basso::Element Class Reference

Class that defines a basic finite element. More...

#include <Element.h>

List of all members.

Public Types
typedef iArray::const_iterator	const_iterator
typedef iArray::iterator	iterator
Public Member Functions
	Element (int id=0, int part=0, BasisType bt=kNONE)
	Element (int id, int part, BasisType bt, const iArray &nids)
	Element (int id, int part, Basis *bt, const iArray &nids)
	Element (const Element &be)
	~Element ()
Element::const_iterator	begin () const
Element::iterator	begin ()
Element::const_iterator	end () const
Element::iterator	end ()
int	operator[] (int i) const
int	NodeId (int i) const
BasisType	Type () const
BasisShape	Shape () const
int	NumNodes () const
int	NumEdges () const
int	NumFaces () const
int	Dimension () const
int	Order () const
void	ParentCoord (Array< Point > &pts) const
Point	Centroid () const
void	NumNodesOnFaces (iArray &nn_face) const
void	NumNodesOnEdges (iArray &nn_edge) const
void	NodesOnFace (int f, iArray &face_nodeids) const
void	NodesOnEdge (int e, iArray &edge_nodeids) const
void	FaceBasisType (Array< BasisType > &face_basis) const
void	EdgeBasisType (Array< BasisType > &edge_basis) const
void	Quadrature (int p, QuadratureRule &quad) const
void	Na (const Point &p, Array< Numeric > &shapefunct) const
void	Na (Array< Numeric > &shapefunct) const
void	DNa (const Point &p, dense_matrix< Numeric > &shapefunct) const
void	DNa (dense_matrix< Numeric > &shapefunct) const
int	Id () const
int	PartId () const
const iArray &	Connectivity () const
const Basis *	BasisPtr () const
Element &	CopyElement (const Element &elem)
Element &	operator= (const Element &conn1)
Protected Member Functions
void	SetBasis (BasisType bt)
Protected Attributes
int	eid
int	pid
iArray	fConn
Basis *	fBasis
bool	fBasisLocal

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Detailed Description

Class that defines a basic finite element.

Definition at line 34 of file Element.h.

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Constructor & Destructor Documentation

basso::Element::Element	(	int	id = 0,
		int	part = 0,
		BasisType	bt = kNONE
	)			[inline]

constructor from a BasisType. This makes a local insatiation of the Basis

Parameters:

	id	Element id
	part	Part id for the element
	bt	Basis type for the element

Definition at line 49 of file Element.h.

References eid, fBasisLocal, pid, and SetBasis().

basso::Element::Element	(	int	id,
		int	part,
		BasisType	bt,
		const iArray &	nids
	)			[inline]

constructor from a BasisType. This makes a local insatiation of the Basis

Parameters:

	id	Element id
	part	Part id for the element
	bt	Basis type for the element
	nids	an array of node ids

Definition at line 58 of file Element.h.

References eid, fBasisLocal, pid, and SetBasis().

basso::Element::Element	(	int	id,
		int	part,
		Basis *	bt,
		const iArray &	nids
	)			[inline]

constructor from a class derived from the virtual base class Basis. This constructor does NOT create a local insatiation of the Basis. The derived entity

Parameters:

	bt	must exist.
	id	Element id
	part	Part id for the element
	bt	Basis pointer to the Basis to be used for the element
	nids	an array of node ids

Definition at line 69 of file Element.h.

References eid, fBasis, fBasisLocal, and pid.

basso::Element::Element

(

const Element &

be

)

[inline]

copy constructor

Definition at line 73 of file Element.h.

References CopyElement(), and fBasisLocal.

basso::Element::~Element

(

)

[inline]

destructor, deletes Basis if local

Definition at line 76 of file Element.h.

References fBasis, and fBasisLocal.

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Member Function Documentation

int basso::Element::operator[]

(

int

i

)

const [inline]

returns the global node id of the

Parameters:

i

node in the element connectivity.

Definition at line 86 of file Element.h.

References NodeId().

int basso::Element::NodeId

(

int

i

)

const [inline]

returns the global node id of the

Parameters:

i

node in the element connectivity.

Definition at line 91 of file Element.h.

References fConn.

Referenced by operator[]().

BasisType basso::Element::Type

(

)

const [inline]

Returns the basis type

Definition at line 102 of file Element.h.

References fBasis, and basso::Basis::Type().

Referenced by basso::WriteEnsight::ElementName(), basso::operator<<(), and basso::WriteEnsight::WriteElement().

BasisShape basso::Element::Shape

(

)

const [inline]

Returns the element shape

Definition at line 105 of file Element.h.

References fBasis, and basso::Basis::Shape().

int basso::Element::NumNodes

(

)

const [inline]

Returns the number of nodes in the element

Definition at line 108 of file Element.h.

References fBasis, and basso::Basis::NumNodes().

Referenced by basso::operator<<().

int basso::Element::NumEdges

(

)

const [inline]

Returns the number of edges in the element

Definition at line 111 of file Element.h.

References fBasis, and basso::Basis::NumEdges().

int basso::Element::NumFaces

(

)

const [inline]

Returns the number of faces in the element

Definition at line 114 of file Element.h.

References fBasis, and basso::Basis::NumFaces().

int basso::Element::Dimension

(

)

const [inline]

Returns the dimension of the parent element space

Definition at line 117 of file Element.h.

References basso::Basis::Dimension(), and fBasis.

int basso::Element::Order

(

)

const [inline]

Returns the polynomial order of the basis

Definition at line 120 of file Element.h.

References fBasis, and basso::Basis::Order().

void basso::Element::ParentCoord

(

Array< Point > &

pts

)

const [inline]

Returns the parent element coordinates

Definition at line 123 of file Element.h.

References fBasis, and basso::Basis::ParentCoord().

Point basso::Element::Centroid

(

)

const [inline]

Returns the point in parent element coordinates of the element centroid

Definition at line 126 of file Element.h.

References basso::Basis::Centroid(), and fBasis.

void basso::Element::NumNodesOnFaces

(

iArray &

nn_face

)

const [inline]

Returns the number of nodes on the element faces given in canonical order

Definition at line 129 of file Element.h.

References fBasis, and basso::Basis::NumNodesOnFaces().

void basso::Element::NumNodesOnEdges

(

iArray &

nn_edge

)

const [inline]

Returns the number of nodes on the element edges given in canonical order

Definition at line 133 of file Element.h.

References fBasis, and basso::Basis::NumNodesOnEdges().

void basso::Element::NodesOnFace	(	int	f,
		iArray &	face_nodeids
	)			const [inline]

Returns the local node numbers of the nodes on face f

Parameters:

f

The face id

Definition at line 138 of file Element.h.

References fBasis, and basso::Basis::NodesOnFace().

void basso::Element::NodesOnEdge	(	int	e,
		iArray &	edge_nodeids
	)			const [inline]

Returns the local node ids of the nodes on the edge e given in cononical order

Definition at line 141 of file Element.h.

References fBasis, and basso::Basis::NodesOnEdge().

void basso::Element::FaceBasisType

(

Array< BasisType > &

face_basis

)

const [inline]

return geometry of each face in canonical order

Definition at line 144 of file Element.h.

References basso::Basis::FaceBasisType(), and fBasis.

void basso::Element::EdgeBasisType

(

Array< BasisType > &

edge_basis

)

const [inline]

return geometry of each edge in canonical order

Definition at line 147 of file Element.h.

References basso::Basis::EdgeBasisType(), and fBasis.

void basso::Element::Quadrature	(	int	p,
		QuadratureRule &	quad
	)			const [inline]

Compute the quadrature rule to integrate on the Basis ooa polynomial function of order p

Definition at line 150 of file Element.h.

References fBasis, and basso::Basis::Quadrature().

void basso::Element::Na	(	const Point &	p,
		Array< Numeric > &	shapefunct
	)			const [inline]

returns shape function at the point p

Parameters:

p

The point in the parent coordinate space at which the shape function is to be evaluated

Definition at line 155 of file Element.h.

References fBasis, and basso::Basis::Na().

void basso::Element::Na

(

Array< Numeric > &

shapefunct

)

const [inline]

returns shape function at the element centroid

Definition at line 158 of file Element.h.

References fBasis, and basso::Basis::Na().

void basso::Element::DNa	(	const Point &	p,
		dense_matrix< Numeric > &	shapefunct
	)			const [inline]

Compute the gradient of the shape functions w.r.t. the element space at the point p. The derivative is oriented column-wise and the shape funciton id row-wise.

Parameters:

p

The point in the parent coordinate space at which the shape function is to be evaluated.

Definition at line 164 of file Element.h.

References basso::Basis::DNa(), and fBasis.

void basso::Element::DNa

(

dense_matrix< Numeric > &

shapefunct

)

const [inline]

Compute the gradient of the shape functions w.r.t. the element space at the element centroid

Definition at line 167 of file Element.h.

References basso::Basis::DNa(), and fBasis.

int basso::Element::Id

(

)

const [inline]

returns the element id number, this is non-volitile

Definition at line 170 of file Element.h.

References eid.

Referenced by basso::operator<<().

int basso::Element::PartId

(

)

const [inline]

returns the element part id number, this is non-volitile

Definition at line 173 of file Element.h.

References pid.

Referenced by basso::operator<<().

const iArray& basso::Element::Connectivity

(

)

const [inline]

returns the element connectivity, this is non-volitile reference

Definition at line 176 of file Element.h.

References fConn.

Referenced by basso::WriteEnsight::WriteElement().

const Basis* basso::Element::BasisPtr

(

)

const [inline]

returns a constant pointer to the element's Basis

Definition at line 179 of file Element.h.

References fBasis.

Element& basso::Element::CopyElement

(

const Element &

elem

)

[inline]

copies the Basic Element

Parameters:

elem

Definition at line 182 of file Element.h.

References eid, fBasis, fBasisLocal, fConn, pid, SetBasis(), and basso::Basis::Type().

Referenced by Element(), and operator=().

Element& basso::Element::operator=

(

const Element &

conn1

)

[inline]

overload of copy operator

Definition at line 199 of file Element.h.

References CopyElement().

void basso::Element::SetBasis

(

BasisType

bt

)

[protected]

Sets the Basis pointer fBasis depending on the BasisType

Parameters:

bt

given.

Definition at line 214 of file Element.h.

References fBasis, fBasisLocal, basso::kHEXA8, basso::kLINE2, basso::kLINE3, basso::kQUAD4, basso::kQUAD8, basso::kTETRA10, basso::kTETRA4, basso::kTRIA3, and basso::kTRIA6.

Referenced by CopyElement(), and Element().

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

• /Users/jack/Code/basso_dev/inc/Element.h

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