GeometricMap - Structure for the geometrical mapping. More...

#include <GeometricMap.hpp>

Inheritance diagram for GeometricMap:

Collaboration diagram for GeometricMap:

Private Attributes
const GeometricMap *	M_boundaryMap

Public Types
typedef ReferenceElement::function_Type	function_Type

Constructor & Destructor
	GeometricMap (std::string name, ReferenceShapes shape, UInt nbDof, UInt nbLocalCoor, const function_Type phi, const function_Type dPhi, const function_Type d2Phi, const Real refCoor, const GeometricMap *bdMap)
	Full Constructor of a geo map. More...

	~GeometricMap ()
	Destructor. More...

Get Methods
const GeometricMap &	boundaryMap () const
	return the natural mapping for the boundary of the element More...

Private Methods
	GeometricMap ()
	No empty constructor. More...

	GeometricMap (const GeometricMap &)
	No copy constructor. More...

Additional Inherited Members
Public Types inherited from ReferenceElement
typedef Real(*	function_Type) (const GeoVector &)

Public Member Functions inherited from ReferenceElement
	ReferenceElement (std::string name, ReferenceShapes shape, UInt nbDof, UInt nbLocalCoor, UInt feDim, const function_Type phi, const function_Type dPhi, const function_Type d2Phi, const function_Type divPhi, const Real *refCoor)
	Full constructor. More...

virtual	~ReferenceElement ()
	Destructor. More...

Real	xi (UInt i) const
	return the first local coordinate of the i-th node of the reference element More...

Real	eta (UInt i) const
	return the second local coordinate of the i-th node of the reference element More...

Real	zeta (UInt i) const
	return the third local coordinate of the i-th node of the reference element More...

Real	refCoor (UInt i, UInt icoor) const
	return the icoor-th local coordinate of the i-th node of the reference element More...

std::vector< GeoVector >	refCoor () const
	return the coordinates of the reference element More...

Real	phi (UInt i, const GeoVector &v) const
	Return the value of the i-th basis function in the point v. More...

Real	phi (UInt i, UInt icoor, const GeoVector &v) const
	return the value of the component icoor-th of the i-th basis function on point v. More...

Real	dPhi (UInt i, UInt icoor, const GeoVector &v) const
	return the value of the icoor-th derivative of the i-th basis function on point v More...

Real	d2Phi (UInt i, UInt icoor, UInt jcoor, const GeoVector &v) const
	return the value of the (icoor,jcoor)-th second derivative of the i-th basis function on point v More...

Real	divPhi (UInt i, const GeoVector &v) const
	return the value of the divergence of the i-th basis function on point v. More...

bool	hasPhi () const
	Check if the refEle has phi functions. More...

bool	hasDPhi () const
	Check if the refEle has dPhi functions. More...

bool	hasD2Phi () const
	Check if the refEle has d2Phi functions. More...

bool	hasDivPhi () const
	Check if the refEle has divPhi functions. More...

virtual std::vector< Real >	nodalToFEValues (const std::vector< Real > &) const
	Method for transforming nodal values into FE values. More...

const std::string &	name () const
	Return the name of the reference element. More...

const UInt &	nbDof () const
	Return the number of degrees of freedom for this reference element. More...

const	LIFEV_DEPRECATED (UInt &) nbCoor() const
	OLD: Return the number of local coordinates. More...

const UInt &	nbLocalCoor () const
	Return the number of local coordinates. More...

const UInt &	feDim () const
	Return the dimension of the FE (scalar vs vectorial FE) More...

const ReferenceShapes &	shape () const
	Return the shape of the element. More...

Real	phi (UInt i, const Real &x, const Real &y, const Real &z) const
	return the value of the i-th basis function on point (x,y,z) More...

Real	phi (UInt i, UInt icoor, const Real &x, const Real &y, const Real &z) const
	return the value of the component icoor-th of the i-th basis function on point (x,y,z). More...

Real	dPhi (UInt i, UInt icoor, const Real &x, const Real &y, const Real &z) const
	return the value of the icoor-th derivative of the i-th basis function on point (x,y,z) More...

Real	d2Phi (UInt i, UInt icoor, UInt jcoor, const Real &x, const Real &y, const Real &z) const
	return the value of the (icoor,jcoor)-th second derivative of the i-th basis function on point (x,y,z) More...

Real	divPhi (UInt i, const Real &x, const Real &y, const Real &z) const
	return the value of the divergence of the i-th basis function on point (x,y,z). More...

Detailed Description

GeometricMap - Structure for the geometrical mapping.

Author: J.-F. Gerbeau

Date: 04/2002

Modified by S. Quinodoz (samue.nosp@m.l.qu.nosp@m.inodo.nosp@m.z@ep.nosp@m.fl.ch, 04.2010)

Definition at line 59 of file GeometricMap.hpp.

Member Typedef Documentation

◆ function_Type

typedef ReferenceElement::function_Type function_Type

Definition at line 67 of file GeometricMap.hpp.

Constructor & Destructor Documentation

◆ GeometricMap() [1/3]

GeometricMap	(	std::string	name,
		ReferenceShapes	shape,
		UInt	nbDof,
		UInt	nbLocalCoor,
		const function_Type *	phi,
		const function_Type *	dPhi,
		const function_Type *	d2Phi,
		const Real *	refCoor,
		const GeometricMap *	bdMap
	)

Full Constructor of a geo map.

Parameters

name	: the name of the f.e.
shape	: the geometry belongs to enum ReferenceShapes {NONE, POINT, LINE, TRIANGLE, QUAD, HEXA, PRISM, TETRA}; (see ElementShapes.h)
nbDof	: the total number of d.o.f.
nbLocalCoor	: number of local coordinates
phi	: the static array containing the basis functions (defined in refEle.h)
dPhi	: the static array containing the derivatives of the basis functions (defined in refEle.h)
d2Phi	: the static array containing the second derivatives of the basis functions (defined in refEle.h)
refCoor	: the static array containing the coordinates of the nodes on the reference element (defined in refEle.h)
bdMap	: a pointer on the natural associated mapping for the boundary of the element

Definition at line 51 of file GeometricMap.cpp.

Here is the caller graph for this function:

◆ ~GeometricMap()

~GeometricMap ( )

Destructor.

Definition at line 59 of file GeometricMap.cpp.

◆ GeometricMap() [2/3]

GeometricMap ( )

private

No empty constructor.

◆ GeometricMap() [3/3]

GeometricMap ( const GeometricMap & )

private

No copy constructor.

Member Function Documentation

◆ boundaryMap()

const GeometricMap& boundaryMap ( ) const

inline

return the natural mapping for the boundary of the element

Definition at line 107 of file GeometricMap.hpp.

Field Documentation

◆ M_boundaryMap

const GeometricMap* M_boundaryMap

private

Definition at line 128 of file GeometricMap.hpp.

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

Private Attributes

Public Types

Constructor & Destructor

Get Methods

Private Methods

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ function_Type

Constructor & Destructor Documentation

◆ GeometricMap() [1/3]

◆ ~GeometricMap()

◆ GeometricMap() [2/3]

◆ GeometricMap() [3/3]

Member Function Documentation

◆ boundaryMap()

Field Documentation

◆ M_boundaryMap