#include <bilininteg.hpp>

Inheritance diagram for mfem::DGTraceIntegrator:

Collaboration diagram for mfem::DGTraceIntegrator:

Public Member Functions
	DGTraceIntegrator (VectorCoefficient &u_, double a)
	Construct integrator with rho = 1, b = 0.5*a. More...

	DGTraceIntegrator (VectorCoefficient &u_, double a, double b)
	Construct integrator with rho = 1. More...

	DGTraceIntegrator (Coefficient &rho_, VectorCoefficient &u_, double a, double b)

virtual void	AssembleFaceMatrix (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Trans, DenseMatrix &elmat)

virtual void	AssemblePAInteriorFaces (const FiniteElementSpace &fes)

virtual void	AssemblePABoundaryFaces (const FiniteElementSpace &fes)

virtual void	AddMultTransposePA (const Vector &x, Vector &y) const
	Method for partially assembled transposed action. More...

virtual void	AddMultPA (const Vector &, Vector &) const
	Method for partially assembled action. More...

virtual void	AssembleEAInteriorFaces (const FiniteElementSpace &fes, Vector &ea_data_int, Vector &ea_data_ext, const bool add)

virtual void	AssembleEABoundaryFaces (const FiniteElementSpace &fes, Vector &ea_data_bdr, const bool add)

Public Member Functions inherited from mfem::BilinearFormIntegrator
virtual void	AssemblePA (const FiniteElementSpace &fes)
	Method defining partial assembly. More...

virtual void	AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes)

virtual void	AssembleDiagonalPA (Vector &diag)
	Assemble diagonal and add it to Vector diag. More...

virtual void	AssembleDiagonalPA_ADAt (const Vector &D, Vector &diag)
	Assemble diagonal of ADA^T (A is this integrator) and add it to diag. More...

virtual void	AssembleEA (const FiniteElementSpace &fes, Vector &emat, const bool add=true)
	Method defining element assembly. More...

virtual void	AssembleMF (const FiniteElementSpace &fes)
	Method defining matrix-free assembly. More...

virtual void	AddMultMF (const Vector &x, Vector &y) const

virtual void	AddMultTransposeMF (const Vector &x, Vector &y) const

virtual void	AssembleDiagonalMF (Vector &diag)
	Assemble diagonal and add it to Vector diag. More...

virtual void	AssembleElementMatrix (const FiniteElement &el, ElementTransformation &Trans, DenseMatrix &elmat)
	Given a particular Finite Element computes the element matrix elmat. More...

virtual void	AssembleElementMatrix2 (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans, DenseMatrix &elmat)

virtual void	AssembleFaceMatrix (const FiniteElement &trial_face_fe, const FiniteElement &test_fe1, const FiniteElement &test_fe2, FaceElementTransformations &Trans, DenseMatrix &elmat)

virtual void	AssembleElementVector (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the BilinearFormIntegrator. Note that the default implementation in the base class is general but not efficient. More...

virtual void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the BilinearFormIntegrator resulting from a face integral term. Note that the default implementation in the base class is general but not efficient. More...

virtual void	AssembleElementGrad (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, DenseMatrix &elmat)
	Assemble the local gradient matrix. More...

virtual void	AssembleFaceGrad (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, DenseMatrix &elmat)
	Assemble the local action of the gradient of the NonlinearFormIntegrator resulting from a face integral term. More...

virtual void	ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, bool with_coef=true)
	Virtual method required for Zienkiewicz-Zhu type error estimators. More...

virtual double	ComputeFluxEnergy (const FiniteElement &fluxelem, ElementTransformation &Trans, Vector &flux, Vector *d_energy=NULL)
	Virtual method required for Zienkiewicz-Zhu type error estimators. More...

virtual	~BilinearFormIntegrator ()

Public Member Functions inherited from mfem::NonlinearFormIntegrator
virtual void	SetIntRule (const IntegrationRule *ir)
	Prescribe a fixed IntegrationRule to use (when ir != NULL) or let the integrator choose (when ir == NULL). More...

void	SetIntegrationRule (const IntegrationRule &ir)
	Prescribe a fixed IntegrationRule to use. More...

void	SetPAMemoryType (MemoryType mt)

const IntegrationRule *	GetIntegrationRule () const
	Get the integration rule of the integrator (possibly NULL). More...

virtual double	GetElementEnergy (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun)
	Compute the local energy. More...

virtual void	AssembleGradPA (const Vector &x, const FiniteElementSpace &fes)
	Prepare the integrator for partial assembly (PA) gradient evaluations on the given FE space fes at the state x. More...

virtual double	GetLocalStateEnergyPA (const Vector &x) const
	Compute the local (to the MPI rank) energy with partial assembly. More...

virtual void	AddMultGradPA (const Vector &x, Vector &y) const
	Method for partially assembled gradient action. More...

virtual void	AssembleGradDiagonalPA (Vector &diag) const
	Method for computing the diagonal of the gradient with partial assembly. More...

virtual bool	SupportsCeed () const
	Indicates whether this integrator can use a Ceed backend. More...

ceed::Operator &	GetCeedOp ()

virtual	~NonlinearFormIntegrator ()

Static Public Member Functions
static const IntegrationRule &	GetRule (Geometry::Type geom, int order, FaceElementTransformations &T)

Protected Attributes
Coefficient *	rho

VectorCoefficient *	u

double	alpha

double	beta

Vector	pa_data

const DofToQuad *	maps
	Not owned. More...

const FaceGeometricFactors *	geom
	Not owned. More...

int	dim

int	nf

int	nq

int	dofs1D

int	quad1D

Protected Attributes inherited from mfem::NonlinearFormIntegrator
const IntegrationRule *	IntRule

ceed::Operator *	ceedOp

MemoryType	pa_mt = MemoryType::DEFAULT

Additional Inherited Members
Protected Member Functions inherited from mfem::BilinearFormIntegrator
	BilinearFormIntegrator (const IntegrationRule *ir=NULL)

Protected Member Functions inherited from mfem::NonlinearFormIntegrator
	NonlinearFormIntegrator (const IntegrationRule *ir=NULL)

Detailed Description

Integrator for the DG form: alpha < rho_u (u.n) {v},[w] > + beta < rho_u |u.n| [v],[w] >, where v and w are the trial and test variables, respectively, and rho/u are given scalar/vector coefficients. {v} represents the average value of v on the face and [v] is the jump such that {v}=(v1+v2)/2 and [v]=(v1-v2) for the face between elements 1 and 2. For boundary elements, v2=0. The vector coefficient, u, is assumed to be continuous across the faces and when given the scalar coefficient, rho, is assumed to be discontinuous. The integrator uses the upwind value of rho, rho_u, which is value from the side into which the vector coefficient, u, points.

One use case for this integrator is to discretize the operator -u.grad(v) with a DG formulation. The resulting formulation uses the ConvectionIntegrator (with coefficient u, and parameter alpha = -1) and the transpose of the DGTraceIntegrator (with coefficient u, and parameters alpha = 1, beta = -1/2 to use the upwind face flux, see also NonconservativeDGTraceIntegrator). This discretization and the handling of the inflow and outflow boundaries is illustrated in Example 9/9p.

Another use case for this integrator is to discretize the operator -div(u v) with a DG formulation. The resulting formulation is conservative and consists of the ConservativeConvectionIntegrator (with coefficient u, and parameter alpha = -1) plus the DGTraceIntegrator (with coefficient u, and parameters alpha = -1, beta = -1/2 to use the upwind face flux).

Definition at line 2805 of file bilininteg.hpp.

Constructor & Destructor Documentation

mfem::DGTraceIntegrator::DGTraceIntegrator	(	VectorCoefficient &	u_,
		double	a
	)

inline

Construct integrator with rho = 1, b = 0.5*a.

Definition at line 2822 of file bilininteg.hpp.

mfem::DGTraceIntegrator::DGTraceIntegrator	(	VectorCoefficient &	u_,
		double	a,
		double	b
	)

inline

Construct integrator with rho = 1.

Definition at line 2826 of file bilininteg.hpp.

mfem::DGTraceIntegrator::DGTraceIntegrator	(	Coefficient &	rho_,
		VectorCoefficient &	u_,
		double	a,
		double	b
	)

inline

Definition at line 2829 of file bilininteg.hpp.

Member Function Documentation

void mfem::DGTraceIntegrator::AddMultPA	(	const Vector &	x,
		Vector &	y
	)		const

virtual

Method for partially assembled action.

Perform the action of integrator on the input x and add the result to the output y. Both x and y are E-vectors, i.e. they represent the element-wise discontinuous version of the FE space.

This method can be called only after the method AssemblePA() has been called.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 1133 of file bilininteg_dgtrace_pa.cpp.

void mfem::DGTraceIntegrator::AddMultTransposePA	(	const Vector &	x,
		Vector &	y
	)		const

virtual

Method for partially assembled transposed action.

Perform the transpose action of integrator on the input x and add the result to the output y. Both x and y are E-vectors, i.e. they represent the element-wise discontinuous version of the FE space.

This method can be called only after the method AssemblePA() has been called.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 1140 of file bilininteg_dgtrace_pa.cpp.

void mfem::DGTraceIntegrator::AssembleEABoundaryFaces	(	const FiniteElementSpace &	fes,
		Vector &	ea_data_bdr,
		const bool	add
	)

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 427 of file bilininteg_dgtrace_ea.cpp.

void mfem::DGTraceIntegrator::AssembleEAInteriorFaces	(	const FiniteElementSpace &	fes,
		Vector &	ea_data_int,
		Vector &	ea_data_ext,
		const bool	add
	)

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 348 of file bilininteg_dgtrace_ea.cpp.

void mfem::DGTraceIntegrator::AssembleFaceMatrix	(	const FiniteElement &	el1,
		const FiniteElement &	el2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat
	)

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2922 of file bilininteg.cpp.

void mfem::DGTraceIntegrator::AssemblePABoundaryFaces ( const FiniteElementSpace & fes )

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 298 of file bilininteg_dgtrace_pa.cpp.

void mfem::DGTraceIntegrator::AssemblePAInteriorFaces ( const FiniteElementSpace & fes )

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 293 of file bilininteg_dgtrace_pa.cpp.

const IntegrationRule & mfem::DGTraceIntegrator::GetRule	(	Geometry::Type	geom,
		int	order,
		FaceElementTransformations &	T
	)

static

Definition at line 3056 of file bilininteg.cpp.

Member Data Documentation

double mfem::DGTraceIntegrator::alpha

protected

Definition at line 2810 of file bilininteg.hpp.

double mfem::DGTraceIntegrator::beta

protected

Definition at line 2810 of file bilininteg.hpp.

int mfem::DGTraceIntegrator::dim

protected

Definition at line 2815 of file bilininteg.hpp.

int mfem::DGTraceIntegrator::dofs1D

protected

Definition at line 2815 of file bilininteg.hpp.

const FaceGeometricFactors* mfem::DGTraceIntegrator::geom

protected

Not owned.

Definition at line 2814 of file bilininteg.hpp.

const DofToQuad* mfem::DGTraceIntegrator::maps

protected

Not owned.

Definition at line 2813 of file bilininteg.hpp.

int mfem::DGTraceIntegrator::nf

protected

Definition at line 2815 of file bilininteg.hpp.

int mfem::DGTraceIntegrator::nq

protected

Definition at line 2815 of file bilininteg.hpp.

Vector mfem::DGTraceIntegrator::pa_data

protected

Definition at line 2812 of file bilininteg.hpp.

int mfem::DGTraceIntegrator::quad1D

protected

Definition at line 2815 of file bilininteg.hpp.

Coefficient* mfem::DGTraceIntegrator::rho

protected

Definition at line 2808 of file bilininteg.hpp.

VectorCoefficient* mfem::DGTraceIntegrator::u

protected

Definition at line 2809 of file bilininteg.hpp.

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

Public Member Functions

Static Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation