3D hp-FEM for H¹-conforming elements. More...

Classes
class	APrioriRefinement
	Carries out a-priori given refinements. 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	BuildFaceDofs
	Responsible to build the face degrees of freedom in a space. More...
class	BuildFaceDofsHypTrunk
	Responsible to build the inner degrees of freedom in a (trunk) space. More...
class	BuildFaceDofsLinTrunk
	Responsible to build the face degrees of freedom in a (trunk) space. More...
class	BuildInnerDofs
	Responsible to build the inner degrees of freedom in a space. More...
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	BuildVertexDofs
	Responsible to build the vertex degrees of freedom in a space. More...
class	DaugeWeight
	Weight implemented by Monique Dauge in Melina. More...
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	Element
	Abstract class for a 3D FEM element. More...
class	FormulaFromWeight
	Makes it possible to plot a given `Weight`. More...
class	Hexahedron
	A 3D FEM element: a hexahedron. More...
class	HexahedronGraphics
	Handles graphics for hexahedral 3D hp FEM elements. More...
class	HexFunctions
	Auxiliary functions for hexahedra. More...
class	Hook
	A function class to calculate element matrices for the Bilinearform of linear Elasticity. More...
class	Identity
	A function class to calculate element matrices for the mass matrix. More...
class	Laplace
	A function class to calculate element matrices for the Laplacian. More...
class	MaxwellSharedData
	Shared data for RotRot and DivDiv. More...
class	Postprocess14
	Computes `x` to the power of 1/4. More...
class	Postprocess3
	Computes `x` to the power of 3. More...
class	Postprocess34
	Computes `x` to the power of 3/4. More...
class	Postprocess4
	Computes `x` to the power of 4. More...
class	PostprocessRoot
	Returns the square root of `x`. More...
class	PostprocessRoot4
	Returns the forth root of `x`. More...
class	PostprocessSquare
	Squares the given `x`. More...
class	ProductOfAll
	Computes the product of all distances in the singular set `singularities`. More...
class	RefineOrRaise
	Refines element or raises its polynomial degree. More...
class	Riesz
	Linear form in 3D. More...
class	RotRot
	A function class to calculate element matrices for the Rot u*Rot v Bilinearform. More...
class	ShapeFunction3D
	Collecting the data of a 3D 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 edges and vertices. More...
class	ShortestDistLimited
	A function class for weighted regularization, which returns the minimum of a value and the square of the shortest distance of a point to the singular edges and vertices. More...
class	SingularEdge
	Class for storing a singular edge with coordinates of its corners. More...
class	SingularSet
	Class for handling a set of singular edges and vertices. More...
class	SingularVertex
	Class for storing a singular vertex with the coordinates. More...
class	Space
	A 3D hp FEM space with continuous, picewise polynomial basis functions. More...
class	SpaceTransition
	Maps a solution vector from one space to another. More...
class	SumFactorization
	Sum factorization for an element matrix. More...
class	TransitionPair
	Element pair for the `SpaceTransition`. More...
class	TrivialWeight
	A function class for trivial (constant equal 1.0) weight function. More...
class	ZeroTangentialValue
	Sets the outer product of the coefficients and the normal vector to zero in every node on an edge with chosen attribute. More...
Functions
std::ostream &	operator<< (std::ostream &os, const TrivialWeight &p)
std::ostream &	operator<< (std::ostream &os, const ShortestDistLimited &p)
std::ostream &	operator<< (std::ostream &os, const DaugeWeight &p)
std::ostream &	operator<< (std::ostream &os, const ProductOfAll &p)
template<typename DistClass , typename Function >
std::ostream &	operator<< (std::ostream &os, const DistancePost< DistClass, Function > &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess3 &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess4 &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess14 &p)
std::ostream &	operator<< (std::ostream &os, const Postprocess34 &p)
std::ostream &	operator<< (std::ostream &os, const PostprocessRoot4 &p)
std::ostream &	operator<< (std::ostream &os, const PostprocessRoot &p)
std::ostream &	operator<< (std::ostream &os, const PostprocessSquare &p)
std::ostream &	operator<< (std::ostream &os, const ShortestDist &p)

Detailed Description

3D hp-FEM for H¹-conforming elements.

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

Todo:: Three dimensional hp-DGFEM in hexahedra for locally refined meshes.

Function Documentation

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const TrivialWeight &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const ShortestDistLimited &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const DaugeWeight &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const ProductOfAll &	p
	)

template<typename DistClass , typename Function >

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const DistancePost< DistClass, Function > &	p
	)		`[inline]`

Definition at line 173 of file shortestDist.hh.

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const Postprocess3 &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const Postprocess4 &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const Postprocess14 &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const Postprocess34 &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const PostprocessRoot4 &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const PostprocessRoot &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const PostprocessSquare &	p
	)

std::ostream& hp3D::operator<<	(	std::ostream &	os,
		const ShortestDist &	p
	)

Classes

Functions

Detailed Description

Function Documentation