Eddy-Current Model in 2D in h-formulation. More...

Classes
class	AdaptiveModel
class	Advection
	A function class to calculate element matrices for asymmetric part of the bilinear form for photonic crystals using periodic boundary conditions. More...
class	APrioriGeometricRefinement
	Class for holding a rule for geometric refinement towards edges and vertices. More...
class	APrioriRefinement
	Carries out a-priori given refinements. More...
class	APrioriRefinementNew
class	APrioriRefinementRule
class	APrioriRefinementRuleFactory
	Factory class for a refinement rule. More...
class	APrioriRegularRefinement
	Class for holding a rule for a particular h- and p-refinement until an maximum level and maximum polynomial degree is reached. More...
class	ArrayElementFormula
	Array of formula values on quadrature points. More...
class	BaseQuad
	A base of a 2D quad FEM element for different basis functions. More...
class	BaseQuadGraphics
	Base class for handling graphics for 2D hp quadrilateral FEM elements. More...
class	BilinearFormHelper_0_0
	Helper class for bilinearforms a(u,v), where u and v are 0-forms. More...
class	BilinearFormHelper_0_1
	Helper class for bilinear forms a(u,v) where u is a 0-form and v is a 1-form. More...
class	BilinearFormHelper_0_1_Part
	Helper class for bilinear forms a(u,v) where u is a 0-form and v is a 1-form. More...
class	BilinearFormHelper_1_1
	Helper class for bilinearforms a(u,v), where u and v are 1-forms, which computes intermediate data for element matrix computation. More...
class	BilinearFormHelper_2_2
	Helper class for bilinearforms a(u,v), where u and v are 2-forms. More...
class	BilinearFormOnePartDeriv
	A function class to calculate element matrices for the bilinear form related to a partial derivative of the test functions (scalar). More...
class	BilinearFormTwoPartDeriv
	A function class to calculate element matrices for the bilinear form related to a partial derivative of the trial and (!) test functions (scalar). More...
class	BuildDofsBase
	Responsible to build the degrees of freedom in a space. More...
class	BuildEdgeDofs
	Responsible to build the edge degrees of freedom in a space. More...
class	BuildEdgeDofsError
class	BuildH1EdgeTColumns
	Responsible to build the T columns belonging to edge degrees of freedom in a H1 conforming space with shape functions in tensor product structure. More...
class	BuildH1InnerTColumns
	Responsible to build the T columns belonging to inner degrees of freedom in a H1 conforming space with shape functions in tensor product structure. More...
class	BuildH1InnerTColumnsHypTrunk
	Responsible to build the T columns belonging to inner degrees of freedom in a H1 conforming (trunk) space with shape functions in tensor product structure. More...
class	BuildH1InnerTColumnsLinTrunk
	Responsible to build the T columns belonging to inner degrees of freedom in a H1 conforming (trunk) space with shape functions in tensor product structure. More...
class	BuildH1VtxTColumns
	Responsible to build the T columns belonging to vertex degrees of freedom in a H1 conforming space with shape functions in tensor product structure. More...
class	BuildHCurlEdgeTColumns
	Responsible to build the T columns belonging to edge degrees of freedom in a H(Curl) conforming space with shape functions in tensor product structure. More...
class	BuildHCurlInnerTColumns
	Responsible to build the T columns belonging to inner degrees of freedom in a HCurl conforming space with shape functions in tensor product structure. More...
class	BuildInnerDofs
	Responsible to build the inner degrees of freedom in a space. More...
class	BuildInnerDofsError
class	BuildInnerDofsHypTrunk
	Responsible to build the inner degrees of freedom in a (trunk) space. More...
class	BuildInnerDofsLinTrunk
	Responsible to build the inner degrees of freedom in a (trunk) space. More...
class	BuildTColumnsBase
	Base class for classes for building T columns for elements in a space with help of a 2D space pre builder. More...
class	BuildVertexDofs
	Responsible to build the vertex degrees of freedom in a space. More...
class	BuildVertexDofsError
struct	DegreeDim
	Dimension of the degrees of freedom in a cell. More...
struct	DegreeDim< concepts::InfiniteQuad >
struct	DegreeDim< concepts::Quad >
struct	DegreeDim< concepts::Triangle >
class	DiffussionReaction
class	DistancePost
	A function class for weighted regularization. More...
class	DivDiv
	A function class to calculate element matrices for the Div u*Div v Bilinearform. More...
class	Eddy2D_dissipation
	Local contribution to dissipation power loss. More...
class	Eddy2D_E
	Class for calculating Eddy current problem with Maxwell modell in h formulation. More...
class	Eddy2D_eField
	Electrical field. More...
class	Eddy2D_H
	Class for calculating Eddy current problem with Maxwell modell in h formulation. More...
class	Eddy2D_H_Interior
	Class holding size and magnetic field of embedded (interior) area $\Omega_i$ . More...
class	EdgeGraphics
	Handles graphics for 1D hp FEM elements. More...
class	Element
	Abstract class for a 2D FEM element. More...
class	ElementFormulaEdgeMean
	Element formula for a mean value on edges of elements of an other element formula. More...
class	ElementFormulaInterpGrad
	Element formula for the gradient of an scalar element formula. More...
class	ElementFormulaInterpGrad< F, 2 >
class	ElementFormulaInterpGradN
	Element formula for the gradient of an scalar element formula. More...
class	ElementFormulaInterpGradN< F, 2 >
class	ElementFormulaSignNormalVector
	Element formula on 1D elements based on Edge2d returning the 1.0 if the normal vector is the right one and -1.0 otherwise. More...
class	ElementFunction
	Base class for element functions for hp elements in 2D. More...
class	ElementFunction< 1, F, Q >
class	FormulaFromWeight
	Makes it possible to plot a given `Weight`. More...
class	Grad
	The gradient of the approximated function in a FE space. More...
class	H1Extension
	Continuous extension of a formula on edges, e.g. More...
class	hpAdaptiveSpace
	hp-adaptive space with 2D elements. More...
class	hpAdaptiveSpaceDG
	hp-adaptive FEM space in 2D composed of separate spaces hpAdapativeSpace and may be discontinuous More...
class	hpAdaptiveSpaceH1
class	hpAdaptiveSpaceHCurl
class	hpAdaptiveSpaceHCurl_H1
	Container class for a 2D hp edge element space with an 2D hp nodal element space. More...
class	hpFull
	Helper class for building 2D hp-FEM spaces (space pre builder). More...
class	Identity
	A function class to calculate element matrices for the mass matrix. More...
class	InfiniteLaguerreQuad
	A 2D FEM element: an infinite quad with basis based on Laguerre functions. More...
class	InfiniteQuad
	A 2D FEM element: an infinite quad. More...
class	InfiniteQuadFunctions
	Auxiliary functions for infinite quadrilaterals. More...
class	InfiniteQuadGraphics
	Handles graphics for 2D hp quadrilateral infinite FEM elements. More...
class	InputEddy2D_E
	Helps for reading input parameters for single solving of Eddy2D_E. More...
class	InputEddy2D_H
	Helps for reading input parameters for single solving of Eddy2D_H. More...
class	InputMaxwell2D_E
	Helps for reading input parameters for single solving of Maxwell2D_E. More...
class	InputMaxwell2D_H
	Helps for reading input parameters for single solving of Maxwell2D_H. More...
class	InputModels
	Helps for reading input parameters for single solving with Models. More...
class	IntegrableQuad
	Class holding the quadrature rule and the cell of a quadrilateral element. More...
class	Laplace
	A function class to calculate element matrices for the Laplacian. More...
class	LaplaceBase
	Base class to calculate element matrices for the Laplacian, for both scalar and matrix formulas. More...
class	LaplaceMatrix
	A function class to calculate element matrices for the Laplacian for matrix formulas. More...
class	LinearFormHelper_0
	Helper class for linearforms l(v), where v is a 0-form. More...
class	LinearFormHelper_1
	Helper class for linearforms l(v), where v is a one form. More...
class	MatrixNotBuilt
	Indicates that a needed matrix wasn't build yet. More...
class	Maxwell2D_dissipation
	Local contribution to dissipation power loss. More...
class	Maxwell2D_E
	Class for calculating Eddy current problem with Maxwell modell in e-formulation. More...
class	Maxwell2D_eField
	Electrical field. More...
class	Maxwell2D_H
	Class for calculating Eddy current problem with Maxwell modell in h formulation. More...
class	Maxwell2D_H_Base
	Base class for calculating Eddy current problem with Maxwell modell in h formulation. More...
class	Maxwell2D_H_DD
	Class for calculating Eddy current problem with Maxwell modell in h formulation, with Domain Decomposition. More...
class	Maxwell2D_hField
class	MaxwellSharedData
	Shared data for RotRot and DivDiv. More...
class	ModelNotSolved
	Indicates that a model wasn't solved yet. More...
class	Models
	Base class for 2D models. More...
class	NeumannTrace
	The Neumann trace of the approximated function in a FE space. More...
class	NeumannTraceElement
	Element on an edge representing the normal derivative of neighbouring elements, especially their mean or jump. More...
class	NotConnectedIndex
	Exception class to express that a connected index wasn't found. More...
class	PlCurl
	The vectorial 2D curl of the approximated function in a FE space. More...
class	Poisson2D
	Class for calculating Poisson'equations in 2D. More...
class	PolyEdgeMax
	Edge gets maximal polynomial degree of adjacent cells. More...
class	PolyEdgeMin
	Edge gets minimum of the polynomial degrees of the adjacent cells. More...
class	PolyEdgeMinNeighMaxChild
	First the maximum polynomial degree of both sides of the edge is choosen. More...
class	PolyEdgeRule
	Base class for rules for polynomial degrees of edges. More...
class	Postprocess4
	Computes `x` to the power of 0.4. More...
class	Postprocess7
	Computes `x` to the power of 0.7. More...
class	Postprocess8
	Computes `x` to the power of 0.8. More...
class	Postprocess9
	Computes `x` to the power of 0.9. More...
class	PostprocessSqrt
	Computes to square root of `x`. More...
class	Quad
	A 2D FEM element: a quad. More...
class	QuadEdgeBase
	Static class to construct an element hp2D::Edge out of an hp2D::Quad. More...
class	QuadEdgeFirst
class	QuadEdgeJump
class	QuadEdgeMean
class	QuadFunctions
	Auxiliary functions for quadrilaterals. More...
class	QuadGraphics
	Handles graphics for 2D hp quadrilateral FEM elements. More...
class	QuadShapeFunctions
	A class for holding the shape functions of nodal elements on quadrilaterials for a particular polynomials degree (ie. More...
class	RecomputeShapefct
class	Riesz
	Linear form in 2D. More...
class	RotRot
	A function class to calculate element matrices for the Rot u*Rot v Bilinearform. More...
class	ShapeFunction2D
	Collecting the data of a 2D shape function in one class. More...
class	ShortestDist
	A function class for weighted regularization, which returns the square of the shortest distance of a point to the singular vertices. More...
class	SingularSet
	Class for handling a set of singular vertices. More...
class	SingularVertex
	Class for storing a singular vertex with the coordinates. More...
class	Space
	A 2D hp FEM space with continuous, piecewise polynomial basis functions. More...
class	SpacePreBuilder
	Exception class to express that an inquired dof is not valid. More...
class	SumFactorization
	Sum factorization for an element matrix. More...
class	ThinSheetQuad
	2D FE element based inside a thin sheet on quadrilateral cell. More...
class	ThinSheetSpaceH1
class	Trace
	The Dirichlet trace of the approximated function in a FE space. More...
class	TraceDeriv
	The tangential derivative of the Dirichlet trace of the approximated function in a FE space. More...
class	TraceSpace
	Builds the trace space of an FE space. More...
class	TransmissionWeight
	Weight for the 2D transmission problem. More...
class	TransmissionWeightProd
	Weight for the 2D transmission problem. More...
class	TrivialWeight
	A function class for trivial (constant equal 1.0) weight function. More...
class	Value
	The approximated function in a FE space. More...
Typedefs
typedef concepts::Adaptivity < concepts::Connector, concepts::AdaptiveAdjustP< 2 > >	Adaptivity
typedef hpAdaptiveSpaceDG < hpAdaptiveSpaceH1 >	hpAdaptiveSpaceH1_DG
Enumerations
enum	partDerivType { NO_DERIV = 0, X_DERIV = 1, Y_DERIV = 2 }
	Direction of partial derivative. More...
Functions
hpAdaptiveSpaceH1_DG *	hpAdaptiveSpaceH1_DGFromInput (concepts::Mesh2 &msh, const concepts::InOutParameters input, bool verbose=false)
	Builds and refines a piecewise hp-adaptive H^1-conforming space with use of input parameters.
hpAdaptiveSpaceH1 *	hpAdaptiveSpaceH1FromInput (concepts::Mesh2 &msh, const concepts::InOutParameters input, bool verbose=false)
	Builds and refines a hp-adaptive H^1-conforming space with use of input parameters.
hpAdaptiveSpaceHCurl *	hpAdaptiveSpaceHCurlFromInput (concepts::Mesh2 &msh, const concepts::InOutParameters input, bool verbose=false)
	Builds and refines a hp-adaptive H(curl)-conforming space with use of input parameters.
template<class F >
ShapeFunction2D< F >	makeShapeFunction2D (const Quad< F > &quad)
std::ostream &	operator<< (std::ostream &os, const Postprocess9 &p)
std::ostream &	operator<< (std::ostream &os, const PostprocessSqrt &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess8 &p)
std::ostream &	operator<< (std::ostream &os, const TransmissionWeight &p)
std::ostream &	operator<< (std::ostream &os, const TransmissionWeightProd &p)
std::ostream &	operator<< (std::ostream &os, const TrivialWeight &p)
std::ostream &	operator<< (std::ostream &os, const ShortestDist &p)
template<typename DistClass , typename Function >
std::ostream &	operator<< (std::ostream &os, const DistancePost< DistClass, Function > &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess4 &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess7 &p)
void	refinehpFull (hp2D::hpFull &prebuild, std::string refinement)
	Refines the space prebuilder `prebuild` where the refinement rules are given in the string `refinement`.
template<class F >
void	setupDivDiv (vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &bf, const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type > frm=concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >())
	Function to setup a bilinear form $\int_K f(x)\mathrm{div}\underline{u} \mathrm{div}\underline{v}\mathrm{d}x$ on vectorial spaces.
template<class F >
void	setupIdDiv (vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &bf, const concepts::ElementFormulaContainer< F > frm=concepts::ElementFormulaContainer< F >())
	Function to setup a bilinear form related to the vector Identity, namely.
template<class F >
void	setupIdentity (vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &bf, const concepts::ElementFormulaContainer< F > frm=concepts::ElementFormulaContainer< F >())
	Function to setup a bilinear form related to the vector Identity, namely $\int_K f(x) \underline{u}\cdot\underline{v}\mathrm{d}x$ on vectorial spaces.
template<class F >
void	setupLaplace (vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &bf, const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type > frm=concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >())
	Function to setup a bilinear form related to the vector Laplace, namely $\int_K f(x)\mathrm{grad}\underline{u}:\mathrm{grad}\underline{v}\mathrm{d}x$ on vectorial spaces.
template<class F >
void	setupLinStrainStrain (vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &bf, const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type > frm=concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >())

Detailed Description

Eddy-Current Model in 2D in h-formulation.

Maxwell's equations in 2D in e-formulation.

Eddy current model in 2D in e-formulation (with regularization)

2D hp-FEM for H¹-conforming elements.

Refining of pre-builder classes for 2D spaces.

Poisson's equations in 2D.

Maxwell's equations in 2D in h-formulation.

Kersten Schmidt, 2005

Author:: Kersten Schmidt, 2009

The Space can be built using full tensor product polynomial spaces in the elements or trunk spaces (and much more) by changing the way the degrees of freedom are built in the BuildDofsBase class (and its specializations).

Author:: Philipp Frauenfelder, 2001

Typedef Documentation

typedef concepts::Adaptivity<concepts::Connector, concepts::AdaptiveAdjustP<2> > hp2D::Adaptivity

Definition at line 80 of file spacePreBuilder.hh.

typedef hpAdaptiveSpaceDG<hpAdaptiveSpaceH1> hp2D::hpAdaptiveSpaceH1_DG

Definition at line 67 of file hpAdaptiveSpaceDG.hh.

Enumeration Type Documentation

enum hp2D::partDerivType

Direction of partial derivative.

NO_DERIV no derivative X_DERIV partial derivative in x Y_DERIV partial derivative in y

Enumerator:

NO_DERIV
X_DERIV
Y_DERIV

Definition at line 59 of file bf_partialderiv.hh.

Function Documentation

hpAdaptiveSpaceH1_DG* hp2D::hpAdaptiveSpaceH1_DGFromInput	(	concepts::Mesh2 &	msh,
		const concepts::InOutParameters	input,
		bool	verbose = `false`
	)

Builds and refines a piecewise hp-adaptive H^1-conforming space with use of input parameters.

As input parameter is needed:

      "p" - an integer value for the polynomial degrees.

There may be used the input parameters:

      "refinement"       - string with refinement rules, e.g. "h1|0 in 1 -> v2".
      "dirichl_bdAttrib" - string with attributes of edges with homogeneous Dirichlet boundary condition, e.g. "100; 102"

      "hpAdaptiveSpace_isTrunk" - boolean indicating the use of linear trunk space or not, by default, non trunk space is built.

See also:: refinehpFull

Author:: Kersten Schmidt, 2010

hpAdaptiveSpaceH1* hp2D::hpAdaptiveSpaceH1FromInput	(	concepts::Mesh2 &	msh,
		const concepts::InOutParameters	input,
		bool	verbose = `false`
	)

Builds and refines a hp-adaptive H^1-conforming space with use of input parameters.

As input parameter is needed:

      "p" - an integer value for the polynomial degrees.

There may be used the input parameters:

      "refinement"       - string with refinement rules, e.g. "h1|0 in 1 -> v2".
      "dirichl_bdAttrib" - string with attributes of edges with homogeneous Dirichlet boundary condition, e.g. "100; 102"

      "hpAdaptiveSpace_isTrunk" - boolean indicating the use of linear trunk space or not, by default, non trunk space is built.

See also:: refinehpFull

Author:: Kersten Schmidt, 2009

hpAdaptiveSpaceHCurl* hp2D::hpAdaptiveSpaceHCurlFromInput	(	concepts::Mesh2 &	msh,
		const concepts::InOutParameters	input,
		bool	verbose = `false`
	)

Builds and refines a hp-adaptive H(curl)-conforming space with use of input parameters.

As input parameter is needed:

      "p" - an integer value for the polynomial degrees.

There may be used the input parameters:

      "refinement"       - string with refinement rules, e.g. "h1|0 in 1 -> v2".
      "dirichl_bdAttrib" - string with attributes of edges with homogeneous Dirichlet boundary condition, e.g. "100; 102".

See also:: refinehpFull

Author:: Kersten Schmidt, 2009

template<class F >

ShapeFunction2D<F> hp2D::makeShapeFunction2D ( const Quad< F > & quad )

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const Postprocess9 &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const PostprocessSqrt &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const Postprocess8 &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const TransmissionWeight &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const TransmissionWeightProd &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const TrivialWeight &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const ShortestDist &	p
	)

template<typename DistClass , typename Function >

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const DistancePost< DistClass, Function > &	p
	)		`[inline]`

Definition at line 82 of file shortestDist.hh.

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const Postprocess4 &	p
	)

std::ostream& hp2D::operator<<	(	std::ostream &	os,
		const Postprocess7 &	p
	)

void hp2D::refinehpFull	(	hp2D::hpFull &	prebuild,
		std::string	refinement
	)

Refines the space prebuilder prebuild where the refinement rules are given in the string refinement.

The string can consist of several refinement rules of the following form separated by commas, e.g. "p5, h3", which are applied one after the other.

There are the following refinement strategies.

      "p"    - uniform polynomal degree enhancement (p-refinement)
      "h"    - uniform refinement of the cells (h-refinement) or 
               h-refinement towards edges or vertices
      "hp"   - geometrical hp-refinement towards edges or vertices

Each refinement strategy can be complemented with numbers.

      "p5"   - polynomial degrees are enhanced by 5
      "p2|1" - polynomial degree is first local direction of the quadrilateral
               is enhanced by 2, in the other direction by 1
      "h2"   - twice uniform refinement of the cells
      "h2|1" - twice uniform refinement of the cells in first local direction
               and a single refinement in the other direction
      "hp2"  - twice geometrical hp-refinement towards edges or vertices

If a number is missing it means a single refinement or polynomial degree enhancement by 1.

Note, that the local directions of the quadrilateral are given by the order of the vertices. The first direction is from the 1st vertex to the 2nd or from the 4th to the 3th.

Each refinement rule can be restricted to a number of cells with a common attribute, e.g. "h in 1" means a uniform refinement in all cells with attribute 1.

For the h- and the hp-refinement rules vertices or edges can be given to which should be refined.

      "h  -> v1"  - h-refinement  toward vertices with attribute 1
      "h  -> e22" - h-refinement  toward edges with attribute 22
      "hp -> v1"  - hp-refinement toward vertices with attribute 1
      "hp -> e22" - hp-refinement toward edges with attribute 22

The cells touching these specified vertices and edges are refinement, and for hp-refinement the polynomial degrees in the other cells are increased by 1.

A combination of restriction towards cells and of refinement towards vertices or edges is possible, e.g. "h1|0 in 1 -> v2".

Author:: Kersten Schmidt, 2009

template<class F >

void hp2D::setupDivDiv	(	vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &	bf,
		const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >	frm = `concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >()`
	)

Function to setup a bilinear form

$\int_K f(x)\mathrm{div}\underline{u} \mathrm{div}\underline{v}\mathrm{d}x$

on vectorial spaces.

template<class F >

void hp2D::setupIdDiv	(	vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &	bf,
		const concepts::ElementFormulaContainer< F >	frm = `concepts::ElementFormulaContainer< F >()`
	)

Function to setup a bilinear form related to the vector Identity, namely.

$\int_K f(x) u \mathrm{div}\underline{v}\mathrm{d}x$

where the test space is a vectorial one.

template<class F >

void hp2D::setupIdentity	(	vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &	bf,
		const concepts::ElementFormulaContainer< F >	frm = `concepts::ElementFormulaContainer< F >()`
	)

Function to setup a bilinear form related to the vector Identity, namely

$\int_K f(x) \underline{u}\cdot\underline{v}\mathrm{d}x$

on vectorial spaces.

template<class F >

void hp2D::setupLaplace	(	vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &	bf,
		const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >	frm = `concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >()`
	)

Function to setup a bilinear form related to the vector Laplace, namely

$\int_K f(x)\mathrm{grad}\underline{u}:\mathrm{grad}\underline{v}\mathrm{d}x$

on vectorial spaces.

template<class F >

void hp2D::setupLinStrainStrain	(	vectorial::BilinearForm< F, typename concepts::Realtype< F >::type > &	bf,
		const concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >	frm = `concepts::ElementFormulaContainer< F, typename concepts::Realtype< F >::type >()`
	)

Classes

Typedefs

Enumerations

Functions

Detailed Description

Typedef Documentation

Enumeration Type Documentation

Function Documentation