dune-localfunctions  2.2.1
Public Types | List of all members
Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder > Struct Template Reference

Type traits for LocalBasisVirtualInterface. More...

#include <dune/localfunctions/common/localbasis.hh>

Public Types

enum  { dimDomain = n }
 Enum for domain dimension. More...
 
enum  { dimRange = m }
 Enum for range dimension. More...
 
enum  { diffOrder =dorder }
 Enum for differentiability order. More...
 
typedef DF DomainFieldType
 Export type for domain field. More...
 
typedef D DomainType
 domain type More...
 
typedef RF RangeFieldType
 Export type for range field. More...
 
typedef R RangeType
 range type More...
 
typedef J JacobianType
 Type to represent derivative. More...
 

Detailed Description

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
struct Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >

Type traits for LocalBasisVirtualInterface.

A shape function is a function

\[ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m. \]

This traits class holds information how the signature of this function is represented in C++ types.

This is just a convenience class for supplying traits to the LocalBasisVirtualInterface and its implementations.

Template Parameters
DFType to represent the field in the domain.
nDimension of the domain.
DType to represent the domain, allows random access.
RFType to represent the field in the range.
mDimension of the range.
RType to represent the range, allows random access.
JType to represent the Jacobian, allows random access.
dorderMaximal order of implemented partial derivatives

Member Typedef Documentation

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
typedef DF Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::DomainFieldType

Export type for domain field.

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
typedef D Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::DomainType

domain type

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
typedef J Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::JacobianType

Type to represent derivative.

When $ \hat\phi : \mbox{IR}^n \to \mbox{IR}^m $ then JacobianType is an 2D-array of m x n components where entry J[i][j] contains the derivative $\partial_j \hat\phi_i $.

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
typedef RF Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::RangeFieldType

Export type for range field.

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
typedef R Dune::LocalBasisTraits< DF, n, D, RF, m, R, J, dorder >::RangeType

range type

Member Enumeration Documentation

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
anonymous enum

Enum for domain dimension.

Enumerator
dimDomain 

dimension of the domain

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
anonymous enum

Enum for range dimension.

Enumerator
dimRange 

dimension of the range

template<class DF, int n, class D, class RF, int m, class R, class J, int dorder = 0>
anonymous enum

Enum for differentiability order.

Enumerator
diffOrder 

number of partial derivatives supported


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