mfem::SBM2NeumannLFIntegrator Class Reference

#include <sbm_solver.hpp>

Inheritance diagram for mfem::SBM2NeumannLFIntegrator:

Collaboration diagram for mfem::SBM2NeumannLFIntegrator:

Public Member Functions
	SBM2NeumannLFIntegrator (const ParMesh *pmesh, ShiftedFunctionCoefficient &u, VectorCoefficient &vD_, ShiftedVectorFunctionCoefficient &vN_, Array< int > &elem_marker_, int nterms_=0, bool include_cut_cell_=false, int ls_cut_marker_=ShiftedFaceMarker::SBElementType::CUT)
virtual void	AssembleRHSElementVect (const FiniteElement &el, ElementTransformation &Tr, Vector &elvect)
virtual void	AssembleRHSElementVect (const FiniteElement &el, FaceElementTransformations &Tr, Vector &elvect)
virtual void	AssembleRHSElementVect (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, Vector &elvect)
bool	GetTrimFlag () const
Public Member Functions inherited from mfem::LinearFormIntegrator
virtual bool	SupportsDevice () const
	Method probing for assembly on device.
virtual void	AssembleDevice (const FiniteElementSpace &fes, const Array< int > &markers, Vector &b)
	Method defining assembly on device.
virtual void	SetIntRule (const IntegrationRule *ir)
const IntegrationRule *	GetIntRule ()
virtual	~LinearFormIntegrator ()

Protected Attributes
ShiftedVectorFunctionCoefficient *	vN
ShiftedFunctionCoefficient *	uN
VectorCoefficient *	vD
Array< int > *	elem_marker
int	nterms
bool	include_cut_cell
int	NEproc
int	par_shared_face_count
int	ls_cut_marker
Vector	shape
Vector	nor
Protected Attributes inherited from mfem::LinearFormIntegrator
const IntegrationRule *	IntRule

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

Detailed Description

LinearFormIntegrator for Neumann boundaries using the shifted boundary method.

\[ (u, w) = \langle \hat{n} \cdot n \, t_n, w \rangle \]

where \(\hat{n}\) is the normal vector at the true boundary, \(n\) is the normal vector at the surrogate boundary, and \(t_n\) is the traction boundary condition. 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. Note that \(t_n\) is evaluated at the true boundary using the distance function and ShiftedFunctionCoefficient, i.e. \(t_n(x_{true}) = t_N(x_{surrogate} + D)\), where \(x_{surrogate}\) is the location of the integration point on the surrogate boundary and \(D\) is the distance vector from the surrogate boundary to the true boundary.

Definition at line 278 of file sbm_solver.hpp.

Constructor & Destructor Documentation

SBM2NeumannLFIntegrator()

mfem::SBM2NeumannLFIntegrator::SBM2NeumannLFIntegrator ( const ParMesh * pmesh, ShiftedFunctionCoefficient & u, VectorCoefficient & vD_, ShiftedVectorFunctionCoefficient & vN_, Array< int > & elem_marker_, int nterms_ = 0, bool include_cut_cell_ = false, int ls_cut_marker_ = ShiftedFaceMarker::SBElementType::CUT )

inline

Definition at line 296 of file sbm_solver.hpp.

Member Function Documentation

AssembleRHSElementVect() [1/3]

void mfem::SBM2NeumannLFIntegrator::AssembleRHSElementVect ( const FiniteElement & el, ElementTransformation & Tr, Vector & elvect )

virtual

Given a particular Finite Element and a transformation (Tr) computes the element vector, elvect.

Implements mfem::LinearFormIntegrator.

Definition at line 932 of file sbm_solver.cpp.

AssembleRHSElementVect() [2/3]

void mfem::SBM2NeumannLFIntegrator::AssembleRHSElementVect ( const FiniteElement & el, FaceElementTransformations & Tr, Vector & elvect )

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 938 of file sbm_solver.cpp.

AssembleRHSElementVect() [3/3]

void mfem::SBM2NeumannLFIntegrator::AssembleRHSElementVect ( const FiniteElement & el1, const FiniteElement & el2, FaceElementTransformations & Tr, Vector & elvect )

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 944 of file sbm_solver.cpp.

GetTrimFlag()

bool mfem::SBM2NeumannLFIntegrator::GetTrimFlag ( ) const

inline

Definition at line 322 of file sbm_solver.hpp.

Member Data Documentation

elem_marker

Array<int>* mfem::SBM2NeumannLFIntegrator::elem_marker

protected

Definition at line 284 of file sbm_solver.hpp.

include_cut_cell

bool mfem::SBM2NeumannLFIntegrator::include_cut_cell

protected

Definition at line 287 of file sbm_solver.hpp.

ls_cut_marker

int mfem::SBM2NeumannLFIntegrator::ls_cut_marker

protected

Definition at line 290 of file sbm_solver.hpp.

NEproc

int mfem::SBM2NeumannLFIntegrator::NEproc

protected

Definition at line 288 of file sbm_solver.hpp.

nor

Vector mfem::SBM2NeumannLFIntegrator::nor

protected

Definition at line 293 of file sbm_solver.hpp.

nterms

int mfem::SBM2NeumannLFIntegrator::nterms

protected

Definition at line 285 of file sbm_solver.hpp.

par_shared_face_count

int mfem::SBM2NeumannLFIntegrator::par_shared_face_count

protected

Definition at line 289 of file sbm_solver.hpp.

shape

Vector mfem::SBM2NeumannLFIntegrator::shape

protected

Definition at line 293 of file sbm_solver.hpp.

uN

ShiftedFunctionCoefficient* mfem::SBM2NeumannLFIntegrator::uN

protected

Definition at line 282 of file sbm_solver.hpp.

vD

VectorCoefficient* mfem::SBM2NeumannLFIntegrator::vD

protected

Definition at line 283 of file sbm_solver.hpp.

vN

ShiftedVectorFunctionCoefficient* mfem::SBM2NeumannLFIntegrator::vN

protected

Definition at line 281 of file sbm_solver.hpp.

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

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