#include <projection.h>

Inheritance diagram for oomph::ProjectableElement< ELEMENT >:

Public Member Functions
	ProjectableElement ()

virtual void	residual_for_projection (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const

void	enable_projection ()

void	disable_projection ()

void	set_project_coordinates ()
	Project (history values of) coordintes. More...

void	set_project_values ()
	Project (history values of) values. More...

void	set_project_lagrangian ()
	Project (current and only values of) lagrangian coordinates. More...

unsigned &	projected_field ()
	Field that is currently being projected. More...

unsigned &	time_level_for_projection ()
	Which history value are we projecting? More...

unsigned &	projected_coordinate ()

unsigned &	projected_lagrangian_coordinate ()

Public Member Functions inherited from oomph::ProjectableElementBase
	ProjectableElementBase ()

virtual	~ProjectableElementBase ()
	Virtual destructor. More...

virtual Vector< std::pair< Data *, unsigned > >	data_values_of_field (const unsigned &fld)=0

virtual unsigned	nfields_for_projection ()=0

virtual unsigned	nhistory_values_for_projection (const unsigned &fld)=0

virtual unsigned	nhistory_values_for_coordinate_projection ()=0

virtual unsigned	nvalue_of_field (const unsigned &fld)=0

virtual int	local_equation (const unsigned &fld, const unsigned &ivalue)=0

virtual double	jacobian_and_shape_of_field (const unsigned &fld, const Vector< double > &s, Shape &psi)=0

virtual double	get_field (const unsigned &time, const unsigned &fld, const Vector< double > &s)=0

Public Member Functions inherited from oomph::ElementWithExternalElement
	ElementWithExternalElement ()

virtual	~ElementWithExternalElement ()
	The destructor, clean up any allocated memory. More...

	ElementWithExternalElement (const ElementWithExternalElement &)=delete
	Broken copy constructor. More...

void	operator= (const ElementWithExternalElement &)=delete
	Broken assignment operator. More...

bool	storage_has_been_allocated () const
	Helper function to check if storage has actually been allocated. More...

FiniteElement *&	external_element_pt (const unsigned &interaction_index, const unsigned &ipt)

FiniteElement *const &	external_element_pt (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to source element, const version. More...

Vector< double > &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt)

Vector< double > const &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to get source element's coords, const version. More...

void	output_external_elements (std::ostream &outfile, const unsigned &interaction_index)

void	initialise_external_element_storage ()

void	flush_all_external_element_storage ()
	Flush the storage for external elements. More...

void	set_ninteraction (const unsigned &n_interaction)

unsigned	ninteraction () const
	Return the number of interactions in the element. More...

virtual void	identify_all_field_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< std::pair< Data *, unsigned >> &paired_interaction_data)

virtual void	identify_all_geometric_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< Data * > &external_geometric_data_pt)

unsigned	nexternal_interaction_field_data () const

Vector< Data * >	external_interaction_field_data_pt () const

unsigned	nexternal_interaction_geometric_data () const

bool	add_external_geometric_data ()
	Are we including external geometric data in the element's Jacobian. More...

bool	add_external_interaction_data ()
	Are we including external data in the element's Jacobian. More...

Vector< Data * >	external_interaction_geometric_data_pt () const

void	ignore_external_geometric_data ()

void	ignore_external_interaction_data ()

void	include_external_geometric_data ()

void	include_external_interaction_data ()

bool	external_geometric_data_is_included () const

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_nodal_local_dofs (std::ostream &out, const std::string &current_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 unsigned	nvertex_node () const

virtual Node *	vertex_node_pt (const unsigned &j) const

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)

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 &current_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 &parameter_pt, Vector< double > &dres_dparam)

virtual void	get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_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

Protected Member Functions
void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Overloaded version of fill_in_contribution_to_residuals. More...

void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Overloaded version of fill_in_contribution_to_jacobian. More...

Protected Member Functions inherited from oomph::ElementWithExternalElement
void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

void	assign_external_interaction_data_local_eqn_numbers (const bool &store_local_dof_pt)

void	fill_in_jacobian_from_external_interaction_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_external_interaction_by_fd (DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_external_interaction_field_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_external_interaction_field_by_fd (DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_external_interaction_geometric_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_external_interaction_geometric_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_external_interaction_field_fd ()

virtual void	reset_after_external_interaction_field_fd ()

virtual void	update_in_external_interaction_field_fd (const unsigned &i)

virtual void	reset_in_external_interaction_field_fd (const unsigned &i)

virtual void	update_before_external_interaction_geometric_fd ()

virtual void	reset_after_external_interaction_geometric_fd ()

virtual void	update_in_external_interaction_geometric_fd (const unsigned &i)

virtual void	reset_in_external_interaction_geometric_fd (const unsigned &i)

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)

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_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)

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 &parameter_pt, Vector< double > &dres_dparam)

virtual void	fill_in_contribution_to_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const &parameter_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)

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 Types inherited from oomph::ProjectableElementBase
enum	Projection_Type { Coordinate , Lagrangian , Value }

Protected Attributes inherited from oomph::ProjectableElementBase
unsigned	Projected_field
	Field that is currently being projected. More...

unsigned	Time_level_for_projection
	Time level we are projecting (0=current values; >0: history values) More...

unsigned	Projected_coordinate

unsigned	Projected_lagrangian

Projection_Type	Projection_type

bool	Do_projection

unsigned	Backup_ninteraction

bool	Backup_external_geometric_data

bool	Backup_external_interaction_data

Protected Attributes inherited from oomph::ElementWithExternalElement
bool	Add_external_interaction_data
	Boolean flag to indicate whether to include the external data. More...

bool	Add_external_geometric_data
	Boolean flag to indicate whether to include the external geometric data. More...

Data **	External_interaction_field_data_pt

Data **	External_interaction_geometric_data_pt

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

Detailed Description

template<class ELEMENT>
class oomph::ProjectableElement< ELEMENT >

Wrapper class for projectable elements. Adds "projectability" to the underlying ELEMENT.

Constructor & Destructor Documentation

◆ ProjectableElement()

template<class ELEMENT >

oomph::ProjectableElement< ELEMENT >::ProjectableElement ( )

inline

Constructor [this was only required explicitly from gcc 4.5.2 onwards...]

235 {}

Member Function Documentation

◆ describe_local_dofs()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::describe_local_dofs	(	std::ostream &	out,
		const std::string &	current_string
	)		const

inlineprotectedvirtual

Function to describe the local dofs of the element. The ostream specifies the output stream to which the description is written; the string stores the currently assembled output that is ultimately written to the output stream by Data::describe_dofs(...); it is typically built up incrementally as we descend through the call hierarchy of this function when called from Problem::describe_dofs(...)

Reimplemented from oomph::ElementWithExternalElement.

     {
       ElementWithExternalElement::describe_local_dofs(out, current_string);
       ELEMENT::describe_local_dofs(out, current_string);
     }

References oomph::ElementWithExternalElement::describe_local_dofs(), and out().

◆ disable_projection()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::disable_projection ( )

inline

Helper function to restore the element to the state it was in before we entered the projection mode and switch off projection mode.

     {
       // Restore number of interaction
       set_ninteraction(Backup_ninteraction);
  
       // Restore geometric data
       if (Backup_external_geometric_data)
       {
         include_external_geometric_data();
       }
       else
       {
         ignore_external_geometric_data();
       }
  
       // Restore interaction data
       if (Backup_external_interaction_data)
       {
         include_external_interaction_data();
       }
       else
       {
         ignore_external_interaction_data();
       }
  
       Do_projection = false;
     }

References oomph::ProjectableElementBase::Backup_external_geometric_data, oomph::ProjectableElementBase::Backup_external_interaction_data, oomph::ProjectableElementBase::Backup_ninteraction, oomph::ProjectableElementBase::Do_projection, oomph::ElementWithExternalElement::ignore_external_geometric_data(), oomph::ElementWithExternalElement::ignore_external_interaction_data(), oomph::ElementWithExternalElement::include_external_geometric_data(), oomph::ElementWithExternalElement::include_external_interaction_data(), and oomph::ElementWithExternalElement::set_ninteraction().

◆ enable_projection()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::enable_projection ( )

inline

Backup the element's state and switch it to projection mode.

     {
       // Backup number of interaction
       Backup_ninteraction = ninteraction();
  
       // Backup flag for inclusion of geometric data
       if (add_external_geometric_data())
       {
         Backup_external_geometric_data = true;
       }
       else
       {
         Backup_external_geometric_data = false;
       }
  
       // Backup flag for inclusion of interaction data
       if (add_external_interaction_data())
       {
         Backup_external_interaction_data = true;
       }
       else
       {
         Backup_external_interaction_data = false;
       }
  
       // Actions to enable projection
       Do_projection = true;
       ignore_external_geometric_data();
       ignore_external_interaction_data();
       set_ninteraction(1);
     }

References oomph::ElementWithExternalElement::add_external_geometric_data(), oomph::ElementWithExternalElement::add_external_interaction_data(), oomph::ProjectableElementBase::Backup_external_geometric_data, oomph::ProjectableElementBase::Backup_external_interaction_data, oomph::ProjectableElementBase::Backup_ninteraction, oomph::ProjectableElementBase::Do_projection, oomph::ElementWithExternalElement::ignore_external_geometric_data(), oomph::ElementWithExternalElement::ignore_external_interaction_data(), oomph::ElementWithExternalElement::ninteraction(), and oomph::ElementWithExternalElement::set_ninteraction().

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inlineprotectedvirtual

Overloaded version of fill_in_contribution_to_jacobian.

Reimplemented from oomph::ElementWithExternalElement.

     {
       // Do projection
       if (Do_projection)
       {
         this->residual_for_projection(residuals, jacobian, 1);
       }
       else
       {
         ELEMENT::fill_in_contribution_to_jacobian(residuals, jacobian);
       }
     }

References oomph::ProjectableElementBase::Do_projection, oomph::fill_in_contribution_to_jacobian(), and oomph::ProjectableElement< ELEMENT >::residual_for_projection().

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlineprotectedvirtual

Overloaded version of fill_in_contribution_to_residuals.

Reimplemented from oomph::GeneralisedElement.

     {
       // Do projection
       if (Do_projection)
       {
         this->residual_for_projection(
           residuals, GeneralisedElement::Dummy_matrix, 0);
       }
       // solve problem normally
       else
       {
         ELEMENT::fill_in_contribution_to_residuals(residuals);
       }
     }

References oomph::ProjectableElementBase::Do_projection, oomph::GeneralisedElement::Dummy_matrix, oomph::fill_in_contribution_to_residuals(), and oomph::ProjectableElement< ELEMENT >::residual_for_projection().

◆ projected_coordinate()

template<class ELEMENT >

unsigned& oomph::ProjectableElement< ELEMENT >::projected_coordinate ( )

inline

When projecting the history values of the nodal coordinates, this is the coordinate we're projecting

     {
       return Projected_coordinate;
     }

References oomph::ProjectableElementBase::Projected_coordinate.

◆ projected_field()

template<class ELEMENT >

unsigned& oomph::ProjectableElement< ELEMENT >::projected_field ( )

inline

Field that is currently being projected.

     {
       return Projected_field;
     }

References oomph::ProjectableElementBase::Projected_field.

◆ projected_lagrangian_coordinate()

template<class ELEMENT >

unsigned& oomph::ProjectableElement< ELEMENT >::projected_lagrangian_coordinate ( )

inline

When projecting the Lagrangian coordinates this is the coordinate that is being projected

     {
       return Projected_lagrangian;
     }

References oomph::ProjectableElementBase::Projected_lagrangian.

◆ residual_for_projection()

template<class ELEMENT >

virtual void oomph::ProjectableElement< ELEMENT >::residual_for_projection	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		const unsigned &	flag
	)

inlinevirtual

Residual for the projection step. Flag indicates if we want the Jacobian (1) or not (0). Virtual so it can be overloaded if necessary

Reimplemented in oomph::ProjectableDarcyElement< DARCY_ELEMENT >, and oomph::ProjectableAxisymmetricPoroelasticityElement< AXISYMMETRIC_POROELASTICITY_ELEMENT >.

     {
       // Am I a solid element
       SolidFiniteElement* solid_el_pt = dynamic_cast<SolidFiniteElement*>(this);
  
       unsigned n_dim = dim();
  
       // Allocate storage for local coordinates
       Vector<double> s(n_dim);
  
       // Current field
       unsigned fld = Projected_field;
  
       // Number of nodes
       const unsigned n_node = this->nnode();
       // Number of positional dofs
       const unsigned n_position_type = this->nnodal_position_type();
  
       // Number of dof for current field
       const unsigned n_value = nvalue_of_field(fld);
  
       // Set the value of n_intpt
       const unsigned n_intpt = integral_pt()->nweight();
  
       // Loop over the integration points
       for (unsigned ipt = 0; ipt < n_intpt; ipt++)
       {
         // Get the local coordinates of Gauss point
         for (unsigned i = 0; i < n_dim; i++) s[i] = integral_pt()->knot(ipt, i);
  
         // Get the integral weight
         double w = integral_pt()->weight(ipt);
  
         // Find same point in base mesh using external storage
         FiniteElement* other_el_pt = 0;
         other_el_pt = this->external_element_pt(0, ipt);
         Vector<double> other_s(n_dim);
         other_s = this->external_element_local_coord(0, ipt);
  
         ProjectableElement<ELEMENT>* cast_el_pt =
           dynamic_cast<ProjectableElement<ELEMENT>*>(other_el_pt);
  
         // Storage for the local equation and local unknown
         int local_eqn = 0, local_unknown = 0;
  
         // Now set up the three different projection problems
         switch (Projection_type)
         {
           case Lagrangian:
           {
             // If we don't have a solid element there is a problem
             if (solid_el_pt == 0)
             {
               throw OomphLibError("Trying to project Lagrangian coordinates in "
                                   "non-SolidElement\n",
                                   OOMPH_CURRENT_FUNCTION,
                                   OOMPH_EXCEPTION_LOCATION);
             }
  
             // Find the position shape functions
             Shape psi(n_node, n_position_type);
             // Get the position shape functions
             this->shape(s, psi);
             // Get the jacobian
             double J = this->J_eulerian(s);
  
             // Premultiply the weights and the Jacobian
             double W = w * J;
  
             // Get the value of the current position of the 0th coordinate
             // in the current element
             // at the current time level (which is the unkown)
             double interpolated_xi_proj = this->interpolated_x(s, 0);
  
             // Get the Lagrangian position in the other element
             double interpolated_xi_bar =
               dynamic_cast<SolidFiniteElement*>(cast_el_pt)
                 ->interpolated_xi(other_s, Projected_lagrangian);
  
             // Now loop over the nodes and position dofs
             for (unsigned l = 0; l < n_node; ++l)
             {
               // Loop over position unknowns
               for (unsigned k = 0; k < n_position_type; ++k)
               {
                 // The local equation is going to be the positional local
                 // equation
                 local_eqn = solid_el_pt->position_local_eqn(l, k, 0);
  
                 // Now assemble residuals
                 if (local_eqn >= 0)
                 {
                   // calculate residuals
                   residuals[local_eqn] +=
                     (interpolated_xi_proj - interpolated_xi_bar) * psi(l, k) *
                     W;
  
                   // Calculate the jacobian
                   if (flag == 1)
                   {
                     for (unsigned l2 = 0; l2 < n_node; l2++)
                     {
                       // Loop over position dofs
                       for (unsigned k2 = 0; k2 < n_position_type; k2++)
                       {
                         local_unknown =
                           solid_el_pt->position_local_eqn(l2, k2, 0);
                         if (local_unknown >= 0)
                         {
                           jacobian(local_eqn, local_unknown) +=
                             psi(l2, k2) * psi(l, k) * W;
                         }
                       }
                     }
                   } // end of jacobian
                 }
               }
             }
           } // End of Lagrangian coordinate case
  
           break;
  
           // Now the coordinate history case
           case Coordinate:
           {
             // Find the position shape functions
             Shape psi(n_node, n_position_type);
             // Get the position shape functions
             this->shape(s, psi);
             // Get the jacobian
             double J = this->J_eulerian(s);
  
             // Premultiply the weights and the Jacobian
             double W = w * J;
  
             // Get the value of the current position in the current element
             // at the current time level (which is the unkown)
             double interpolated_x_proj = 0.0;
             // If we are a solid element read it out directly from the data
             if (solid_el_pt != 0)
             {
               interpolated_x_proj =
                 this->interpolated_x(s, Projected_coordinate);
             }
             // Otherwise it's the field value at the current time
             else
             {
               interpolated_x_proj = this->get_field(0, fld, s);
             }
  
             // Get the position in the other element
             double interpolated_x_bar = cast_el_pt->interpolated_x(
               Time_level_for_projection, other_s, Projected_coordinate);
  
             // Now loop over the nodes and position dofs
             for (unsigned l = 0; l < n_node; ++l)
             {
               // Loop over position unknowns
               for (unsigned k = 0; k < n_position_type; ++k)
               {
                 // If I'm a solid element
                 if (solid_el_pt != 0)
                 {
                   // The local equation is going to be the positional local
                   // equation
                   local_eqn =
                     solid_el_pt->position_local_eqn(l, k, Projected_coordinate);
                 }
                 // Otherwise just pick the local unknown of a field to
                 // project into
                 else
                 {
                   // Complain if using generalised position types
                   // but this is not a solid element, because the storage
                   // is then not clear
                   if (n_position_type != 1)
                   {
                     throw OomphLibError("Trying to project generalised "
                                         "positions not in SolidElement\n",
                                         OOMPH_CURRENT_FUNCTION,
                                         OOMPH_EXCEPTION_LOCATION);
                   }
                   local_eqn = local_equation(fld, l);
                 }
  
                 // Now assemble residuals
                 if (local_eqn >= 0)
                 {
                   // calculate residuals
                   residuals[local_eqn] +=
                     (interpolated_x_proj - interpolated_x_bar) * psi(l, k) * W;
  
                   // Calculate the jacobian
                   if (flag == 1)
                   {
                     for (unsigned l2 = 0; l2 < n_node; l2++)
                     {
                       // Loop over position dofs
                       for (unsigned k2 = 0; k2 < n_position_type; k2++)
                       {
                         // If I'm a solid element
                         if (solid_el_pt != 0)
                         {
                           local_unknown = solid_el_pt->position_local_eqn(
                             l2, k2, Projected_coordinate);
                         }
                         else
                         {
                           local_unknown = local_equation(fld, l2);
                         }
  
                         if (local_unknown >= 0)
                         {
                           jacobian(local_eqn, local_unknown) +=
                             psi(l2, k2) * psi(l, k) * W;
                         }
                       }
                     }
                   } // end of jacobian
                 }
               }
             }
           } // End of coordinate case
           break;
  
           // Now the value case
           case Value:
           {
             // Field shape function
             Shape psi(n_value);
  
             // Calculate jacobian and shape functions for that field
             double J = jacobian_and_shape_of_field(fld, s, psi);
  
             // Premultiply the weights and the Jacobian
             double W = w * J;
  
             // Value of field in current element at current time level
             //(the unknown)
             unsigned now = 0;
             double interpolated_value_proj = this->get_field(now, fld, s);
  
             // Value of the interpolation of element located in base mesh
             double interpolated_value_bar =
               cast_el_pt->get_field(Time_level_for_projection, fld, other_s);
  
             // Loop over dofs of field fld
             for (unsigned l = 0; l < n_value; l++)
             {
               local_eqn = local_equation(fld, l);
               if (local_eqn >= 0)
               {
                 // calculate residuals
                 residuals[local_eqn] +=
                   (interpolated_value_proj - interpolated_value_bar) * psi[l] *
                   W;
  
                 // Calculate the jacobian
                 if (flag == 1)
                 {
                   for (unsigned l2 = 0; l2 < n_value; l2++)
                   {
                     local_unknown = local_equation(fld, l2);
                     if (local_unknown >= 0)
                     {
                       jacobian(local_eqn, local_unknown) +=
                         psi[l2] * psi[l] * W;
                     }
                   }
                 } // end of jacobian
               }
             }
           }
           break;
  
           default:
             throw OomphLibError("Wrong type specificied in Projection_type. "
                                 "This should never happen\n",
                                 OOMPH_CURRENT_FUNCTION,
                                 OOMPH_EXCEPTION_LOCATION);
         } // End of the switch statement
  
       } // End of loop over ipt
  
     } // End of residual_for_projection function

Referenced by oomph::ProjectableElement< ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::ProjectableElement< ELEMENT >::fill_in_contribution_to_residuals().

◆ set_project_coordinates()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::set_project_coordinates ( )

inline

Project (history values of) coordintes.

     {
       Projection_type = Coordinate;
     }

References oomph::ProjectableElementBase::Coordinate, and oomph::ProjectableElementBase::Projection_type.

◆ set_project_lagrangian()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::set_project_lagrangian ( )

inline

Project (current and only values of) lagrangian coordinates.

     {
       Projection_type = Lagrangian;
     }

References oomph::ProjectableElementBase::Lagrangian, and oomph::ProjectableElementBase::Projection_type.

◆ set_project_values()

template<class ELEMENT >

void oomph::ProjectableElement< ELEMENT >::set_project_values ( )

inline

Project (history values of) values.

     {
       Projection_type = Value;
     }

References oomph::ProjectableElementBase::Projection_type, and oomph::ProjectableElementBase::Value.

◆ time_level_for_projection()

template<class ELEMENT >

unsigned& oomph::ProjectableElement< ELEMENT >::time_level_for_projection ( )

inline

Which history value are we projecting?

     {
       return Time_level_for_projection;
     }

References oomph::ProjectableElementBase::Time_level_for_projection.

◆ zeta_nodal()

template<class ELEMENT >

double oomph::ProjectableElement< ELEMENT >::zeta_nodal	(	const unsigned &	n,
		const unsigned &	k,
		const unsigned &	i
	)		const

inlinevirtual

Use Eulerian coordinates for matching in locate_zeta when doing projection

Reimplemented from oomph::FiniteElement.

     {
       if (Do_projection)
       {
         return nodal_position_gen(n, k, i);
       }
       else
       {
         return ELEMENT::zeta_nodal(n, k, i);
       }
     }

References oomph::ProjectableElementBase::Do_projection, i, k, n, and oomph::FiniteElement::nodal_position_gen().

The documentation for this class was generated from the following file:

projection.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

template<class ELEMENT> class oomph::ProjectableElement< ELEMENT >

Constructor & Destructor Documentation

◆ ProjectableElement()

Member Function Documentation

◆ describe_local_dofs()

◆ disable_projection()

◆ enable_projection()

◆ fill_in_contribution_to_jacobian()

◆ fill_in_contribution_to_residuals()

◆ projected_coordinate()

◆ projected_field()

◆ projected_lagrangian_coordinate()

◆ residual_for_projection()

◆ set_project_coordinates()

◆ set_project_lagrangian()

◆ set_project_values()

◆ time_level_for_projection()

◆ zeta_nodal()

template<class ELEMENT>
class oomph::ProjectableElement< ELEMENT >