#include <finite_element.hh>
Public Member Functions | |
| Dof (unsigned int dim_, unsigned int n_face_idx_, arma::vec coords_, arma::vec coefs_, DofType type_) | |
| template<class FS > | |
| double | evaluate (const FS &function_space, unsigned int basis_idx) const |
| Evaulate dof for basis function of given function space. More... | |
Public Attributes | |
| unsigned int | dim |
| Association to n-face of given dimension (point, line, triangle, tetrahedron. More... | |
| unsigned int | n_face_idx |
| Index of n-face to which the dof is associated. More... | |
| arma::vec | coords |
| Barycentric coordinates. More... | |
| arma::vec | coefs |
| Coefficients of linear combination of function value components. More... | |
| DofType | type |
Detailed Description
Class Dof is a general description of functionals (degrees of freedom) determining the finite element. We assume that the Dof is defined as a linear combination of components of function value at a given point:
Dof_value = a_1.f_1(x) + ... + a_n.f_n(x),
where (a_1, ... , a_n) are given by coefs, x is the support point given by barycentric coords and (f_1, ..., f_n) is a generally vector-valued function. For the simplest Dof, i.e. value of a scalar function at point p, we set
coords = p, coefs = { 1 }. The member dim denotes the affiliation of Dof to n-face: Nodal dofs have dim = 0, Dofs on lines: dim = 1, Dofs on triangles: dim = 2, Dofs in tetrahedron: dim = 3. It means that when a node, line or triangle is shared by adjacent cells, also the Dofs on this n-face are shared by the cells. Therefore for DG finite elements we set for all dofs the highest possible dimension.
The class implements the method evaluate() which computes the Dof value for a basis function from given FunctionSpace.
Definition at line 70 of file finite_element.hh.
Constructor & Destructor Documentation
|
inline |
Definition at line 73 of file finite_element.hh.
Member Function Documentation
| double Dof::evaluate | ( | const FS & | function_space, |
| unsigned int | basis_idx | ||
| ) | const |
Evaulate dof for basis function of given function space.
Definition at line 34 of file finite_element.cc.
Member Data Documentation
| arma::vec Dof::coefs |
Coefficients of linear combination of function value components.
Definition at line 101 of file finite_element.hh.
| arma::vec Dof::coords |
Barycentric coordinates.
Definition at line 98 of file finite_element.hh.
| unsigned int Dof::dim |
Association to n-face of given dimension (point, line, triangle, tetrahedron.
Definition at line 92 of file finite_element.hh.
| unsigned int Dof::n_face_idx |
Index of n-face to which the dof is associated.
Definition at line 95 of file finite_element.hh.
| DofType Dof::type |
Currently we consider only type=Value, possibly we could have Gradient, CellIntegral, FaceIntegral or other types.
Definition at line 107 of file finite_element.hh.
The documentation for this class was generated from the following files:
- /opt/flow123d/flow123d/src/fem/finite_element.hh
- /opt/flow123d/flow123d/src/fem/finite_element.cc
