#include <nonlinearform.hpp>

Inheritance diagram for mfem::NonlinearForm:

Collaboration diagram for mfem::NonlinearForm:

Public Member Functions
	NonlinearForm (FiniteElementSpace *f)
	Construct a NonlinearForm on the given FiniteElementSpace, f. More...

FiniteElementSpace *	FESpace ()

const FiniteElementSpace *	FESpace () 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 Operator &	GetGradient (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 Operator *	GetProlongation () const
	Get the finite element space prolongation matrix. More...

virtual const Operator *	GetRestriction () 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 MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator. 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 Vector &	Prolongate (const Vector &x) const

Protected Attributes
FiniteElementSpace *	fes
	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

SparseMatrix *	Grad

SparseMatrix *	cGrad

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 Operator *	P
	Pointer to the prolongation matrix of fes, may be NULL. More...

const SparseMatrix *	cP
	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:

fem/nonlinearform.hpp
fem/nonlinearform.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation