Element< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <Element.hpp>

Inheritance diagram for Element< ELEMENT_DIM, SPACE_DIM >:

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Collaboration diagram for Element< ELEMENT_DIM, SPACE_DIM >:

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List of all members.

Public Member Functions

 Element (unsigned index, const std::vector< Node< SPACE_DIM > * > &rNodes)
 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, 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 46 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 
) [inline]

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

Definition at line 42 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 
) [inline]

"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 49 of file Element.cpp.

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

Member Function Documentation

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

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

Implements AbstractElement< ELEMENT_DIM, SPACE_DIM >.

Definition at line 58 of file Element.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::mIndex, and AbstractElement< ELEMENT_DIM, SPACE_DIM >::mNodes.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void Element< ELEMENT_DIM, SPACE_DIM >::MarkAsDeleted (  )  [inline, 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 67 of file Element.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::mIndex, AbstractElement< ELEMENT_DIM, SPACE_DIM >::mIsDeleted, and AbstractElement< ELEMENT_DIM, SPACE_DIM >::mNodes.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void Element< ELEMENT_DIM, SPACE_DIM >::UpdateNode ( const unsigned &  rIndex,
Node< SPACE_DIM > *  pNode 
) [inline, 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 82 of file Element.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::mIndex, and AbstractElement< ELEMENT_DIM, SPACE_DIM >::mNodes.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void Element< ELEMENT_DIM, SPACE_DIM >::ResetIndex ( unsigned  index  )  [inline]

Reset the index of this boundary element in the mesh.

Parameters:
index the new index of the boundary element

Definition at line 97 of file Element.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::mIndex, AbstractElement< ELEMENT_DIM, SPACE_DIM >::mNodes, and Element< ELEMENT_DIM, SPACE_DIM >::RegisterWithNodes().

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 
) [inline]

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 111 of file Element.cpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation().

Referenced by Element< ELEMENT_DIM, SPACE_DIM >::CalculateQuality(), and 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>
double Element< ELEMENT_DIM, SPACE_DIM >::CalculateQuality (  )  [inline]

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 156 of file Element.cpp.

References Element< ELEMENT_DIM, SPACE_DIM >::CalculateCircumsphere(), and AbstractTetrahedralElement< ELEMENT_DIM, SPACE_DIM >::CalculateInverseJacobian().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM+1 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeights ( const ChastePoint< SPACE_DIM > &  rTestPoint  )  [inline]

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 196 of file Element.cpp.

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

Referenced by Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeightsWithProjection(), Element< ELEMENT_DIM, SPACE_DIM >::IncludesPoint(), and CellBasedSimulationWithPdes< DIM >::SolvePdeUsingCoarseMesh().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM+1 > Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeightsWithProjection ( const ChastePoint< SPACE_DIM > &  rTestPoint  )  [inline]

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 221 of file Element.cpp.

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector< double, SPACE_DIM > Element< ELEMENT_DIM, SPACE_DIM >::CalculateXi ( const ChastePoint< SPACE_DIM > &  rTestPoint  )  [inline]

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

Definition at line 263 of file Element.cpp.

References AbstractTetrahedralElement< ELEMENT_DIM, SPACE_DIM >::CalculateInverseJacobian(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNodeLocation(), and ChastePoint< DIM >::rGetLocation().

Referenced by Element< ELEMENT_DIM, SPACE_DIM >::CalculateInterpolationWeights().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
bool Element< ELEMENT_DIM, SPACE_DIM >::IncludesPoint ( const ChastePoint< SPACE_DIM > &  rTestPoint,
bool  strict = false 
) [inline]

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 287 of file Element.cpp.

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

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

The documentation for this class was generated from the following files:
Generated on Mon Apr 18 11:37:03 2011 for Chaste by  doxygen 1.5.5