#include <bilininteg.hpp>

Inheritance diagram for mfem::ElasticityIntegrator:

Collaboration diagram for mfem::ElasticityIntegrator:

Public Member Functions
	ElasticityIntegrator (Coefficient &l, Coefficient &m)

	ElasticityIntegrator (Coefficient &m, double q_l, double q_m)

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

virtual void	ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, bool with_coef=true)

virtual double	ComputeFluxEnergy (const FiniteElement &fluxelem, ElementTransformation &Trans, Vector &flux, Vector *d_energy=NULL)

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	AssemblePAInteriorFaces (const FiniteElementSpace &fes)

virtual void	AssemblePABoundaryFaces (const FiniteElementSpace &fes)

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

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

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

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

virtual void	AssembleFaceMatrix (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &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. 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	~BilinearFormIntegrator ()

Public Member Functions inherited from mfem::NonlinearFormIntegrator
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 &irule)
	Prescribe a fixed IntegrationRule to use. More...

virtual void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the NonlinearFormIntegrator resulting from a face integral term. More...

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

virtual	~NonlinearFormIntegrator ()

Protected Attributes
double	q_lambda

double	q_mu

Coefficient *	lambda

Coefficient *	mu

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

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 linear elasticity form: a(u,v) = (lambda div(u), div(v)) + (2 mu e(u), e(v)), where e(v) = (1/2) (grad(v) + grad(v)^T). This is a 'Vector' integrator, i.e. defined for FE spaces using multiple copies of a scalar FE space.

Definition at line 2424 of file bilininteg.hpp.

Constructor & Destructor Documentation

mfem::ElasticityIntegrator::ElasticityIntegrator	(	Coefficient &	l,
		Coefficient &	m
	)

inline

Definition at line 2438 of file bilininteg.hpp.

mfem::ElasticityIntegrator::ElasticityIntegrator	(	Coefficient &	m,
		double	q_l,
		double	q_m
	)

inline

With this constructor lambda = q_l * m and mu = q_m * m; if dim * q_l + 2 * q_m = 0 then trace(sigma) = 0.

Definition at line 2442 of file bilininteg.hpp.

Member Function Documentation

void mfem::ElasticityIntegrator::AssembleElementMatrix	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		DenseMatrix &	elmat
	)

virtual

Given a particular Finite Element computes the element matrix elmat.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2250 of file bilininteg.cpp.

void mfem::ElasticityIntegrator::ComputeElementFlux	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		Vector &	u,
		const FiniteElement &	fluxelem,
		Vector &	flux,
		bool	with_coef = `true`
	)

virtual

Compute the stress corresponding to the local displacement u and interpolate it at the nodes of the given fluxelem. Only the symmetric part of the stress is stored, so that the size of flux is equal to the number of DOFs in fluxelem times dim*(dim+1)/2. In 2D, the order of the stress components is: s_xx, s_yy, s_xy. In 3D, it is: s_xx, s_yy, s_zz, s_xy, s_xz, s_yz. In other words, flux is the local vector for a FE space with dim*(dim+1)/2 vector components, based on the finite element fluxelem.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2332 of file bilininteg.cpp.

double mfem::ElasticityIntegrator::ComputeFluxEnergy	(	const FiniteElement &	fluxelem,
		ElementTransformation &	Trans,
		Vector &	flux,
		Vector *	d_energy = `NULL`
	)

virtual

Compute the element energy (integral of the strain energy density) corresponding to the stress represented by flux which is a vector of coefficients multiplying the basis functions defined by fluxelem. In other words, flux is the local vector for a FE space with dim*(dim+1)/2 vector components, based on the finite element fluxelem. The number of components, dim*(dim+1)/2 is such that it represents the symmetric part of the (symmetric) stress tensor. The order of the components is: s_xx, s_yy, s_xy in 2D, and s_xx, s_yy, s_zz, s_xy, s_xz, s_yz in 3D.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2408 of file bilininteg.cpp.

Member Data Documentation

Coefficient* mfem::ElasticityIntegrator::lambda

protected

Definition at line 2428 of file bilininteg.hpp.

Coefficient * mfem::ElasticityIntegrator::mu

protected

Definition at line 2428 of file bilininteg.hpp.

double mfem::ElasticityIntegrator::q_lambda

protected

Definition at line 2427 of file bilininteg.hpp.

double mfem::ElasticityIntegrator::q_mu

protected

Definition at line 2427 of file bilininteg.hpp.

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

fem/bilininteg.hpp
fem/bilininteg.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation