DUNE-FEM (unstable)
Dune::BDFMCubeLocalFiniteElement< D, R, dim, order > Class Template Reference
Brezzi-Douglas-Fortin-Marini finite elements for cubes. More...
#include <dune/localfunctions/brezzidouglasfortinmarini/bdfmcube.hh>
Public Member Functions | |
BDFMCubeLocalFiniteElement () | |
Standard constructor. | |
BDFMCubeLocalFiniteElement (std::bitset< 2 *dim > s) | |
Make set number s, where 0 <= s < 2^(2*dim) More... | |
unsigned int | size () const |
Number of shape functions in this finite element. | |
Detailed Description
template<class D, class R, unsigned int dim, unsigned int order>
class Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >
class Dune::BDFMCubeLocalFiniteElement< D, R, dim, order >
Brezzi-Douglas-Fortin-Marini finite elements for cubes.
Brezzi-Douglas-Fortin-Marini (BDFM) finite elements are reduced Brezzi-Douglas-Marini (BDM) finite elements, where the order of the normal traces is lowered by one.
On a quadrilateral K the BDFM element is given by
\(BDFM_k = (P_k(K)\setminus\{y^k\})\times(P_k(K)\setminus\{x^k\})\quad(k\geq1)\)
The BDFM1 element is identical to the RT0 element.
For further reading see Brezzi, Fortin "Mixed and Hybrid Finite Element Methods" (1991), Chapter III Section 3
- Template Parameters
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D Type to represent the field in the domain. R Type to represent the field in the range. dim dimension of the reference elements, must be >= 2. order order of the element, must be >= 1.
Constructor & Destructor Documentation
◆ BDFMCubeLocalFiniteElement()
template<class D , class R , unsigned int dim, unsigned int order>
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inline |
Make set number s, where 0 <= s < 2^(2*dim)
- Parameters
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s Edge orientation indicator
The documentation for this class was generated from the following file:
- dune/localfunctions/brezzidouglasfortinmarini/bdfmcube.hh
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