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Sundance::Lagrange Class Reference

#include <Lagrange.h>

Inheritance diagram for Sundance::Lagrange:

List of all members.

Public Methods

User-level methods

• Lagrange (int order)

  Create a Lagrange basis of a given order.
  
  

Developer-only methods

• Lagrange (const XMLObject &object)

  construct from an XML specification
  
  

• virtual void setNodeNumbers (const Cell &cell, const TSFArray< int > &funcID, TemporaryMapper &tmpMap) const

  assign DOF numbers for a set of function IDs on a specified cell
  
  

• virtual void getNodeNumbers (const Cell &cell, const TSFArray< int > &funcID, TemporaryMapper &tmpMap, TSFArray< TSFArray< int > > &indices) const

  get the DOF numbers for a set of function IDs on a specified cell
  
  

• virtual void getFacetDOFs (const Cell &c, int facetDim, int facetIndex, const TSFArray< int > &maximalDOFs, TSFArray< int > &facetDOFs) const

  find the DOF list for one of the facets of a specified cell
  
  

• virtual void getNodalPoints (const Cell &cell, const TSFArray< bool > &activeNodes, TSFArray< Point > &evalPoints) const

  Find the points at the nodes.
  
  

Protected Methods

• virtual int nNodesOnLine () const

  get number of nodes for a line cell
  
  

• virtual int nNodesOnTriangle () const

  get number of nodes for a triangle cell
  
  

• virtual int nNodesOnQuad () const

  get number of nodes for a quad cell
  
  

• virtual int nNodesOnTet () const

  get number of nodes for a tet cell
  
  

• virtual int nNodesOnBrick () const

  get number of nodes for a brick cell
  
  

• virtual void evalOnLine (const Point &pt, const MultiIndex &deriv, DenseSerialVector &result) const

  evaluate on a line cell
  
  

• virtual void evalOnTriangle (const Point &pt, const MultiIndex &deriv, DenseSerialVector &result) const

  evaluate on a triangle cell
  
  

• virtual void evalOnQuad (const Point &pt, const MultiIndex &deriv, DenseSerialVector &result) const

  evaluate on a quad cell
  
  

• virtual void evalOnTet (const Point &pt, const MultiIndex &deriv, DenseSerialVector &result) const

  evaluate on a tet cell
  
  

• virtual void evalOnBrick (const Point &pt, const MultiIndex &deriv, DenseSerialVector &result) const

  evaluate on a brick cell
  
  

Related Functions

(Note that these are not member functions.)

• BasisFamilyBase * createXMLLagrange (const XMLObject &xml)

  create from an XML specification
  
  

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Detailed Description

Symbolic, geometry-independent representation of Lagrange basis functions.

Definition at line 22 of file Lagrange.h.

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Constructor & Destructor Documentation

Sundance::Lagrange::Lagrange (  int    order )

Sundance::Lagrange::Lagrange (  const XMLObject &    object )

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Member Function Documentation

virtual void Sundance::Lagrange::setNodeNumbers (  const Cell &    cell, const TSFArray< int > &    funcID, TemporaryMapper &    tmpMap )  const [virtual]

Implements Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::getNodeNumbers (  const Cell &    cell, const TSFArray< int > &    funcID, TemporaryMapper &    tmpMap, TSFArray< TSFArray< int > > &    indices )  const [virtual]

Implements Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::getFacetDOFs (  const Cell &    c, int    facetDim, int    facetIndex, const TSFArray< int > &    maximalDOFs, TSFArray< int > &    facetDOFs )  const [virtual]

Implements Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::getNodalPoints (  const Cell &    cell, const TSFArray< bool > &    activeNodes, TSFArray< Point > &    evalPoints )  const [virtual]

Some points may have been processed already and are marked as inactive with the bool array. Inactive points are not returned. Reimplemented from Sundance::BasisFamilyBase.

virtual int Sundance::Lagrange::nNodesOnLine (    )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual int Sundance::Lagrange::nNodesOnTriangle (    )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual int Sundance::Lagrange::nNodesOnQuad (    )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual int Sundance::Lagrange::nNodesOnTet (    )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual int Sundance::Lagrange::nNodesOnBrick (    )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::evalOnLine (  const Point &    pt, const MultiIndex &    deriv, DenseSerialVector &    result )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::evalOnTriangle (  const Point &    pt, const MultiIndex &    deriv, DenseSerialVector &    result )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::evalOnQuad (  const Point &    pt, const MultiIndex &    deriv, DenseSerialVector &    result )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::evalOnTet (  const Point &    pt, const MultiIndex &    deriv, DenseSerialVector &    result )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

virtual void Sundance::Lagrange::evalOnBrick (  const Point &    pt, const MultiIndex &    deriv, DenseSerialVector &    result )  const [protected, virtual]

Reimplemented from Sundance::BasisFamilyBase.

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Friends And Related Function Documentation

BasisFamilyBase * createXMLLagrange (  const XMLObject &    xml )  [related]

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

• Lagrange.h

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Contact:

Kevin Long (krlong@ca.sandia.gov)


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