mfem::DGElasticityDirichletLFIntegrator Class Reference

#include <lininteg.hpp>

Inheritance diagram for mfem::DGElasticityDirichletLFIntegrator:

Collaboration diagram for mfem::DGElasticityDirichletLFIntegrator:

Public Member Functions
	DGElasticityDirichletLFIntegrator (VectorCoefficient &uD_, Coefficient &lambda_, Coefficient &mu_, real_t alpha_, real_t kappa_)
void	AssembleRHSElementVect (const FiniteElement &el, ElementTransformation &Tr, Vector &elvect) override
void	AssembleRHSElementVect (const FiniteElement &el, FaceElementTransformations &Tr, Vector &elvect) override
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	~LinearFormIntegrator ()
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
VectorCoefficient &	uD
Coefficient *	lambda
Coefficient *	mu
real_t	alpha
real_t	kappa
Vector	shape
DenseMatrix	dshape
DenseMatrix	adjJ
DenseMatrix	dshape_ps
Vector	nor
Vector	dshape_dn
Vector	dshape_du
Vector	u_dir
Protected Attributes inherited from mfem::Integrator
const IntegrationRule *	IntRule
NURBSMeshRules *	patchRules = nullptr

Additional Inherited Members
Protected Member Functions inherited from mfem::LinearFormIntegrator
	LinearFormIntegrator (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

Boundary linear form integrator for imposing non-zero Dirichlet boundary conditions, in a DG elasticity formulation. Specifically, the linear form is given by

\[ \alpha \langle u_D, (\lambda \mathrm{div}(v) I + \mu (\nabla v + \nabla v^{\mathrm{T}})) \cdot n \rangle + + \kappa \langle h^{-1} (\lambda + 2 \mu) u_D, v \rangle, \]

where u_D is the given Dirichlet data. The parameters \(\alpha\), \(\kappa\), \(\lambda\) and \(\mu\), should match the parameters with the same names used in the bilinear form integrator, DGElasticityIntegrator.

Definition at line 594 of file lininteg.hpp.

Constructor & Destructor Documentation

DGElasticityDirichletLFIntegrator()

mfem::DGElasticityDirichletLFIntegrator::DGElasticityDirichletLFIntegrator ( VectorCoefficient & uD_, Coefficient & lambda_, Coefficient & mu_, real_t alpha_, real_t kappa_ )

inline

Definition at line 613 of file lininteg.hpp.

Member Function Documentation

AssembleRHSElementVect() [1/3]

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

overridevirtual

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

Implements mfem::LinearFormIntegrator.

Definition at line 901 of file lininteg.cpp.

AssembleRHSElementVect() [2/3]

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

overridevirtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 907 of file lininteg.cpp.

AssembleRHSElementVect() [3/3]

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

virtual

Reimplemented from mfem::LinearFormIntegrator.

Definition at line 49 of file lininteg.cpp.

Member Data Documentation

adjJ

DenseMatrix mfem::DGElasticityDirichletLFIntegrator::adjJ

protected

Definition at line 604 of file lininteg.hpp.

alpha

real_t mfem::DGElasticityDirichletLFIntegrator::alpha

protected

Definition at line 599 of file lininteg.hpp.

dshape

DenseMatrix mfem::DGElasticityDirichletLFIntegrator::dshape

protected

Definition at line 603 of file lininteg.hpp.

dshape_dn

Vector mfem::DGElasticityDirichletLFIntegrator::dshape_dn

protected

Definition at line 607 of file lininteg.hpp.

dshape_du

Vector mfem::DGElasticityDirichletLFIntegrator::dshape_du

protected

Definition at line 608 of file lininteg.hpp.

dshape_ps

DenseMatrix mfem::DGElasticityDirichletLFIntegrator::dshape_ps

protected

Definition at line 605 of file lininteg.hpp.

kappa

real_t mfem::DGElasticityDirichletLFIntegrator::kappa

protected

Definition at line 599 of file lininteg.hpp.

lambda

Coefficient* mfem::DGElasticityDirichletLFIntegrator::lambda

protected

Definition at line 598 of file lininteg.hpp.

mu

Coefficient * mfem::DGElasticityDirichletLFIntegrator::mu

protected

Definition at line 598 of file lininteg.hpp.

nor

Vector mfem::DGElasticityDirichletLFIntegrator::nor

protected

Definition at line 606 of file lininteg.hpp.

shape

Vector mfem::DGElasticityDirichletLFIntegrator::shape

protected

Definition at line 602 of file lininteg.hpp.

u_dir

Vector mfem::DGElasticityDirichletLFIntegrator::u_dir

protected

Definition at line 609 of file lininteg.hpp.

uD

VectorCoefficient& mfem::DGElasticityDirichletLFIntegrator::uD

protected

Definition at line 597 of file lininteg.hpp.

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

• fem/lininteg.hpp
• fem/lininteg.cpp