Conforming Lagrangean finite element on dim dimensional simplex.
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#include <fe_p.hh>
Inheritance diagram for FE_P< dim >:
Collaboration diagram for FE_P< dim >:
Public Member Functions | |
| FE_P (unsigned int degree) | |
| Constructor. More... | |
 Public Member Functions inherited from FiniteElement< dim > | |
| FiniteElement () | |
| Constructor. More... | |
| unsigned int | n_dofs () const |
| Returns the number of degrees of freedom needed by the finite element. More... | |
| double | shape_value (const unsigned int i, const arma::vec::fixed< dim > &p, const unsigned int comp=0) const |
Calculates the value of the comp-th component of the i-th shape function at the point p on the reference element. More... | |
| arma::vec::fixed< dim > | shape_grad (const unsigned int i, const arma::vec::fixed< dim > &p, const unsigned int comp=0) const |
Calculates the comp-th component of the gradient of the i-th shape function at the point p on the reference element. More... | |
| unsigned int | n_components () const |
| Returns numer of components of the basis function. More... | |
| const Dof & | dof (unsigned int i) const |
Returns i -th degree of freedom. More... | |
| unsigned int | n_space_components (unsigned int spacedim) |
Number of components of FE in a mapped space with dimension spacedim. More... | |
| virtual | ~FiniteElement () |
| Destructor. More... | |
Protected Member Functions | |
| void | init_dofs () |
| Protected Member Functions inherited from FiniteElement< dim > | |
| void | init (bool primitive=true, FEType type=FEScalar) |
| Clears all internal structures. More... | |
| void | setup_components () |
| Initialize vectors with information about components of basis functions. More... | |
| virtual UpdateFlags | update_each (UpdateFlags flags) |
| Decides which additional quantities have to be computed for each cell. More... | |
| virtual void | compute_node_matrix () |
Initializes the node_matrix for computing the coefficients of the shape functions in the raw basis of functions_space_. This is done by evaluating the dofs_ for the basis function and by inverting the resulting matrix. More... | |
| bool | is_primitive () const |
| Indicates whether the basis functions have one or more nonzero components (scalar FE spaces are always primitive). More... | |
| unsigned int | system_to_component_index (unsigned sys_idx) const |
| Returns the component index for vector valued finite elements. More... | |
| const std::vector< bool > & | get_nonzero_components (unsigned int sys_idx) const |
| Returns the mask of nonzero components for given basis function. More... | |
Protected Attributes | |
| unsigned int | degree_ |
| Maximum degree of polynomials. More... | |
| Protected Attributes inherited from FiniteElement< dim > | |
| FEType | type_ |
| Type of FiniteElement. More... | |
| bool | is_primitive_ |
| Primitive FE is using componentwise shape functions, i.e. only one component is nonzero for each shape function. More... | |
| std::vector< unsigned int > | component_indices_ |
| Indices of nonzero components of shape functions (for primitive FE). More... | |
| std::vector< std::vector< bool > > | nonzero_components_ |
| Footprints of nonzero components of shape functions. More... | |
| arma::mat | node_matrix |
| Matrix that determines the coefficients of the raw basis functions from the values at the support points. More... | |
| std::shared_ptr< FunctionSpace > | function_space_ |
| Function space defining the FE. More... | |
| std::vector< Dof > | dofs_ |
| Set of degrees of freedom (functionals) defining the FE. More... | |
Detailed Description
template<unsigned int dim>
class FE_P< dim >
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 dim>
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protected |
Member Data Documentation
template<unsigned int dim>
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protected |
The documentation for this class was generated from the following files:
