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#include <error_estimator.h>
Inheritance diagram for oomph::ElementWithZ2ErrorEstimator:Public Member Functions | |
| ElementWithZ2ErrorEstimator () | |
| Default empty constructor. More... | |
| ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const ElementWithZ2ErrorEstimator &)=delete |
| Broken assignment operator. More... | |
| virtual unsigned | num_Z2_flux_terms ()=0 |
| Number of 'flux' terms for Z2 error estimation. More... | |
| virtual unsigned | ncompound_fluxes () |
| virtual void | get_Z2_flux (const Vector< double > &s, Vector< double > &flux)=0 |
| Z2 'flux' terms for Z2 error estimation. More... | |
| virtual void | compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm) |
| virtual void | get_Z2_compound_flux_indices (Vector< unsigned > &flux_index) |
| virtual unsigned | nvertex_node () const =0 |
| Number of vertex nodes in the element. More... | |
| virtual Node * | vertex_node_pt (const unsigned &j) const =0 |
| virtual unsigned | nrecovery_order ()=0 |
| Order of recovery shape functions. More... | |
| virtual double | geometric_jacobian (const Vector< double > &x) |
| Public Member Functions inherited from oomph::FiniteElement | |
| void | set_dimension (const unsigned &dim) |
| void | set_nodal_dimension (const unsigned &nodal_dim) |
| void | set_nnodal_position_type (const unsigned &nposition_type) |
| Set the number of types required to interpolate the coordinate. More... | |
| void | set_n_node (const unsigned &n) |
| int | nodal_local_eqn (const unsigned &n, const unsigned &i) const |
| double | dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const |
| FiniteElement () | |
| Constructor. More... | |
| virtual | ~FiniteElement () |
| FiniteElement (const FiniteElement &)=delete | |
| Broken copy constructor. More... | |
| virtual bool | local_coord_is_valid (const Vector< double > &s) |
| Broken assignment operator. More... | |
| virtual void | move_local_coord_back_into_element (Vector< double > &s) const |
| void | get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const |
| virtual void | local_coordinate_of_node (const unsigned &j, Vector< double > &s) const |
| virtual void | local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction) |
| virtual double | local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i) |
| virtual void | set_macro_elem_pt (MacroElement *macro_elem_pt) |
| MacroElement * | macro_elem_pt () |
| Access function to pointer to macro element. More... | |
| void | get_x (const Vector< double > &s, Vector< double > &x) const |
| void | get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) |
| virtual void | get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const |
| virtual void | get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x) |
| virtual void | set_integration_scheme (Integral *const &integral_pt) |
| Set the spatial integration scheme. More... | |
| Integral *const & | integral_pt () const |
| Return the pointer to the integration scheme (const version) More... | |
| virtual void | shape (const Vector< double > &s, Shape &psi) const =0 |
| virtual void | shape_at_knot (const unsigned &ipt, Shape &psi) const |
| virtual void | dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const |
| virtual void | dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const |
| virtual void | d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const |
| virtual void | d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const |
| virtual double | J_eulerian (const Vector< double > &s) const |
| virtual double | J_eulerian_at_knot (const unsigned &ipt) const |
| void | check_J_eulerian_at_knots (bool &passed) const |
| void | check_jacobian (const double &jacobian) const |
| double | dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const |
| virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const |
| virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const |
| double | d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |
| virtual double | d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |
| virtual void | assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual void | describe_local_dofs (std::ostream &out, const std::string ¤t_string) const |
| virtual void | describe_nodal_local_dofs (std::ostream &out, const std::string ¤t_string) const |
| virtual void | assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt) |
| Node *& | node_pt (const unsigned &n) |
| Return a pointer to the local node n. More... | |
| Node *const & | node_pt (const unsigned &n) const |
| Return a pointer to the local node n (const version) More... | |
| unsigned | nnode () const |
| Return the number of nodes. More... | |
| virtual unsigned | nnode_1d () const |
| double | raw_nodal_position (const unsigned &n, const unsigned &i) const |
| double | raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | raw_dnodal_position_dt (const unsigned &n, const unsigned &i) const |
| double | raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const |
| double | raw_nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | nodal_position (const unsigned &n, const unsigned &i) const |
| double | nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | dnodal_position_dt (const unsigned &n, const unsigned &i) const |
| Return the i-th component of nodal velocity: dx/dt at local node n. More... | |
| double | dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const |
| double | nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| virtual void | disable_ALE () |
| virtual void | enable_ALE () |
| virtual unsigned | required_nvalue (const unsigned &n) const |
| unsigned | nnodal_position_type () const |
| bool | has_hanging_nodes () const |
| unsigned | nodal_dimension () const |
| Return the required Eulerian dimension of the nodes in this element. More... | |
| virtual Node * | construct_node (const unsigned &n) |
| virtual Node * | construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
| virtual Node * | construct_boundary_node (const unsigned &n) |
| virtual Node * | construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
| int | get_node_number (Node *const &node_pt) const |
| virtual Node * | get_node_at_local_coordinate (const Vector< double > &s) const |
| double | raw_nodal_value (const unsigned &n, const unsigned &i) const |
| double | raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | nodal_value (const unsigned &n, const unsigned &i) const |
| double | nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
| unsigned | dim () const |
| virtual ElementGeometry::ElementGeometry | element_geometry () const |
| Return the geometry type of the element (either Q or T usually). More... | |
| virtual double | interpolated_x (const Vector< double > &s, const unsigned &i) const |
| Return FE interpolated coordinate x[i] at local coordinate s. More... | |
| virtual double | interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
| virtual void | interpolated_x (const Vector< double > &s, Vector< double > &x) const |
| Return FE interpolated position x[] at local coordinate s as Vector. More... | |
| virtual void | interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const |
| virtual double | interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t) |
| virtual void | interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt) |
| unsigned | ngeom_data () const |
| Data * | geom_data_pt (const unsigned &j) |
| void | position (const Vector< double > &zeta, Vector< double > &r) const |
| void | position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const |
| void | dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt) |
| virtual double | zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const |
| void | interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const |
| void | locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false) |
| virtual void | node_update () |
| virtual void | identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data) |
| virtual void | identify_geometric_data (std::set< Data * > &geometric_data_pt) |
| virtual double | s_min () const |
| Min value of local coordinate. More... | |
| virtual double | s_max () const |
| Max. value of local coordinate. More... | |
| double | size () const |
| virtual double | compute_physical_size () const |
| virtual void | point_output_data (const Vector< double > &s, Vector< double > &data) |
| void | point_output (std::ostream &outfile, const Vector< double > &s) |
| virtual unsigned | nplot_points_paraview (const unsigned &nplot) const |
| virtual unsigned | nsub_elements_paraview (const unsigned &nplot) const |
| void | output_paraview (std::ofstream &file_out, const unsigned &nplot) const |
| virtual void | write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const |
| virtual void | write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const |
| virtual void | write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const |
| virtual unsigned | nscalar_paraview () const |
| virtual void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |
| virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const |
| virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
| virtual std::string | scalar_name_paraview (const unsigned &i) const |
| virtual void | output (std::ostream &outfile) |
| virtual void | output (std::ostream &outfile, const unsigned &n_plot) |
| virtual void | output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const |
| virtual void | output (FILE *file_pt) |
| virtual void | output (FILE *file_pt, const unsigned &n_plot) |
| virtual void | output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
| Output an exact solution over the element. More... | |
| virtual void | output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
| Output a time-dependent exact solution over the element. More... | |
| virtual void | output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const |
| Output a time-dependent exact solution over the element. More... | |
| virtual void | get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const |
| virtual std::string | tecplot_zone_string (const unsigned &nplot) const |
| virtual void | write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const |
| virtual void | write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const |
| virtual unsigned | nplot_points (const unsigned &nplot) const |
| virtual void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| Calculate the norm of the error and that of the exact solution. More... | |
| virtual void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| Calculate the norm of the error and that of the exact solution. More... | |
| virtual void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error) |
| void | integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral) |
| Integrate Vector-valued function over element. More... | |
| void | integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral) |
| Integrate Vector-valued time-dep function over element. More... | |
| virtual void | build_face_element (const int &face_index, FaceElement *face_element_pt) |
| virtual unsigned | self_test () |
| virtual unsigned | get_bulk_node_number (const int &face_index, const unsigned &i) const |
| virtual int | face_outer_unit_normal_sign (const int &face_index) const |
| Get the sign of the outer unit normal on the face given by face_index. More... | |
| virtual unsigned | nnode_on_face () const |
| void | face_node_number_error_check (const unsigned &i) const |
| Range check for face node numbers. More... | |
| virtual CoordinateMappingFctPt | face_to_bulk_coordinate_fct_pt (const int &face_index) const |
| virtual BulkCoordinateDerivativesFctPt | bulk_coordinate_derivatives_fct_pt (const int &face_index) const |
| Public Member Functions inherited from oomph::GeneralisedElement | |
| GeneralisedElement () | |
| Constructor: Initialise all pointers and all values to zero. More... | |
| virtual | ~GeneralisedElement () |
| Virtual destructor to clean up any memory allocated by the object. More... | |
| GeneralisedElement (const GeneralisedElement &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const GeneralisedElement &)=delete |
| Broken assignment operator. More... | |
| Data *& | internal_data_pt (const unsigned &i) |
| Return a pointer to i-th internal data object. More... | |
| Data *const & | internal_data_pt (const unsigned &i) const |
| Return a pointer to i-th internal data object (const version) More... | |
| Data *& | external_data_pt (const unsigned &i) |
| Return a pointer to i-th external data object. More... | |
| Data *const & | external_data_pt (const unsigned &i) const |
| Return a pointer to i-th external data object (const version) More... | |
| unsigned long | eqn_number (const unsigned &ieqn_local) const |
| int | local_eqn_number (const unsigned long &ieqn_global) const |
| unsigned | add_external_data (Data *const &data_pt, const bool &fd=true) |
| bool | external_data_fd (const unsigned &i) const |
| void | exclude_external_data_fd (const unsigned &i) |
| void | include_external_data_fd (const unsigned &i) |
| void | flush_external_data () |
| Flush all external data. More... | |
| void | flush_external_data (Data *const &data_pt) |
| Flush the object addressed by data_pt from the external data array. More... | |
| unsigned | ninternal_data () const |
| Return the number of internal data objects. More... | |
| unsigned | nexternal_data () const |
| Return the number of external data objects. More... | |
| unsigned | ndof () const |
| Return the number of equations/dofs in the element. More... | |
| void | dof_vector (const unsigned &t, Vector< double > &dof) |
| Return the vector of dof values at time level t. More... | |
| void | dof_pt_vector (Vector< double * > &dof_pt) |
| Return the vector of pointers to dof values. More... | |
| void | set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data) |
| void | assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt) |
| void | describe_dofs (std::ostream &out, const std::string ¤t_string) const |
| void | add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt) |
| virtual void | assign_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual void | complete_setup_of_dependencies () |
| virtual void | get_residuals (Vector< double > &residuals) |
| virtual void | get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| virtual void | get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
| virtual void | get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| virtual void | get_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| virtual void | get_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| virtual void | get_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| virtual void | get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product) |
| virtual void | get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector) |
| virtual void | compute_norm (Vector< double > &norm) |
| virtual void | compute_norm (double &norm) |
| virtual unsigned | ndof_types () const |
| virtual void | get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const |
| Public Member Functions inherited from oomph::GeomObject | |
| GeomObject () | |
| Default constructor. More... | |
| GeomObject (const unsigned &ndim) | |
| GeomObject (const unsigned &nlagrangian, const unsigned &ndim) | |
| GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt) | |
| GeomObject (const GeomObject &dummy)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const GeomObject &)=delete |
| Broken assignment operator. More... | |
| virtual | ~GeomObject () |
| (Empty) destructor More... | |
| unsigned | nlagrangian () const |
| Access function to # of Lagrangian coordinates. More... | |
| unsigned | ndim () const |
| Access function to # of Eulerian coordinates. More... | |
| void | set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim) |
| Set # of Lagrangian and Eulerian coordinates. More... | |
| TimeStepper *& | time_stepper_pt () |
| TimeStepper * | time_stepper_pt () const |
| virtual void | position (const double &t, const Vector< double > &zeta, Vector< double > &r) const |
| virtual void | dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const |
| virtual void | d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const |
| virtual void | d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const |
Additional Inherited Members | |
| Public Types inherited from oomph::FiniteElement | |
| typedef void(* | SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &) |
| typedef void(* | UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &) |
| Static Public Attributes inherited from oomph::FiniteElement | |
| static double | Tolerance_for_singular_jacobian = 1.0e-16 |
| Tolerance below which the jacobian is considered singular. More... | |
| static bool | Accept_negative_jacobian = false |
| static bool | Suppress_output_while_checking_for_inverted_elements |
| Static Public Attributes inherited from oomph::GeneralisedElement | |
| static bool | Suppress_warning_about_repeated_internal_data |
| static bool | Suppress_warning_about_repeated_external_data = true |
| static double | Default_fd_jacobian_step = 1.0e-8 |
| Protected Member Functions inherited from oomph::FiniteElement | |
| virtual void | assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const |
| virtual void | assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const |
| virtual void | assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const |
| template<unsigned DIM> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| virtual double | invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| virtual double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const |
| virtual double | local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| virtual void | dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<unsigned DIM> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| virtual void | d_dshape_eulerian_dnodal_coordinates (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<unsigned DIM> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| virtual void | transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |
| void | transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |
| virtual void | transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<unsigned DIM> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<unsigned DIM> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| virtual void | fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian) |
| virtual void | update_before_nodal_fd () |
| virtual void | reset_after_nodal_fd () |
| virtual void | update_in_nodal_fd (const unsigned &i) |
| virtual void | reset_in_nodal_fd (const unsigned &i) |
| void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| Zero-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| One-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| Two-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| Protected Member Functions inherited from oomph::GeneralisedElement | |
| unsigned | add_internal_data (Data *const &data_pt, const bool &fd=true) |
| bool | internal_data_fd (const unsigned &i) const |
| void | exclude_internal_data_fd (const unsigned &i) |
| void | include_internal_data_fd (const unsigned &i) |
| void | clear_global_eqn_numbers () |
| void | add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt) |
| virtual void | assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual void | assign_additional_local_eqn_numbers () |
| int | internal_local_eqn (const unsigned &i, const unsigned &j) const |
| int | external_local_eqn (const unsigned &i, const unsigned &j) |
| virtual void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
| void | fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| virtual void | update_before_internal_fd () |
| virtual void | reset_after_internal_fd () |
| virtual void | update_in_internal_fd (const unsigned &i) |
| virtual void | reset_in_internal_fd (const unsigned &i) |
| virtual void | update_before_external_fd () |
| virtual void | reset_after_external_fd () |
| virtual void | update_in_external_fd (const unsigned &i) |
| virtual void | reset_in_external_fd (const unsigned &i) |
| virtual void | fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
| virtual void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| virtual void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| virtual void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| virtual void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| virtual void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product) |
| virtual void | fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector) |
| Protected Attributes inherited from oomph::FiniteElement | |
| MacroElement * | Macro_elem_pt |
| Pointer to the element's macro element (NULL by default) More... | |
| Protected Attributes inherited from oomph::GeomObject | |
| unsigned | NLagrangian |
| Number of Lagrangian (intrinsic) coordinates. More... | |
| unsigned | Ndim |
| Number of Eulerian coordinates. More... | |
| TimeStepper * | Geom_object_time_stepper_pt |
| Static Protected Attributes inherited from oomph::FiniteElement | |
| static const unsigned | Default_Initial_Nvalue = 0 |
| Default value for the number of values at a node. More... | |
| static const double | Node_location_tolerance = 1.0e-14 |
| static const unsigned | N2deriv [] = {0, 1, 3, 6} |
| Static Protected Attributes inherited from oomph::GeneralisedElement | |
| static DenseMatrix< double > | Dummy_matrix |
| static std::deque< double * > | Dof_pt_deque |
Base class for finite elements that can compute the quantities that are required for the Z2 error estimator.
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inline |
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delete |
Broken copy constructor.
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inlinevirtual |
Plot the error when compared against a given exact flux. Also calculates the norm of the error and that of the exact flux.
Reimplemented in oomph::RefineablePoissonEquations< DIM >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, and oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >.
References OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().
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Return the geometric jacobian (should be overloaded in cylindrical and spherical geometries). Default value one is suitable for Cartesian coordinates
Reimplemented in oomph::RefineableSphericalNavierStokesEquations, oomph::RefineableSphericalAdvectionDiffusionEquations, oomph::RefineableLinearisedAxisymmetricNavierStokesEquations, oomph::RefineableGeneralisedNewtonianAxisymmetricNavierStokesEquations, oomph::RefineableAxisymmetricNavierStokesEquations, oomph::RefineableGeneralisedAxisymAdvectionDiffusionEquations, oomph::RefineableAxisymAdvectionDiffusionEquations, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations.
Referenced by oomph::Z2ErrorEstimator::get_element_errors(), and oomph::Z2ErrorEstimator::get_recovered_flux_in_patch().
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Return the compound flux index of each flux component The default (do nothing behaviour) will mean that all indices remain at the default value zero.
Reimplemented in oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, and RefineableBuoyantQCrouzeixRaviartElement< DIM >.
Referenced by oomph::Z2ErrorEstimator::get_element_errors().
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Z2 'flux' terms for Z2 error estimation.
Implemented in oomph::RefineableYoungLaplaceEquations, oomph::TUnsteadyHeatElement< DIM, NNODE_1D >, oomph::RefineableUnsteadyHeatEquations< DIM >, oomph::TTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableTimeHarmonicLinearElasticityEquations< DIM >, oomph::TTimeHarmonicFourierDecomposedLinearElasticityElement< NNODE_1D >, oomph::RefineableSphericalNavierStokesEquations, oomph::RefineableSphericalAdvectionDiffusionEquations, oomph::RefineableSpaceTimeUnsteadyHeatMixedOrderEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeUnsteadyHeatEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeUnsteadyHeatEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeNavierStokesMixedOrderEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::TPVDElementWithContinuousPressure< DIM >, oomph::TPVDBubbleEnrichedElement< DIM, NNODE_1D >, oomph::TPVDElement< DIM, NNODE_1D >, oomph::RefineablePVDEquationsWithPressure< DIM >, oomph::RefineablePVDEquations< DIM >, oomph::RefineablePolarNavierStokesEquations, oomph::TPoissonElement< DIM, NNODE_1D >, oomph::RefineablePoissonEquations< DIM >, oomph::TPMLTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineablePMLHelmholtzEquations< DIM >, oomph::TPMLFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TTaylorHoodElement< DIM >, oomph::TCrouzeixRaviartElement< DIM >, oomph::RefineableNavierStokesEquations< DIM >, oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableLinearisedNavierStokesEquations, oomph::RefineableLinearisedAxisymmetricNavierStokesEquations, oomph::RefineableLinearWaveEquations< DIM >, oomph::TLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableLinearElasticityEquations< DIM >, oomph::THelmholtzElement< DIM, NNODE_1D >, oomph::RefineableHelmholtzEquations< DIM >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::SpectralPeriodicOrbitElement< NNODE_1D >, oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianTCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianNavierStokesEquations< DIM >, oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement, oomph::GeneralisedNewtonianAxisymmetricTCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricNavierStokesEquations, oomph::TFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TFoepplvonKarmanElement< NNODE_1D >, oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >, oomph::DarcyEquations< DIM >, oomph::DarcyEquations< 2 >, oomph::AxisymmetricPoroelasticityEquations, oomph::AxisymmetricTTaylorHoodElement, oomph::AxisymmetricTCrouzeixRaviartElement, oomph::RefineableAxisymmetricNavierStokesEquations, oomph::TAxisymmetricLinearElasticityElement< NNODE_1D >, oomph::RefineableGeneralisedAxisymAdvectionDiffusionEquations, oomph::RefineableAxisymAdvectionDiffusionEquations, oomph::TAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableAdvectionDiffusionReactionEquations< NREAGENT, DIM >, oomph::RefineableGeneralisedAdvectionDiffusionEquations< DIM >, oomph::RefineableAdvectionDiffusionEquations< DIM >, oomph::RefineablePolarStreamfunctionEquations, RefineableModalPoissonEquations< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::TLinearHeatAndElasticityElement< DIM, NNODE_1D >, and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations.
Referenced by oomph::Z2ErrorEstimator::doc_flux(), oomph::Z2ErrorEstimator::get_element_errors(), and oomph::Z2ErrorEstimator::get_recovered_flux_in_patch().
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A stuitable error estimator for a multi-physics elements may require one Z2 error estimate for each field (e.g. velocity and temperature in a fluid convection problem). It is assumed that these error estimates will each use selected flux terms. The number of compound fluxes returns the number of such combinations of the flux terms. Default value is one and all flux terms are combined with equal weight.
Reimplemented in oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, and RefineableBuoyantQCrouzeixRaviartElement< DIM >.
Referenced by oomph::Z2ErrorEstimator::get_element_errors().
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pure virtual |
Order of recovery shape functions.
Implemented in oomph::RefineableQYoungLaplaceElement< NNODE_1D >, oomph::TUnsteadyHeatElement< DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatElement< DIM, NNODE_1D >, oomph::TTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableQTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TTimeHarmonicFourierDecomposedLinearElasticityElement< NNODE_1D >, oomph::RefineableQSphericalCrouzeixRaviartElement, oomph::RefineableQSphericalTaylorHoodElement, oomph::RefineableQSphericalAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQSphericalAdvectionDiffusionElement< 3 >, oomph::RefineableQUnsteadyHeatMixedOrderSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQTaylorHoodMixedOrderSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::TPVDElementWithContinuousPressure< DIM >, oomph::TPVDBubbleEnrichedElement< DIM, NNODE_1D >, oomph::TPVDElement< DIM, NNODE_1D >, oomph::RefineableQPVDElementWithContinuousPressure< DIM >, oomph::RefineableQPVDElementWithPressure< DIM >, oomph::RefineableQPVDElement< DIM, NNODE_1D >, oomph::RefineablePolarCrouzeixRaviartElement, oomph::RefineablePolarTaylorHoodElement, oomph::TPoissonElement< DIM, NNODE_1D >, oomph::RefineableQSpectralPoissonElement< DIM, NNODE_1D >, oomph::PRefineableQPoissonElement< DIM >, oomph::RefineableQPoissonElement< DIM, NNODE_1D >, oomph::TPMLTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< 2, NNODE_1D >, oomph::TPMLFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TTaylorHoodElement< DIM >, oomph::TCrouzeixRaviartElement< DIM >, oomph::PRefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< 2 >, oomph::RefineableQTaylorHoodElement< DIM >, oomph::RefineableQTaylorHoodElement< 2 >, oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableLinearisedQTaylorHoodElement, oomph::RefineableLinearisedQCrouzeixRaviartElement, oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, oomph::RefineableQLinearWaveElement< DIM, NNODE_1D >, oomph::TLinearElasticityElement< DIM, NNODE_1D >, oomph::PRefineableQLinearElasticityElement< DIM >, oomph::RefineableQLinearElasticityElement< DIM, NNODE_1D >, oomph::THelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQHelmholtzElement< DIM, NNODE_1D >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::SpectralPeriodicOrbitElement< NNODE_1D >, oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianTCrouzeixRaviartElement< DIM >, oomph::PRefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement, oomph::GeneralisedNewtonianAxisymmetricTCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQTaylorHoodElement, oomph::TFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TFoepplvonKarmanElement< NNODE_1D >, oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >, oomph::TRaviartThomasDarcyElement< ORDER >, oomph::TRaviartThomasDarcyElement< ORDER >, oomph::TRaviartThomasDarcyElement< ORDER >, oomph::TAxisymmetricPoroelasticityElement< ORDER >, oomph::AxisymmetricTTaylorHoodElement, oomph::AxisymmetricTCrouzeixRaviartElement, oomph::RefineableAxisymmetricQCrouzeixRaviartElement, oomph::RefineableAxisymmetricQTaylorHoodElement, oomph::TAxisymmetricLinearElasticityElement< NNODE_1D >, oomph::RefineableQGeneralisedAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< 3 >, oomph::TAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< 2, DIM, 3 >, oomph::RefineableQSUPGAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQGeneralisedAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, 3 >, oomph::RefineablePolarStreamfunctionElement, ModalPRefineableQPoissonElement< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::TLinearHeatAndElasticityElement< DIM, NNODE_1D >, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, and oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement.
Referenced by oomph::Z2ErrorEstimator::get_element_errors(), and oomph::Z2ErrorEstimator::setup_patches().
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pure virtual |
Number of 'flux' terms for Z2 error estimation.
Implemented in oomph::RefineableYoungLaplaceEquations, oomph::TUnsteadyHeatElement< DIM, NNODE_1D >, oomph::RefineableUnsteadyHeatEquations< DIM >, oomph::TTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableTimeHarmonicLinearElasticityEquations< DIM >, oomph::TTimeHarmonicFourierDecomposedLinearElasticityElement< NNODE_1D >, oomph::RefineableSphericalNavierStokesEquations, oomph::RefineableSphericalAdvectionDiffusionEquations, oomph::RefineableSpaceTimeUnsteadyHeatMixedOrderEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeUnsteadyHeatEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeUnsteadyHeatEquations< SPATIAL_DIM >, oomph::RefineableSpaceTimeNavierStokesMixedOrderEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::RefineableSpaceTimeNavierStokesEquations< DIM >, oomph::TPVDElementWithContinuousPressure< DIM >, oomph::TPVDBubbleEnrichedElement< DIM, NNODE_1D >, oomph::TPVDElement< DIM, NNODE_1D >, oomph::RefineablePVDEquationsWithPressure< DIM >, oomph::RefineablePVDEquations< DIM >, oomph::RefineablePolarNavierStokesEquations, oomph::TPoissonElement< DIM, NNODE_1D >, oomph::RefineablePoissonEquations< DIM >, oomph::TPMLTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineablePMLHelmholtzEquations< DIM >, oomph::TPMLFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TTaylorHoodElement< DIM >, oomph::TCrouzeixRaviartElement< DIM >, oomph::RefineableNavierStokesEquations< DIM >, oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableLinearisedNavierStokesEquations, oomph::RefineableLinearisedAxisymmetricNavierStokesEquations, oomph::RefineableLinearWaveEquations< DIM >, oomph::TLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableLinearElasticityEquations< DIM >, oomph::THelmholtzElement< DIM, NNODE_1D >, oomph::RefineableHelmholtzEquations< DIM >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::SpectralPeriodicOrbitElement< NNODE_1D >, oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianTCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianNavierStokesEquations< DIM >, oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement, oomph::GeneralisedNewtonianAxisymmetricTCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricNavierStokesEquations, oomph::TFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TFoepplvonKarmanElement< NNODE_1D >, oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >, oomph::DarcyEquations< DIM >, oomph::DarcyEquations< 2 >, oomph::AxisymmetricPoroelasticityEquations, oomph::AxisymmetricTTaylorHoodElement, oomph::AxisymmetricTCrouzeixRaviartElement, oomph::RefineableAxisymmetricNavierStokesEquations, oomph::TAxisymmetricLinearElasticityElement< NNODE_1D >, oomph::RefineableGeneralisedAxisymAdvectionDiffusionEquations, oomph::RefineableAxisymAdvectionDiffusionEquations, oomph::TAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableAdvectionDiffusionReactionEquations< NREAGENT, DIM >, oomph::RefineableGeneralisedAdvectionDiffusionEquations< DIM >, oomph::RefineableAdvectionDiffusionEquations< DIM >, oomph::RefineablePolarStreamfunctionEquations, RefineableModalPoissonEquations< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::TLinearHeatAndElasticityElement< DIM, NNODE_1D >, and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations.
Referenced by oomph::Z2ErrorEstimator::get_element_errors().
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pure virtual |
Number of vertex nodes in the element.
Reimplemented from oomph::FiniteElement.
Implemented in oomph::RefineableQYoungLaplaceElement< NNODE_1D >, oomph::TUnsteadyHeatElement< DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatElement< DIM, NNODE_1D >, oomph::TTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableQTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TTimeHarmonicFourierDecomposedLinearElasticityElement< NNODE_1D >, oomph::RefineableQSphericalCrouzeixRaviartElement, oomph::RefineableQSphericalTaylorHoodElement, oomph::RefineableQSphericalAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQSphericalAdvectionDiffusionElement< 3 >, oomph::RefineableQUnsteadyHeatMixedOrderSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQTaylorHoodMixedOrderSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::TPVDElementWithContinuousPressure< DIM >, oomph::TPVDBubbleEnrichedElement< DIM, NNODE_1D >, oomph::TPVDElement< DIM, NNODE_1D >, oomph::RefineableQPVDElementWithContinuousPressure< DIM >, oomph::RefineableQPVDElementWithPressure< DIM >, oomph::RefineableQPVDElement< DIM, NNODE_1D >, oomph::RefineablePolarCrouzeixRaviartElement, oomph::RefineablePolarTaylorHoodElement, oomph::TPoissonElement< DIM, NNODE_1D >, oomph::RefineableQSpectralPoissonElement< DIM, NNODE_1D >, oomph::PRefineableQPoissonElement< DIM >, oomph::RefineableQPoissonElement< DIM, NNODE_1D >, oomph::TPMLTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< 2, NNODE_1D >, oomph::TPMLFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TTaylorHoodElement< DIM >, oomph::TCrouzeixRaviartElement< DIM >, oomph::PRefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< 2 >, oomph::RefineableQTaylorHoodElement< DIM >, oomph::RefineableQTaylorHoodElement< 2 >, oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableLinearisedQTaylorHoodElement, oomph::RefineableLinearisedQCrouzeixRaviartElement, oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, oomph::RefineableQLinearWaveElement< DIM, NNODE_1D >, oomph::TLinearElasticityElement< DIM, NNODE_1D >, oomph::PRefineableQLinearElasticityElement< DIM >, oomph::RefineableQLinearElasticityElement< DIM, NNODE_1D >, oomph::THelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQHelmholtzElement< DIM, NNODE_1D >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::SpectralPeriodicOrbitElement< NNODE_1D >, oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianTCrouzeixRaviartElement< DIM >, oomph::PRefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement, oomph::GeneralisedNewtonianAxisymmetricTCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQTaylorHoodElement, oomph::TFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TFoepplvonKarmanElement< NNODE_1D >, oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >, oomph::TRaviartThomasDarcyElement< ORDER >, oomph::TAxisymmetricPoroelasticityElement< ORDER >, oomph::AxisymmetricTTaylorHoodElement, oomph::AxisymmetricTCrouzeixRaviartElement, oomph::RefineableAxisymmetricQCrouzeixRaviartElement, oomph::RefineableAxisymmetricQTaylorHoodElement, oomph::TAxisymmetricLinearElasticityElement< NNODE_1D >, oomph::RefineableQGeneralisedAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< 3 >, oomph::TAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< 2, DIM, 3 >, oomph::RefineableQSUPGAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQGeneralisedAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, 3 >, oomph::RefineablePolarStreamfunctionElement, ModalPRefineableQPoissonElement< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::TLinearHeatAndElasticityElement< DIM, NNODE_1D >, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, and oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement.
Referenced by oomph::Z2ErrorEstimator::setup_patches().
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delete |
Broken assignment operator.
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pure virtual |
Pointer to the j-th vertex node in the element. Needed for efficient patch assmbly
Reimplemented from oomph::FiniteElement.
Implemented in oomph::RefineableQYoungLaplaceElement< NNODE_1D >, oomph::TUnsteadyHeatElement< DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatElement< DIM, NNODE_1D >, oomph::TTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::RefineableQTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TTimeHarmonicFourierDecomposedLinearElasticityElement< NNODE_1D >, oomph::RefineableQSphericalCrouzeixRaviartElement, oomph::RefineableQSphericalTaylorHoodElement, oomph::RefineableQSphericalAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQSphericalAdvectionDiffusionElement< 3 >, oomph::RefineableQUnsteadyHeatMixedOrderSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQUnsteadyHeatSpaceTimeElement< SPATIAL_DIM, NNODE_1D >, oomph::RefineableQTaylorHoodMixedOrderSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::TPVDElementWithContinuousPressure< DIM >, oomph::TPVDBubbleEnrichedElement< DIM, NNODE_1D >, oomph::TPVDElement< DIM, NNODE_1D >, oomph::RefineableQPVDElementWithContinuousPressure< DIM >, oomph::RefineableQPVDElementWithPressure< DIM >, oomph::RefineableQPVDElement< DIM, NNODE_1D >, oomph::RefineablePolarCrouzeixRaviartElement, oomph::RefineablePolarTaylorHoodElement, oomph::TPoissonElement< DIM, NNODE_1D >, oomph::RefineableQSpectralPoissonElement< DIM, NNODE_1D >, oomph::PRefineableQPoissonElement< DIM >, oomph::RefineableQPoissonElement< DIM, NNODE_1D >, oomph::TPMLTimeHarmonicLinearElasticityElement< DIM, NNODE_1D >, oomph::TPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQPMLHelmholtzElement< 2, NNODE_1D >, oomph::TPMLFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TTaylorHoodElement< DIM >, oomph::TCrouzeixRaviartElement< DIM >, oomph::PRefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< DIM >, oomph::RefineableQCrouzeixRaviartElement< 2 >, oomph::RefineableQTaylorHoodElement< DIM >, oomph::RefineableQTaylorHoodElement< 2 >, oomph::RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableLinearisedQTaylorHoodElement, oomph::RefineableLinearisedQCrouzeixRaviartElement, oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, oomph::RefineableQLinearWaveElement< DIM, NNODE_1D >, oomph::TLinearElasticityElement< DIM, NNODE_1D >, oomph::PRefineableQLinearElasticityElement< DIM >, oomph::RefineableQLinearElasticityElement< DIM, NNODE_1D >, oomph::THelmholtzElement< DIM, NNODE_1D >, oomph::RefineableQHelmholtzElement< DIM, NNODE_1D >, oomph::PseudoSolidNodeUpdateElement< TCrouzeixRaviartElement< 2 >, TPVDBubbleEnrichedElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >, oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >, oomph::SpectralPeriodicOrbitElement< NNODE_1D >, oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianTCrouzeixRaviartElement< DIM >, oomph::PRefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQCrouzeixRaviartElement< DIM >, oomph::RefineableGeneralisedNewtonianQTaylorHoodElement< DIM >, oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement, oomph::GeneralisedNewtonianAxisymmetricTCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQCrouzeixRaviartElement, oomph::RefineableGeneralisedNewtonianAxisymmetricQTaylorHoodElement, oomph::TFourierDecomposedHelmholtzElement< NNODE_1D >, oomph::TFoepplvonKarmanElement< NNODE_1D >, oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >, oomph::TRaviartThomasDarcyElement< ORDER >, oomph::TAxisymmetricPoroelasticityElement< ORDER >, oomph::AxisymmetricTTaylorHoodElement, oomph::AxisymmetricTCrouzeixRaviartElement, oomph::RefineableAxisymmetricQCrouzeixRaviartElement, oomph::RefineableAxisymmetricQTaylorHoodElement, oomph::TAxisymmetricLinearElasticityElement< NNODE_1D >, oomph::RefineableQGeneralisedAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< NNODE_1D >, oomph::RefineableQAxisymAdvectionDiffusionElement< 3 >, oomph::TAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< NREAGENT, DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionReactionElement< 2, DIM, 3 >, oomph::RefineableQSUPGAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQGeneralisedAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, NNODE_1D >, oomph::RefineableQAdvectionDiffusionElement< DIM, 3 >, oomph::RefineablePolarStreamfunctionElement, ModalPRefineableQPoissonElement< DIM >, oomph::RefineableDoubleBuoyantQCrouzeixRaviartElement< DIM >, oomph::RefineableBuoyantQSphericalCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, oomph::RefineableBuoyantQAxisymCrouzeixRaviartElement, RefineableBuoyantQCrouzeixRaviartElement< DIM >, oomph::TLinearHeatAndElasticityElement< DIM, NNODE_1D >, oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement, and oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement.
Referenced by oomph::Z2ErrorEstimator::setup_patches().
1.9.1 