#include <Element.hpp>

Inheritance diagram for Element< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for Element< ELEMENT_DIM, SPACE_DIM >:

Public Member Functions
	Element (unsigned index, const std::vector< Node< SPACE_DIM > * > &rNodes, bool registerWithNodes=true)
	Element (const Element &rElement, const unsigned index)
void	RegisterWithNodes ()
void	MarkAsDeleted ()
void	UpdateNode (const unsigned &rIndex, Node< SPACE_DIM > *pNode)
void	ResetIndex (unsigned index)
c_vector< double, SPACE_DIM+1 >	CalculateCircumsphere (c_matrix< double, SPACE_DIM, ELEMENT_DIM > &rJacobian, c_matrix< double, ELEMENT_DIM, SPACE_DIM > &rInverseJacobian)
double	CalculateCircumsphereVolume ()
double	CalculateQuality ()
c_vector< double, 2 >	CalculateMinMaxEdgeLengths ()
c_vector< double, SPACE_DIM+1 >	CalculateInterpolationWeights (const ChastePoint< SPACE_DIM > &rTestPoint)
c_vector< double, SPACE_DIM+1 >	CalculateInterpolationWeightsWithProjection (const ChastePoint< SPACE_DIM > &rTestPoint)
c_vector< double, SPACE_DIM >	CalculateXi (const ChastePoint< SPACE_DIM > &rTestPoint)
bool	IncludesPoint (const ChastePoint< SPACE_DIM > &rTestPoint, bool strict=false)

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class Element< ELEMENT_DIM, SPACE_DIM >

A concrete element class which inherits from AbstractTetrahedralElement.

Definition at line 53 of file Element.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

Element< ELEMENT_DIM, SPACE_DIM >::Element	(	unsigned	index,
		const std::vector< Node< SPACE_DIM > * > &	rNodes,
		bool	registerWithNodes = `true`
	)

Constructor which takes in a vector of nodes.

Parameters:

index	the index of the element in the mesh
rNodes	the nodes owned by the element
registerWithNodes	whether to tell the nodes that they are contained in this element

Definition at line 46 of file Element.cpp.

References Element< ELEMENT_DIM, SPACE_DIM >::RegisterWithNodes().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

Element< ELEMENT_DIM, SPACE_DIM >::Element	(	const Element< ELEMENT_DIM, SPACE_DIM > &	rElement,
		const unsigned	index
	)

"Copy" constructor which allows a new index to be specified.

Parameters:

rElement	an element to copy
index	the index of the new element

Definition at line 56 of file Element.cpp.

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM+1 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateCircumsphere	(	c_matrix< double, SPACE_DIM, ELEMENT_DIM > &	rJacobian,
		c_matrix< double, ELEMENT_DIM, SPACE_DIM > &	rInverseJacobian
	)

Calculate the circumsphere/circumcircle of this element.

After reconstructing a cylindrical 2d mesh, the Jacobian data of the periodic elements is not valid anymore. We want to use the jacobians computed before swapping the nodes.

Returns:: a vector containing x_centre, y_centre,...,radius^2

Parameters:

rJacobian	the Jacobian matrix
rInverseJacobian	the inverse Jacobian matrix

Definition at line 118 of file Element.cpp.

Referenced by MutableMesh< ELEMENT_DIM, SPACE_DIM >::CheckIsVoronoi().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double Element< ELEMENT_DIM, SPACE_DIM >::CalculateCircumsphereVolume ( )

Get the volume of the circumsphere, or area of the circumcircle, of this element.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM+1 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeights ( const ChastePoint< SPACE_DIM > & rTestPoint )

Calculate the interpolation weights: the vector (1-xi(0)-xi(1)-xi(2), xi(0), xi(1), xi(2)) (in the 3D case) for a given point. (see CalculateXi() documentation)

Parameters:

rTestPoint reference to the point

Definition at line 228 of file Element.cpp.

Referenced by AbstractNonlinearElasticitySolver< DIM >::AssembleOnBoundaryElementForPressureOnDeformedBc(), and CellBasedPdeHandler< DIM >::SolvePdeAndWriteResultsToFile().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM+1 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeightsWithProjection ( const ChastePoint< SPACE_DIM > & rTestPoint )

Calculate the interpolation weights (see CalculateInterpolationWeights() documentation), but if we are not within the element (one or more negative weights), we project onto the element, rather than extrapolating from it.

Parameters:

rTestPoint reference to the point

Calculate the interpolation weights, but if we are not within the element (one or more negative weights), we project onto the element, rather than extrapolating from it.

Definition at line 253 of file Element.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 2 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateMinMaxEdgeLengths ( )

The maximum and minimum edge lengths

Definition at line 203 of file Element.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double Element< ELEMENT_DIM, SPACE_DIM >::CalculateQuality ( )

The quality of a triangle/tetrahedron is the ratio between the volume of the shape and the volume of its circumsphere. This is normalised by dividing through by the Platonic ratio.

Definition at line 163 of file Element.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, SPACE_DIM > Element< ELEMENT_DIM, SPACE_DIM >::CalculateXi ( const ChastePoint< SPACE_DIM > & rTestPoint )

Calculate xi at a given point. These are the values in the canonical element, using the the canonical element coordinate system (relative to node 0), corresponding to the test point in this element. For example, if the test point is node 0, xi=(0,0,0); if node 2, then xi=(0,1,0); if the test point is halfway between nodes 1 and 2 on the edge between then, then xi=(0.5,0.5,0); if the test point is the interior, then xi=(a,b,c), where a,b,c>0 and 1-a-b-c > 0.

Parameters:

rTestPoint reference to the point

Todo:: : #1361 ComputeContainingElements and related methods, and methods called by that down to here, should really take in const c_vector& rather than ChastePoints.

Todo:: #1326 This method shouldn't need a new Jacobian inverse for every Xi

Definition at line 295 of file Element.cpp.

References ChastePoint< DIM >::rGetLocation().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

bool Element< ELEMENT_DIM, SPACE_DIM >::IncludesPoint	(	const ChastePoint< SPACE_DIM > &	rTestPoint,
		bool	strict = `false`
	)

Get whether a given point lies inside this element.

Parameters:

rTestPoint	reference to the point
strict	whether the point must not be too close to an edge/face (defaults to false)

Definition at line 319 of file Element.cpp.

Referenced by MutableMesh< ELEMENT_DIM, SPACE_DIM >::RefineElement().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void Element< ELEMENT_DIM, SPACE_DIM >::MarkAsDeleted ( ) [virtual]

Mark the element as having been removed from the mesh. Also notify nodes in the element that it has been removed.

Implements AbstractElement< ELEMENT_DIM, SPACE_DIM >.

Definition at line 74 of file Element.cpp.

Referenced by MutableMesh< ELEMENT_DIM, SPACE_DIM >::DeleteBoundaryNodeAt().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void Element< ELEMENT_DIM, SPACE_DIM >::RegisterWithNodes ( ) [virtual]

Inform all nodes forming this element that they are in this element.

Implements AbstractElement< ELEMENT_DIM, SPACE_DIM >.

Definition at line 65 of file Element.cpp.

Referenced by AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM >::ConstructFromMesh(), and Element< ELEMENT_DIM, SPACE_DIM >::Element().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void Element< ELEMENT_DIM, SPACE_DIM >::ResetIndex ( unsigned index )

Reset the index of this boundary element in the mesh.

Parameters:

index the new index of the boundary element

Definition at line 104 of file Element.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void Element< ELEMENT_DIM, SPACE_DIM >::UpdateNode	(	const unsigned &	rIndex,
		Node< SPACE_DIM > *	pNode
	)		`[virtual]`

Update node at the given index.

Parameters:

rIndex	is an local index to which node to change
pNode	is a pointer to the replacement node

Update node at the given index

Parameters:

rIndex	is an local index to which node to change
pNode	is a pointer to the replacement node

Implements AbstractElement< ELEMENT_DIM, SPACE_DIM >.

Definition at line 89 of file Element.cpp.

References Node< SPACE_DIM >::AddElement().

Referenced by MutableMesh< ELEMENT_DIM, SPACE_DIM >::RefineElement().

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

mesh/src/common/Element.hpp
mesh/src/common/Element.cpp

Public Member Functions

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM> class Element< ELEMENT_DIM, SPACE_DIM >

Constructor & Destructor Documentation

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class Element< ELEMENT_DIM, SPACE_DIM >