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Raviart-Thomas element of order 0. More...
#include <fe_rt.hh>
Public Member Functions | |
FE_RT0 () | |
Constructor. More... | |
FE_RT0 () | |
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 std::vector< arma::vec::fixed< dim+1 > > | dof_points () const |
virtual | ~FiniteElement () |
Destructor. More... | |
Additional Inherited Members | |
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 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... | |
Raviart-Thomas element of order 0.
The lowest order Raviart-Thomas finite element with linear basis functions and continuous normal components across element sides.