#include <sbm_solver.hpp>

Inheritance diagram for mfem::SBM2NeumannIntegrator:

Collaboration diagram for mfem::SBM2NeumannIntegrator:

Public Member Functions
	SBM2NeumannIntegrator (const ParMesh *pmesh, VectorCoefficient &vD_, ShiftedVectorFunctionCoefficient &vN_, Array< int > &elem_marker_, Array< int > &cut_marker_, bool include_cut_cell_=false, int nterms_=1)

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

bool	GetTrimFlag () const

virtual	~SBM2NeumannIntegrator ()

virtual void	AssembleFaceMatrix (const FiniteElement &trial_fe1, const FiniteElement &test_fe1, const FiniteElement &trial_fe2, const FiniteElement &test_fe2, FaceElementTransformations &Trans, DenseMatrix &elmat)

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

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

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

virtual void	AssembleNURBSPA (const FiniteElementSpace &fes)
	Method defining partial assembly on NURBS patches.

virtual void	AssemblePABoundary (const FiniteElementSpace &fes)

virtual void	AssemblePAInteriorFaces (const FiniteElementSpace &fes)

virtual void	AssemblePABoundaryFaces (const FiniteElementSpace &fes)

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

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

void	AddMultPA (const Vector &x, Vector &y) const override
	Method for partially assembled action.

virtual void	AddMultNURBSPA (const Vector &x, Vector &y) const
	Method for partially assembled action on NURBS patches.

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

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

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

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

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

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

virtual void	AssembleEABoundary (const FiniteElementSpace &fes, Vector &ea_data_bdr, const bool add=true)

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

virtual void	AssembleEAInteriorFaces (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes, Vector &emat, const bool add=true)
	Method defining element assembly for mixed trace integrators.

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

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

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

virtual void	AssemblePatchMatrix (const int patch, const FiniteElementSpace &fes, SparseMatrix *&smat)

virtual void	AssembleTraceFaceMatrix (int elem, const FiniteElement &trial_face_fe, const FiniteElement &test_fe, FaceElementTransformations &Trans, DenseMatrix &elmat)

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

void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect) override
	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.

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

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

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

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

virtual bool	RequiresFaceNormalDerivatives () const
	For bilinear forms on element faces, specifies if the normal derivatives are needed on the faces or just the face restriction.

virtual void	AddMultPAFaceNormalDerivatives (const Vector &x, const Vector &dxdn, Vector &y, Vector &dydn) const
	Method for partially assembled action.

virtual	~BilinearFormIntegrator ()

Public Member Functions inherited from mfem::NonlinearFormIntegrator
void	SetIntegrationMode (Mode m)

bool	Patchwise () const

void	SetPAMemoryType (MemoryType mt)

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

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.

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

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

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

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

ceed::Operator &	GetCeedOp ()

virtual	~NonlinearFormIntegrator ()

Public Member Functions inherited from mfem::Integrator
	Integrator (const IntegrationRule *ir=NULL)
	Create a new Integrator, optionally providing a prescribed quadrature rule to use in assembly.

virtual void	SetIntRule (const IntegrationRule *ir)
	Prescribe a fixed IntegrationRule to use, or set to null to let the integrator choose an appropriate rule.

void	SetIntegrationRule (const IntegrationRule &ir)
	Prescribe a fixed IntegrationRule to use. Sets the NURBS patch integration rule to null.

void	SetNURBSPatchIntRule (NURBSMeshRules *pr)
	Sets an integration rule for use on NURBS patches.

bool	HasNURBSPatchIntRule () const
	Check if a NURBS patch integration rule has been set.

const IntegrationRule *	GetIntRule () const
	Directly return the IntRule pointer (possibly null) without checking for NURBS patch rules or falling back on a default.

const IntegrationRule *	GetIntegrationRule () const
	Equivalent to GetIntRule, but retained for backward compatibility with applications.

Protected Attributes
ShiftedVectorFunctionCoefficient *	vN

VectorCoefficient *	vD

Array< int > *	elem_marker

bool	include_cut_cell

int	nterms

int	NEproc

int	par_shared_face_count

Array< int >	cut_marker

Vector	shape

Vector	dshapedn

Vector	nor

Vector	nh

Vector	ni

DenseMatrix	dshape

DenseMatrix	adjJ

Protected Attributes inherited from mfem::NonlinearFormIntegrator
Mode	integrationMode = Mode::ELEMENTWISE

ceed::Operator *	ceedOp

MemoryType	pa_mt = MemoryType::DEFAULT

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

NURBSMeshRules *	patchRules = nullptr

Additional Inherited Members
Public Types inherited from mfem::NonlinearFormIntegrator
enum	Mode { ELEMENTWISE = 0 , PATCHWISE = 1 , PATCHWISE_REDUCED = 2 }

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

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

Protected Member Functions inherited from mfem::Integrator
const IntegrationRule *	GetIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state of the Integrator object.

const IntegrationRule *	GetIntegrationRule (const FiniteElement &el, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state. (Version for identical trial_fe and test_fe)

virtual const IntegrationRule *	GetDefaultIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Subclasses should override to choose a default integration rule.

Detailed Description

BilinearFormIntegrator for Neumann boundaries using the shifted boundary method.

\[ A(u,w) = \langle [\nabla u + \nabla(\nabla u) \cdot d + h.o.t.] \cdot \hat{n} \, (n \cdot \hat{n}),w ⟩ - \langle \nabla u \cdot n,w \rangle \]

where h.o.t are the high-order terms due to Taylor expansion for \(\nabla u\), \(\hat{n}\) is the normal vector at the true boundary, \(n\) is the normal vector at the surrogate boundary. Since this interior face integrator is applied to the surrogate boundary (see marking.hpp for notes on how the surrogate faces are determined and elements are marked), this integrator adds contribution to only the element that is adjacent to that face (Trans.Elem1 or Trans.Elem2) and is part of the surrogate domain.

Definition at line 214 of file sbm_solver.hpp.

Constructor & Destructor Documentation

◆ SBM2NeumannIntegrator()

mfem::SBM2NeumannIntegrator::SBM2NeumannIntegrator	(	const ParMesh *	pmesh,
		VectorCoefficient &	vD_,
		ShiftedVectorFunctionCoefficient &	vN_,
		Array< int > &	elem_marker_,
		Array< int > &	cut_marker_,
		bool	include_cut_cell_ = false,
		int	nterms_ = 1 )

inline

Definition at line 235 of file sbm_solver.hpp.

◆ ~SBM2NeumannIntegrator()

virtual mfem::SBM2NeumannIntegrator::~SBM2NeumannIntegrator ( )

inlinevirtual

Definition at line 258 of file sbm_solver.hpp.

Member Function Documentation

◆ AssembleFaceMatrix() [1/3]

void mfem::SBM2NeumannIntegrator::AssembleFaceMatrix	(	const FiniteElement &	el1,
		const FiniteElement &	el2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

overridevirtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 646 of file sbm_solver.cpp.

◆ AssembleFaceMatrix() [2/3]

void mfem::BilinearFormIntegrator::AssembleFaceMatrix	(	const FiniteElement &	trial_face_fe,
		const FiniteElement &	test_fe1,
		const FiniteElement &	test_fe2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

virtual

Abstract method used for assembling TraceFaceIntegrators in a MixedBilinearForm.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 185 of file bilininteg.cpp.

◆ AssembleFaceMatrix() [3/3]

void mfem::BilinearFormIntegrator::AssembleFaceMatrix	(	const FiniteElement &	trial_fe1,
		const FiniteElement &	test_fe1,
		const FiniteElement &	trial_fe2,
		const FiniteElement &	test_fe2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

virtual

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 176 of file bilininteg.cpp.

◆ GetTrimFlag()

bool mfem::SBM2NeumannIntegrator::GetTrimFlag ( ) const

inline

Definition at line 256 of file sbm_solver.hpp.

Member Data Documentation

◆ adjJ

DenseMatrix mfem::SBM2NeumannIntegrator::adjJ

protected

Definition at line 231 of file sbm_solver.hpp.

◆ cut_marker

Array<int> mfem::SBM2NeumannIntegrator::cut_marker

protected

Definition at line 226 of file sbm_solver.hpp.

◆ dshape

DenseMatrix mfem::SBM2NeumannIntegrator::dshape

protected

Definition at line 231 of file sbm_solver.hpp.

◆ dshapedn

Vector mfem::SBM2NeumannIntegrator::dshapedn

protected

Definition at line 230 of file sbm_solver.hpp.

◆ elem_marker

Array<int>* mfem::SBM2NeumannIntegrator::elem_marker

protected

Definition at line 219 of file sbm_solver.hpp.

◆ include_cut_cell

bool mfem::SBM2NeumannIntegrator::include_cut_cell

protected

Definition at line 221 of file sbm_solver.hpp.

◆ NEproc

int mfem::SBM2NeumannIntegrator::NEproc

protected

Definition at line 224 of file sbm_solver.hpp.

◆ nh

Vector mfem::SBM2NeumannIntegrator::nh

protected

Definition at line 230 of file sbm_solver.hpp.

◆ ni

Vector mfem::SBM2NeumannIntegrator::ni

protected

Definition at line 230 of file sbm_solver.hpp.

◆ nor

Vector mfem::SBM2NeumannIntegrator::nor

protected

Definition at line 230 of file sbm_solver.hpp.

◆ nterms

int mfem::SBM2NeumannIntegrator::nterms

protected

Definition at line 222 of file sbm_solver.hpp.

◆ par_shared_face_count

int mfem::SBM2NeumannIntegrator::par_shared_face_count

protected

Definition at line 225 of file sbm_solver.hpp.

◆ shape

Vector mfem::SBM2NeumannIntegrator::shape

protected

Definition at line 230 of file sbm_solver.hpp.

◆ vD

VectorCoefficient* mfem::SBM2NeumannIntegrator::vD

protected

Definition at line 218 of file sbm_solver.hpp.

◆ vN

ShiftedVectorFunctionCoefficient* mfem::SBM2NeumannIntegrator::vN

protected

Definition at line 217 of file sbm_solver.hpp.

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

miniapps/shifted/sbm_solver.hpp
miniapps/shifted/sbm_solver.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SBM2NeumannIntegrator()

◆ ~SBM2NeumannIntegrator()

Member Function Documentation

◆ AssembleFaceMatrix() [1/3]

◆ AssembleFaceMatrix() [2/3]

◆ AssembleFaceMatrix() [3/3]

◆ GetTrimFlag()

Member Data Documentation

◆ adjJ

◆ cut_marker

◆ dshape

◆ dshapedn

◆ elem_marker

◆ include_cut_cell

◆ NEproc

◆ nh

◆ ni

◆ nor

◆ nterms

◆ par_shared_face_count

◆ shape

◆ vD

◆ vN