinearFormIntegrators and gradient Operator. 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...
 
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 Member Functions

bool Serial () const
 
const VectorProlongate (const Vector &x) const
 

Protected Attributes

FiniteElementSpacefes
 FE space on which the form lives. More...
 
Array< NonlinearFormIntegrator * > dnfi
 Set of Domain Integrators to be assembled (added). More...
 
Array< NonlinearFormIntegrator * > fnfi
 Set of interior face Integrators to be assembled (added). More...
 
Array< NonlinearFormIntegrator * > bfnfi
 Set of boundary face Integrators to be assembled (added). More...
 
Array< Array< int > * > bfnfi_marker
 
SparseMatrixGrad
 
SparseMatrixcGrad
 
Array< int > ess_tdof_list
 A list of all essential true dofs. More...
 
long sequence
 Counter for updates propagated from the FiniteElementSpace. More...
 
Vector aux1
 Auxiliary Vectors. More...
 
Vector aux2
 
const OperatorP
 Pointer to the prolongation matrix of fes, may be NULL. More...
 
const SparseMatrixcP
 The result of dynamic-casting P to SparseMatrix pointer. More...
 
- 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 {
  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

Definition at line 22 of file nonlinearform.hpp.

Constructor & Destructor Documentation

mfem::NonlinearForm::NonlinearForm ( FiniteElementSpace f)
inline

Construct a NonlinearForm on the given FiniteElementSpace, f.

As an Operator, the NonlinearForm has input and output size equal to the number of true degrees of freedom, i.e. f->GetTrueVSize().

Definition at line 61 of file nonlinearform.hpp.

mfem::NonlinearForm::~NonlinearForm ( )
virtual

Destroy the NoninearForm including the owned NonlinearFormIntegrators and gradient Operator.

Definition at line 390 of file nonlinearform.cpp.

Member Function Documentation

void mfem::NonlinearForm::AddBdrFaceIntegrator ( NonlinearFormIntegrator nlfi)
inline

Adds new Boundary Face Integrator.

Definition at line 79 of file nonlinearform.hpp.

void mfem::NonlinearForm::AddBdrFaceIntegrator ( NonlinearFormIntegrator nfi,
Array< int > &  bdr_marker 
)
inline

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

Definition at line 84 of file nonlinearform.hpp.

void mfem::NonlinearForm::AddDomainIntegrator ( NonlinearFormIntegrator nlfi)
inline

Adds new Domain Integrator.

Definition at line 71 of file nonlinearform.hpp.

void mfem::NonlinearForm::AddInteriorFaceIntegrator ( NonlinearFormIntegrator nlfi)
inline

Adds new Interior Face Integrator.

Definition at line 75 of file nonlinearform.hpp.

FiniteElementSpace* mfem::NonlinearForm::FESpace ( )
inline

Definition at line 67 of file nonlinearform.hpp.

const FiniteElementSpace* mfem::NonlinearForm::FESpace ( ) const
inline

Definition at line 68 of file nonlinearform.hpp.

virtual double mfem::NonlinearForm::GetEnergy ( const Vector x) const
inlinevirtual

Compute the enery corresponding to the state x.

In general, x may have non-homogeneous essential boundary values.

The state x must be a true-dof vector.

Reimplemented in mfem::ParNonlinearForm.

Definition at line 118 of file nonlinearform.hpp.

const Array<int>& mfem::NonlinearForm::GetEssentialTrueDofs ( ) const
inline

Return a (read-only) list of all essential true dofs.

Definition at line 105 of file nonlinearform.hpp.

Operator & mfem::NonlinearForm::GetGradient ( const Vector x) const
virtual

Compute the gradient Operator of the NonlinearForm corresponding to the state x.

Any previously specified essential boundary conditions will be automatically imposed on the gradient operator.

The returned object is valid until the next call to this method or the destruction of this object.

In general, x may have non-homogeneous essential boundary values.

The state x must be a true-dof vector.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParNonlinearForm.

Definition at line 233 of file nonlinearform.cpp.

double mfem::NonlinearForm::GetGridFunctionEnergy ( const Vector x) const

Compute the enery corresponding to the state x.

In general, x may have non-homogeneous essential boundary values.

The state x must be a "GridFunction size" vector, i.e. its size must be fes->GetVSize().

Definition at line 62 of file nonlinearform.cpp.

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

Get the finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Definition at line 148 of file nonlinearform.hpp.

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

Get the finite element space restriction matrix.

Reimplemented from mfem::Operator.

Definition at line 150 of file nonlinearform.hpp.

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

Evaluate the action of the NonlinearForm.

The input essential dofs in x will, generally, be non-zero. However, the output essential dofs in y will always be set to zero.

Both the input and the output vectors, x and y, must be true-dof vectors, i.e. their size must be fes->GetTrueVSize().

Implements mfem::Operator.

Reimplemented in mfem::ParNonlinearForm.

Definition at line 110 of file nonlinearform.cpp.

const Vector & mfem::NonlinearForm::Prolongate ( const Vector x) const
protected

Definition at line 98 of file nonlinearform.cpp.

bool mfem::NonlinearForm::Serial ( ) const
inlineprotected

Definition at line 54 of file nonlinearform.hpp.

void mfem::NonlinearForm::SetEssentialBC ( const Array< int > &  bdr_attr_is_ess,
Vector rhs = NULL 
)

Specify essential boundary conditions.

This method calls FiniteElementSpace::GetEssentialTrueDofs() and stores the result internally for use by other methods. If the rhs pointer is not NULL, its essential true dofs will be set to zero. This makes it "compatible" with the output vectors from the Mult() method which also have zero entries at the essential true dofs.

Definition at line 17 of file nonlinearform.cpp.

void mfem::NonlinearForm::SetEssentialTrueDofs ( const Array< int > &  ess_tdof_list)
inline

Specify essential boundary conditions.

Definition at line 101 of file nonlinearform.hpp.

void mfem::NonlinearForm::SetEssentialVDofs ( const Array< int > &  ess_vdofs_list)

(DEPRECATED) Specify essential boundary conditions.

Deprecated:
Use either SetEssentialBC() or SetEssentialTrueDofs().

Definition at line 32 of file nonlinearform.cpp.

void mfem::NonlinearForm::Update ( )
virtual

Update the NonlinearForm to propagate updates of the associated FE space.

After calling this method, the essential boundary conditions need to be set again.

Reimplemented in mfem::ParNonlinearForm.

Definition at line 376 of file nonlinearform.cpp.

Member Data Documentation

Vector mfem::NonlinearForm::aux1
mutableprotected

Auxiliary Vectors.

Definition at line 47 of file nonlinearform.hpp.

Vector mfem::NonlinearForm::aux2
mutableprotected

Definition at line 47 of file nonlinearform.hpp.

Array<NonlinearFormIntegrator*> mfem::NonlinearForm::bfnfi
protected

Set of boundary face Integrators to be assembled (added).

Definition at line 35 of file nonlinearform.hpp.

Array<Array<int>*> mfem::NonlinearForm::bfnfi_marker
protected

Definition at line 36 of file nonlinearform.hpp.

SparseMatrix * mfem::NonlinearForm::cGrad
mutableprotected

Definition at line 38 of file nonlinearform.hpp.

const SparseMatrix* mfem::NonlinearForm::cP
protected

The result of dynamic-casting P to SparseMatrix pointer.

Definition at line 52 of file nonlinearform.hpp.

Array<NonlinearFormIntegrator*> mfem::NonlinearForm::dnfi
protected

Set of Domain Integrators to be assembled (added).

Definition at line 29 of file nonlinearform.hpp.

Array<int> mfem::NonlinearForm::ess_tdof_list
protected

A list of all essential true dofs.

Definition at line 41 of file nonlinearform.hpp.

FiniteElementSpace* mfem::NonlinearForm::fes
protected

FE space on which the form lives.

Definition at line 26 of file nonlinearform.hpp.

Array<NonlinearFormIntegrator*> mfem::NonlinearForm::fnfi
protected

Set of interior face Integrators to be assembled (added).

Definition at line 32 of file nonlinearform.hpp.

SparseMatrix* mfem::NonlinearForm::Grad
mutableprotected

Definition at line 38 of file nonlinearform.hpp.

const Operator* mfem::NonlinearForm::P
protected

Pointer to the prolongation matrix of fes, may be NULL.

Definition at line 50 of file nonlinearform.hpp.

long mfem::NonlinearForm::sequence
protected

Counter for updates propagated from the FiniteElementSpace.

Definition at line 44 of file nonlinearform.hpp.


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