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Calculates finite element data on the actual cell. More...
#include <fe_values.hh>
Public Member Functions | |
FEValues (Mapping< dim, spacedim > &_mapping, Quadrature &_quadrature, FiniteElement< dim > &_fe, UpdateFlags _flags) | |
Constructor. More... | |
void | reinit (ElementAccessor< 3 > &cell) |
Update cell-dependent data (gradients, Jacobians etc.) More... | |
const Quadrature * | get_quadrature () const override |
Returns the quadrature in use. More... | |
Public Member Functions inherited from FEValuesBase< dim, spacedim > | |
FEValuesBase () | |
Default constructor. More... | |
virtual | ~FEValuesBase () |
void | allocate (Mapping< dim, spacedim > &_mapping, unsigned int n_points, FiniteElement< dim > &_fe, UpdateFlags flags) |
Allocates space for computed data. More... | |
UpdateFlags | update_each (UpdateFlags flags) |
Determine quantities to be recomputed on each cell. More... | |
double | shape_value (const unsigned int function_no, const unsigned int point_no) override |
Return the value of the function_no-th shape function at the point_no-th quadrature point. More... | |
arma::vec::fixed< spacedim > | shape_grad (const unsigned int function_no, const unsigned int point_no) override |
Return the gradient of the function_no-th shape function at the point_no-th quadrature point. More... | |
double | shape_value_component (const unsigned int function_no, const unsigned int point_no, const unsigned int comp) const |
Return the value of the function_no-th shape function at the point_no-th quadrature point. More... | |
arma::vec::fixed< spacedim > | shape_grad_component (const unsigned int function_no, const unsigned int point_no, const unsigned int comp) const |
Return the gradient of the function_no-th shape function at the point_no-th quadrature point. More... | |
double | determinant (const unsigned int point_no) |
Return the relative volume change of the cell (Jacobian determinant). More... | |
double | JxW (const unsigned int point_no) override |
Return the product of Jacobian determinant and the quadrature weight at given quadrature point. More... | |
arma::vec::fixed< spacedim > | point (const unsigned int point_no) |
Return coordinates of the quadrature point in the actual cell system. More... | |
vector< arma::vec::fixed< spacedim > > & | point_list () |
Return coordinates of all quadrature points in the actual cell system. More... | |
arma::vec::fixed< spacedim > | normal_vector (unsigned int point_no) override |
Returns the normal vector to a side at given quadrature point. More... | |
const FEValuesViews::Scalar< dim, spacedim > & | scalar_view (unsigned int i) const |
Accessor to scalar values of multicomponent FE. More... | |
const FEValuesViews::Vector< dim, spacedim > & | vector_view (unsigned int i) const |
Accessor to vector values of multicomponent FE. More... | |
const FEValuesViews::Tensor< dim, spacedim > & | tensor_view (unsigned int i) const |
Accessor to tensor values of multicomponent FE. More... | |
unsigned int | n_points () |
Returns the number of quadrature points. More... | |
unsigned int | n_dofs () override |
Returns the number of shape functions. More... | |
FiniteElement< dim > * | get_fe () const |
Returns the finite element in use. More... | |
Mapping< dim, spacedim > * | get_mapping () const |
Returns the mapping in use. More... | |
Public Member Functions inherited from FEValuesSpaceBase< spacedim > | |
virtual | ~FEValuesSpaceBase () |
Private Attributes | |
Quadrature * | quadrature |
The quadrature rule used to calculate integrals. More... | |
Additional Inherited Members | |
Protected Member Functions inherited from FEValuesBase< dim, spacedim > | |
FEInternalData * | init_fe_data (const Quadrature *q) |
Precompute finite element data on reference element. More... | |
void | fill_data (const FEInternalData &fe_data) |
Computes the shape function values and gradients on the actual cell and fills the FEValues structure. More... | |
void | fill_scalar_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for scalar FE. More... | |
void | fill_vec_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for vectorial FE. More... | |
void | fill_vec_contravariant_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for vectorial FE. More... | |
void | fill_vec_piola_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for Raviart-Thomas FE. More... | |
void | fill_tensor_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for tensorial FE. More... | |
void | fill_system_data (const FEInternalData &fe_data) |
Compute shape functions and gradients on the actual cell for mixed system of FE. More... | |
Protected Attributes inherited from FEValuesBase< dim, spacedim > | |
Mapping< dim, spacedim > * | mapping |
The mapping from the reference cell to the actual cell. More... | |
unsigned int | n_points_ |
Number of integration points. More... | |
FiniteElement< dim > * | fe |
The used finite element. More... | |
MappingInternalData * | mapping_data |
Precomputed mapping data. More... | |
FEInternalData * | fe_data |
Precomputed finite element data. More... | |
FEValuesData< dim, spacedim > | data |
Data computed by the mapping and finite element. More... | |
std::vector< std::shared_ptr< FEValuesBase< dim, spacedim > > > | fe_values_vec |
Vector of FEValues for sub-elements of FESystem. More... | |
unsigned int | n_components_ |
Number of components of the FE. More... | |
ViewsCache | views_cache_ |
Auxiliary storage of FEValuesViews accessors. More... | |
Calculates finite element data on the actual cell.
FEValues takes care of the calculation of finite element data on the actual cell such as values of shape functions at quadrature points, gradients of shape functions, Jacobians of the mapping from the reference cell etc.
dim | Dimension of the reference cell. |
spacedim | Dimension of the Euclidean space where the actual cell lives. |
Definition at line 525 of file fe_values.hh.
FEValues< dim, spacedim >::FEValues | ( | Mapping< dim, spacedim > & | _mapping, |
Quadrature & | _quadrature, | ||
FiniteElement< dim > & | _fe, | ||
UpdateFlags | _flags | ||
) |
Constructor.
Initializes structures and calculates cell-independent data.
_mapping | The mapping between the reference and actual cell. |
_quadrature | The quadrature rule. |
_fe | The finite element. |
_flags | The update flags. |
Definition at line 513 of file fe_values.cc.
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inlineoverridevirtual |
Returns the quadrature in use.
Implements FEValuesBase< dim, spacedim >.
Definition at line 552 of file fe_values.hh.
void FEValues< dim, spacedim >::reinit | ( | ElementAccessor< 3 > & | cell | ) |
Update cell-dependent data (gradients, Jacobians etc.)
cell | The actual cell. |
Definition at line 541 of file fe_values.cc.
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private |
The quadrature rule used to calculate integrals.
Definition at line 562 of file fe_values.hh.