mfem::SBM2DirichletLFIntegrator Class Reference

#include <sbm_solver.hpp>

Inheritance diagram for mfem::SBM2DirichletLFIntegrator:

Collaboration diagram for mfem::SBM2DirichletLFIntegrator:

Public Member Functions
	SBM2DirichletLFIntegrator (const ParMesh *pmesh, ShiftedFunctionCoefficient &u, const real_t alpha_, VectorCoefficient &vD_, Array< int > &elem_marker_, bool include_cut_cell_=false, int nterms_=0, 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)
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
ShiftedFunctionCoefficient *	uD
real_t	alpha
VectorCoefficient *	vD
Array< int > *	elem_marker
bool	include_cut_cell
int	nterms
int	NEproc
int	par_shared_face_count
int	ls_cut_marker
Vector	shape
Vector	dshape_dd
Vector	dshape_dn
Vector	nor
Vector	nh
Vector	ni
DenseMatrix	dshape
DenseMatrix	adjJ
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 the high-order extension of shifted boundary method.

\[ (u, w) = -\langle u_D, \nabla w \cdot n \rangle +\langle \alpha h^{-1} u_D, w + \nabla w \cdot d + h.o.t \rangle \]

where \(h.o.t\) include higher-order derivatives ( \(\nabla^k u\)) due to Taylor expansion. 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 \(u_D\) is evaluated at the true boundary using the distance function and ShiftedFunctionCoefficient, i.e. \(u_D(x_{true}) = u_D(x_{surrogate} + D)\), 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 152 of file sbm_solver.hpp.

Constructor & Destructor Documentation

SBM2DirichletLFIntegrator()

mfem::SBM2DirichletLFIntegrator::SBM2DirichletLFIntegrator ( const ParMesh * pmesh, ShiftedFunctionCoefficient & u, const real_t alpha_, VectorCoefficient & vD_, Array< int > & elem_marker_, bool include_cut_cell_ = false, int nterms_ = 0, int ls_cut_marker_ = ShiftedFaceMarker::SBElementType::CUT )

inline

Definition at line 173 of file sbm_solver.hpp.

Member Function Documentation

AssembleRHSElementVect() [1/3]

void mfem::SBM2DirichletLFIntegrator::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 338 of file sbm_solver.cpp.

AssembleRHSElementVect() [2/3]

void mfem::SBM2DirichletLFIntegrator::AssembleRHSElementVect ( const FiniteElement & el, FaceElementTransformations & Tr, Vector & elvect )

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 344 of file sbm_solver.cpp.

AssembleRHSElementVect() [3/3]

void mfem::SBM2DirichletLFIntegrator::AssembleRHSElementVect ( const FiniteElement & el1, const FiniteElement & el2, FaceElementTransformations & Tr, Vector & elvect )

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 350 of file sbm_solver.cpp.

Member Data Documentation

adjJ

DenseMatrix mfem::SBM2DirichletLFIntegrator::adjJ

protected

Definition at line 170 of file sbm_solver.hpp.

alpha

real_t mfem::SBM2DirichletLFIntegrator::alpha

protected

Definition at line 156 of file sbm_solver.hpp.

dshape

DenseMatrix mfem::SBM2DirichletLFIntegrator::dshape

protected

Definition at line 170 of file sbm_solver.hpp.

dshape_dd

Vector mfem::SBM2DirichletLFIntegrator::dshape_dd

protected

Definition at line 169 of file sbm_solver.hpp.

dshape_dn

Vector mfem::SBM2DirichletLFIntegrator::dshape_dn

protected

Definition at line 169 of file sbm_solver.hpp.

elem_marker

Array<int>* mfem::SBM2DirichletLFIntegrator::elem_marker

protected

Definition at line 158 of file sbm_solver.hpp.

include_cut_cell

bool mfem::SBM2DirichletLFIntegrator::include_cut_cell

protected

Definition at line 160 of file sbm_solver.hpp.

ls_cut_marker

int mfem::SBM2DirichletLFIntegrator::ls_cut_marker

protected

Definition at line 165 of file sbm_solver.hpp.

NEproc

int mfem::SBM2DirichletLFIntegrator::NEproc

protected

Definition at line 163 of file sbm_solver.hpp.

nh

Vector mfem::SBM2DirichletLFIntegrator::nh

protected

Definition at line 169 of file sbm_solver.hpp.

ni

Vector mfem::SBM2DirichletLFIntegrator::ni

protected

Definition at line 169 of file sbm_solver.hpp.

nor

Vector mfem::SBM2DirichletLFIntegrator::nor

protected

Definition at line 169 of file sbm_solver.hpp.

nterms

int mfem::SBM2DirichletLFIntegrator::nterms

protected

Definition at line 161 of file sbm_solver.hpp.

par_shared_face_count

int mfem::SBM2DirichletLFIntegrator::par_shared_face_count

protected

Definition at line 164 of file sbm_solver.hpp.

shape

Vector mfem::SBM2DirichletLFIntegrator::shape

protected

Definition at line 169 of file sbm_solver.hpp.

uD

ShiftedFunctionCoefficient* mfem::SBM2DirichletLFIntegrator::uD

protected

Definition at line 155 of file sbm_solver.hpp.

vD

VectorCoefficient* mfem::SBM2DirichletLFIntegrator::vD

protected

Definition at line 157 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