Conforming Lagrangean finite element on dim dimensional simplex.
More...
#include <fe_p.hh>
Inheritance diagram for FE_P< degree, dim, spacedim >:
Collaboration diagram for FE_P< degree, dim, spacedim >:
Public Member Functions | |
| FE_P () | |
| Constructor. More... | |
| double | basis_value (const unsigned int i, const arma::vec::fixed< dim > &p) const |
Returns the ith basis function evaluated at the point p. More... | |
| arma::vec::fixed< dim > | basis_grad (const unsigned int i, const arma::vec::fixed< dim > &p) const |
Returns the gradient of the ith basis function at the point p. More... | |
| arma::vec::fixed< dim > | basis_vector (const unsigned int i, const arma::vec::fixed< dim > &p) const |
| The vector variant of basis_value must be implemented but may not be used. More... | |
| arma::mat::fixed< dim, dim > | basis_grad_vector (const unsigned int i, const arma::vec::fixed< dim > &p) const |
| The vector variant of basis_grad must be implemented but may not be used. More... | |
| virtual | ~FE_P () |
 Public Member Functions inherited from FiniteElement< dim, spacedim > | |
| FiniteElement () | |
| Constructor. More... | |
| void | init () |
| Clears all internal structures. More... | |
| const unsigned int | n_dofs () const |
| Returns the number of degrees of freedom needed by the finite element. More... | |
| const unsigned int | n_object_dofs (unsigned int object_dim, DofMultiplicity multiplicity) |
Returns the number of single dofs/dof pairs/triples/sextuples that lie on a single geometric entity of the dimension object_dim. More... | |
| virtual void | compute_node_matrix () |
Initializes the node_matrix for computing the coefficients of the raw basis functions from values at support points. More... | |
| virtual FEInternalData * | initialize (const Quadrature< dim > &q, UpdateFlags flags) |
| Calculates the data on the reference cell. More... | |
| virtual UpdateFlags | update_each (UpdateFlags flags) |
| Decides which additional quantities have to be computed for each cell. More... | |
| virtual void | fill_fe_values (const Quadrature< dim > &q, FEInternalData &data, FEValuesData< dim, spacedim > &fv_data) |
| Computes the shape function values and gradients on the actual cell and fills the FEValues structure. More... | |
| virtual const unsigned int | polynomial_order () const |
| Returns the maximum degree of space of polynomials contained in the finite element space. More... | |
| const bool | is_scalar () const |
| Indicates whether the finite element function space is scalar or vectorial. More... | |
| const std::vector< arma::vec::fixed< dim > > & | get_generalized_support_points () |
| Returns either the generalized support points (if they are defined) or the unit support points. More... | |
| virtual | ~FiniteElement () |
| Destructor. More... | |
Private Attributes | |
| PolynomialSpace< degree, dim > | poly_space |
| The auxiliary polynomial space. More... | |
| DofDistribution< degree, dim > | dof_distribution |
| The auxiliary dof distribution. More... | |
Additional Inherited Members | |
| Protected Attributes inherited from FiniteElement< dim, spacedim > | |
| unsigned int | number_of_dofs |
| Total number of degrees of freedom at one finite element. More... | |
| unsigned int | number_of_single_dofs [dim+1] |
| Number of single dofs at one geometrical entity of the given dimension (point, line, triangle, tetrahedron). More... | |
| unsigned int | number_of_pairs [dim+1] |
| Number of pairs of dofs at one geometrical entity of the given dimension (applicable to lines and triangles). More... | |
| unsigned int | number_of_triples [dim+1] |
| Number of triples of dofs associated to one triangle. More... | |
| unsigned int | number_of_sextuples [dim+1] |
| Number of sextuples of dofs associated to one triangle. More... | |
| unsigned int | order |
| Polynomial order - to be possibly used in hp methods. More... | |
| bool | is_scalar_fe |
| Indicator of scalar versus vectorial finite element. More... | |
| arma::mat | node_matrix |
| Matrix that determines the coefficients of the raw basis functions from the values at the support points. More... | |
| std::vector< arma::vec::fixed< dim > > | unit_support_points |
| Support points for Lagrangean finite elements. More... | |
| std::vector< arma::vec::fixed< dim > > | generalized_support_points |
| Support points for non-Lagrangean finite elements. More... | |
Detailed Description
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
class FE_P< degree, dim, spacedim >
Conforming Lagrangean finite element on dim dimensional simplex.
The finite element functions are continuous across the interfaces.
Constructor & Destructor Documentation
Member Function Documentation
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
virtual |
Returns the gradient of the ith basis function at the point p.
- Parameters
-
i Number of the basis function. p Point of evaluation.
Implements FiniteElement< dim, spacedim >.
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
virtual |
The vector variant of basis_grad must be implemented but may not be used.
Implements FiniteElement< dim, spacedim >.
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
virtual |
Returns the ith basis function evaluated at the point p.
- Parameters
-
i Number of the basis function. p Point of evaluation.
Implements FiniteElement< dim, spacedim >.
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
virtual |
The vector variant of basis_value must be implemented but may not be used.
Implements FiniteElement< dim, spacedim >.
Member Data Documentation
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
private |
template<unsigned int degree, unsigned int dim, unsigned int spacedim>
|
private |
The documentation for this class was generated from the following file:
- /opt/flow123d/flow123d/src/fem/fe_p.hh
