#include <Tdisplacement_based_foeppl_von_karman_elements.h>

Inheritance diagram for oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >:

Public Member Functions
	TDisplacementBasedFoepplvonKarmanElement ()

	TDisplacementBasedFoepplvonKarmanElement (const TDisplacementBasedFoepplvonKarmanElement< NNODE_1D > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const TDisplacementBasedFoepplvonKarmanElement< NNODE_1D > &)=delete
	Broken assignment operator. More...

unsigned	required_nvalue (const unsigned &n) const

unsigned	ndof_types () const

void	get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const

void	output (std::ostream &outfile)

void	output (std::ostream &outfile, const unsigned &n_plot)

void	output (FILE *file_pt)

void	output (FILE *file_pt, const unsigned &n_plot)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)

Public Member Functions inherited from oomph::TElement< 2, NNODE_1D >
	TElement ()
	Constructor. More...

	TElement (const bool &allow_high_order)
	Alternative constructor. More...

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

	~TElement ()
	Broken assignment operator. More...

unsigned	nnode_1d () const
	Number of nodes along each element edge. More...

unsigned	nvertex_node () const

unsigned	get_bulk_node_number (const int &face_index, const unsigned &i) const
	Public access function for Node_on_face. More...

Node *	vertex_node_pt (const unsigned &j) const
	Pointer to the j-th vertex node in the element. More...

void	shape (const Vector< double > &s, Shape &psi) const
	Calculate the geometric shape functions at local coordinate s. More...

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const

void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

double	invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

double	s_min () const
	Min. value of local coordinate. More...

double	s_max () const
	Max. value of local coordinate. More...

void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
	Return local coordinates of node j. More...

unsigned	nplot_points_paraview (const unsigned &nplot) const

unsigned	nsub_elements_paraview (const unsigned &nplot) const

void	write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const

void	write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const

void	write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const

void	output (std::ostream &output)
	Output. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Output at specified number of plot points. More...

void	output (FILE *file_pt)
	C-style output. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	C_style output at n_plot points. More...

void	get_s_plot (const unsigned &iplot, const unsigned &nplot, Vector< double > &s, const bool &use_equally_spaced_interior_sample_points=false) const

std::string	tecplot_zone_string (const unsigned &nplot) const

void	write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const

void	write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const

unsigned	nplot_points (const unsigned &nplot) const

void	build_face_element (const int &face_index, FaceElement *face_element_pt)

Public Member Functions inherited from oomph::TElementBase
	TElementBase ()
	Empty default constructor. More...

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

ElementGeometry::ElementGeometry	element_geometry () const
	Broken assignment operator. More...

bool	local_coord_is_valid (const Vector< double > &s)
	Check whether the local coordinates are valid or not. More...

void	move_local_coord_back_into_element (Vector< double > &s) const

Public Member Functions inherited from oomph::TElementGeometricBase
	TElementGeometricBase ()
	Empty default constructor. More...

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

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...

void	get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) 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_at_knot (const unsigned &ipt, Shape &psi) const

virtual void	dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) 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 &current_string) const

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...

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 ()

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 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)

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)

void	output_paraview (std::ofstream &file_out, const unsigned &nplot) 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 (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const

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	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, 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 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)

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

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

	DisplacementBasedFoepplvonKarmanEquations (const DisplacementBasedFoepplvonKarmanEquations &dummy)=delete
	Broken copy constructor. More...

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

const double &	nu () const
	Poisson's ratio. More...

double *&	nu_pt ()
	Pointer to Poisson's ratio. More...

const double &	eta () const
	Eta. More...

double *&	eta_pt ()
	Pointer to eta. More...

virtual unsigned	nodal_index_fvk (const unsigned &i=0) const

void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Get error against and norm of exact solution. More...

void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Dummy, time dependent error checker. More...

FoepplvonKarmanPressureFctPt &	pressure_fct_pt ()
	Access function: Pointer to pressure function. More...

FoepplvonKarmanPressureFctPt	pressure_fct_pt () const
	Access function: Pointer to pressure function. Const version. More...

FoepplvonKarmanTractionFctPt &	traction_fct_pt ()
	Access function: Pointer to in-plane traction function. More...

FoepplvonKarmanTractionFctPt	traction_fct_pt () const
	Access function: Pointer to in-plane traction function. Const version. More...

virtual void	get_pressure_fvk (const unsigned &ipt, const Vector< double > &x, double &pressure) const

virtual void	get_traction_fvk (Vector< double > &x, Vector< double > &traction) const
	Get in-plane traction term at (Eulerian) position x. More...

void	get_gradient_of_deflection (const Vector< double > &s, Vector< double > &gradient) const
	Get gradient of deflection: gradient[i] = dw/dx_i. More...

void	get_gradient_of_field (const Vector< double > &s, Vector< double > &gradient, const unsigned &index) const
	Get gradient of field: gradient[i] = d[.]/dx_i,. More...

void	get_sigma (DenseMatrix< double > &sigma, const Vector< double > &interpolated_dwdx, const Vector< double > &interpolated_duxdx, const Vector< double > &interpolated_duydx)

void	get_stress_and_strain_for_output (const Vector< double > &s, DenseMatrix< double > &sigma, DenseMatrix< double > &strain)

void	fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
	hierher dummy More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Fill in the residuals with this element's contribution. More...

double	interpolated_w_fvk (const Vector< double > &s, unsigned index=0) const

unsigned	self_test ()
	Self-test: Return 0 for OK. More...

void	use_linear_bending_model ()

Public Member Functions inherited from oomph::ElementWithZ2ErrorEstimator
	ElementWithZ2ErrorEstimator ()
	Default empty constructor. More...

	ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete
	Broken copy constructor. More...

void	operator= (const ElementWithZ2ErrorEstimator &)=delete
	Broken assignment operator. More...

virtual unsigned	ncompound_fluxes ()

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 double	geometric_jacobian (const Vector< double > &x)

Protected Member Functions
double	dshape_and_dtest_eulerian_fvk (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

double	dshape_and_dtest_eulerian_at_knot_fvk (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

unsigned	nrecovery_order ()

unsigned	num_Z2_flux_terms ()
	Number of 'flux' terms for Z2 error estimation. More...

void	get_Z2_flux (const Vector< double > &s, Vector< double > &flux)
	Get 'flux' for Z2 error recovery: Standard flux.from FvK equations. More...

unsigned	nvertex_node () const
	Number of vertex nodes in the element. More...

Node *	vertex_node_pt (const unsigned &j) const
	Pointer to the j-th vertex node in the element. More...

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	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)

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_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)

Static Private Attributes
static const unsigned	Initial_Nvalue = 4
	Static unsigned that holds the (same) number of variables at every node. More...

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 > &)

Public Types inherited from oomph::DisplacementBasedFoepplvonKarmanEquations
typedef void(*	FoepplvonKarmanPressureFctPt) (const Vector< double > &x, double &f)

typedef void(*	FoepplvonKarmanTractionFctPt) (const Vector< double > &x, Vector< double > &f)

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 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

Protected Attributes inherited from oomph::DisplacementBasedFoepplvonKarmanEquations
double *	Nu_pt
	Pointer to global Poisson's ratio. More...

double *	Eta_pt
	Pointer to global eta. More...

FoepplvonKarmanPressureFctPt	Pressure_fct_pt
	Pointer to pressure function: More...

FoepplvonKarmanTractionFctPt	Traction_fct_pt
	Pointer to traction function: More...

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<unsigned NNODE_1D>
class oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >

////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// TDisplacementBasedFoepplvonKarmanElement<NNODE_1D> elements are isoparametric triangular 2-dimensional Foeppl von Karman elements with NNODE_1D nodal points along each element edge. Inherits from TElement and DisplacementBasedFoepplvonKarmanEquations

Constructor & Destructor Documentation

◆ TDisplacementBasedFoepplvonKarmanElement() [1/2]

template<unsigned NNODE_1D>

oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::TDisplacementBasedFoepplvonKarmanElement ( )

inline

Constructor: Call constructors for TElement and Foeppl von Karman equations

       : TElement<2, NNODE_1D>(), DisplacementBasedFoepplvonKarmanEquations()
     {
     }

◆ TDisplacementBasedFoepplvonKarmanElement() [2/2]

template<unsigned NNODE_1D>

oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::TDisplacementBasedFoepplvonKarmanElement ( const TDisplacementBasedFoepplvonKarmanElement< NNODE_1D > & dummy )

delete

Broken copy constructor.

Member Function Documentation

◆ dshape_and_dtest_eulerian_at_knot_fvk()

template<unsigned NNODE_1D>

double oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::dshape_and_dtest_eulerian_at_knot_fvk	(	const unsigned &	ipt,
		Shape &	psi,
		DShape &	dpsidx,
		Shape &	test,
		DShape &	dtestdx
	)		const

inlineprotectedvirtual

Shape, test functions & derivs. w.r.t. to global coords. Return Jacobian.

Define the shape functions and test functions and derivatives w.r.t. global coordinates and return Jacobian of mapping.

Galerkin: Test functions = shape functions

Implements oomph::DisplacementBasedFoepplvonKarmanEquations.

   {
     // Call the geometrical shape functions and derivatives
     double J = this->dshape_eulerian_at_knot(ipt, psi, dpsidx);
  
     // Set the pointers of the test functions
     test = psi;
     dtestdx = dpsidx;
  
     // Return the jacobian
     return J;
   }

References J.

◆ dshape_and_dtest_eulerian_fvk()

template<unsigned NNODE_1D>

double oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::dshape_and_dtest_eulerian_fvk	(	const Vector< double > &	s,
		Shape &	psi,
		DShape &	dpsidx,
		Shape &	test,
		DShape &	dtestdx
	)		const

inlineprotectedvirtual

Shape, test functions & derivs. w.r.t. to global coords. Return Jacobian.

Define the shape functions and test functions and derivatives w.r.t. global coordinates and return Jacobian of mapping.

Galerkin: Test functions = shape functions

Implements oomph::DisplacementBasedFoepplvonKarmanEquations.

   {
     unsigned n_node = this->nnode();
  
     // Call the geometrical shape functions and derivatives
     double J = this->dshape_eulerian(s, psi, dpsidx);
  
     // Loop over the test functions and derivatives and set them equal to the
     // shape functions
     for (unsigned i = 0; i < n_node; i++)
     {
       test[i] = psi[i];
       dtestdx(i, 0) = dpsidx(i, 0);
       dtestdx(i, 1) = dpsidx(i, 1);
     }
  
     // Return the jacobian
     return J;
   }

References i, J, and s.

◆ get_dof_numbers_for_unknowns()

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::get_dof_numbers_for_unknowns ( std::list< std::pair< unsigned long, unsigned >> & dof_lookup_list ) const

inlinevirtual

Create a list of pairs for all unknowns in this element, so that the first entry in each pair contains the global equation number of the unknown, while the second one contains the number of the dof type that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.) Dof_types 0,1: Laplacian; 2: Bending w 3: Displacements Ux and Uy The indexing of the dofs in the element is like below

[1]: laplacian w

Reimplemented from oomph::GeneralisedElement.

     {
       // number of nodes
       const unsigned n_node = this->nnode();
  
       // temporary pair (used to store dof lookup prior to being added to list)
       std::pair<unsigned, unsigned> dof_lookup;
  
       // loop over the nodes
       for (unsigned n = 0; n < n_node; n++)
       {
         // Zeroth nodal value: displacement
         //---------------------------------
         unsigned v = 0;
  
         // determine local eqn number
         int local_eqn_number = this->nodal_local_eqn(n, v);
  
         // ignore pinned values
         if (local_eqn_number >= 0)
         {
           // store dof lookup in temporary pair: Global equation
           // number is the first entry in pair
           dof_lookup.first = this->eqn_number(local_eqn_number);
  
           // set dof type numbers: Dof type is the second entry in pair
           dof_lookup.second = 2;
  
           // add to list
           dof_lookup_list.push_front(dof_lookup);
         }
  
         // First nodal value: Laplacian
         //-----------------------------
         v = 1;
  
         // determine local eqn number
         local_eqn_number = this->nodal_local_eqn(n, v);
  
         // ignore pinned values
         if (local_eqn_number >= 0)
         {
           // store dof lookup in temporary pair: Global equation
           // number is the first entry in pair
           dof_lookup.first = this->eqn_number(local_eqn_number);
  
           // Is it a boundary node? If so: It's dof type 1
           if (node_pt(n)->is_on_boundary(0) || node_pt(n)->is_on_boundary(1))
           {
             dof_lookup.second = 1;
           }
           // otherwise it's in the interior: It's dof type 0
           else
           {
             dof_lookup.second = 0;
           }
  
           // add to list
           dof_lookup_list.push_front(dof_lookup);
         }
  
         // Second nodal value: U_x
         //---------------------------------
         v = 2;
  
         // determine local eqn number
         local_eqn_number = this->nodal_local_eqn(n, v);
  
         // ignore pinned values
         if (local_eqn_number >= 0)
         {
           // store dof lookup in temporary pair: Global equation
           // number is the first entry in pair
           dof_lookup.first = this->eqn_number(local_eqn_number);
  
           // set dof type numbers: Dof type is the second entry in pair
           dof_lookup.second = 3;
  
           // add to list
           dof_lookup_list.push_front(dof_lookup);
         }
  
         // Third nodal value: U_y
         //---------------------------------
         v = 3;
  
         // determine local eqn number
         local_eqn_number = this->nodal_local_eqn(n, v);
  
         // ignore pinned values
         if (local_eqn_number >= 0)
         {
           // store dof lookup in temporary pair: Global equation
           // number is the first entry in pair
           dof_lookup.first = this->eqn_number(local_eqn_number);
  
           // set dof type numbers: Dof type is the second entry in pair
           dof_lookup.second = 4;
  
           // add to list
           dof_lookup_list.push_front(dof_lookup);
         }
  
       } // for (n < n_node)
     }

References oomph::GeneralisedElement::eqn_number(), oomph::GeneralisedElement::local_eqn_number(), n, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::node_pt(), and v.

◆ get_Z2_flux()

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::get_Z2_flux	(	const Vector< double > &	s,
		Vector< double > &	flux
	)

inlineprotectedvirtual

Get 'flux' for Z2 error recovery: Standard flux.from FvK equations.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       this->get_gradient_of_deflection(s, flux);
     }

References ProblemParameters::flux(), and oomph::DisplacementBasedFoepplvonKarmanEquations::get_gradient_of_deflection().

◆ ndof_types()

template<unsigned NNODE_1D>

unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::ndof_types ( ) const

inlinevirtual

The number of dof types that degrees of freedom in this element are sub-divided into

Reimplemented from oomph::GeneralisedElement.

     {
       // NOTE: this assumes "clamped" bcs
       // [0]: laplacian w interior
       // [1]: laplacian w boundary
       // [2]: W
       // [3]: Ux
       // [4]: Uy
       return 5;
     }

◆ nrecovery_order()

template<unsigned NNODE_1D>

unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::nrecovery_order ( )

inlineprotectedvirtual

Order of recovery shape functions for Z2 error estimation: Same order as shape functions.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return (NNODE_1D - 1);
     }

◆ num_Z2_flux_terms()

template<unsigned NNODE_1D>

unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::num_Z2_flux_terms ( )

inlineprotectedvirtual

Number of 'flux' terms for Z2 error estimation.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return 2;
     } // The dimension

◆ nvertex_node()

template<unsigned NNODE_1D>

unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::nvertex_node ( ) const

inlineprotectedvirtual

Number of vertex nodes in the element.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return TElement<2, NNODE_1D>::nvertex_node();
     }

◆ operator=()

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::operator= ( const TDisplacementBasedFoepplvonKarmanElement< NNODE_1D > & )

delete

Broken assignment operator.

◆ output() [1/4]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output ( FILE * file_pt )

inlinevirtual

C-style output function: x,y,w

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output(file_pt);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output().

◆ output() [2/4]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inlinevirtual

C-style output function: x,y,w at n_plot^2 plot points

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output(file_pt, n_plot);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output().

◆ output() [3/4]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output ( std::ostream & outfile )

inlinevirtual

Output function: x,y,w

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output(outfile);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output().

◆ output() [4/4]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

inlinevirtual

Output function: x,y,w at n_plot^2 plot points

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output(outfile, n_plot);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output().

◆ output_fct() [1/2]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output_fct	(	std::ostream &	outfile,
		const unsigned &	n_plot,
		const double &	time,
		FiniteElement::UnsteadyExactSolutionFctPt	exact_soln_pt
	)

inlinevirtual

Output function for a time-dependent exact solution. x,y,w_exact (calls the steady version)

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output_fct(
         outfile, n_plot, time, exact_soln_pt);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output_fct().

◆ output_fct() [2/2]

template<unsigned NNODE_1D>

void oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::output_fct	(	std::ostream &	outfile,
		const unsigned &	n_plot,
		FiniteElement::SteadyExactSolutionFctPt	exact_soln_pt
	)

inlinevirtual

Output function for an exact solution: x,y,w_exact

Reimplemented from oomph::DisplacementBasedFoepplvonKarmanEquations.

     {
       DisplacementBasedFoepplvonKarmanEquations::output_fct(
         outfile, n_plot, exact_soln_pt);
     }

References oomph::DisplacementBasedFoepplvonKarmanEquations::output_fct().

◆ required_nvalue()

template<unsigned NNODE_1D>

unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::required_nvalue ( const unsigned & n ) const

inlinevirtual

Access function for Nvalue: # of ‘values’ (pinned or dofs) at node n (always returns the same value at every node, 4)

Reimplemented from oomph::FiniteElement.

     {
       return Initial_Nvalue;
     }

References oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::Initial_Nvalue.

◆ vertex_node_pt()

template<unsigned NNODE_1D>

Node* oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::vertex_node_pt ( const unsigned & j ) const

inlineprotectedvirtual

Pointer to the j-th vertex node in the element.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return TElement<2, NNODE_1D>::vertex_node_pt(j);
     }

References j.

Member Data Documentation

◆ Initial_Nvalue

template<unsigned NNODE_1D>

const unsigned oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::Initial_Nvalue = 4

staticprivate

Static unsigned that holds the (same) number of variables at every node.

Referenced by oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >::required_nvalue().

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

Public Member Functions

Protected Member Functions

Static Private Attributes

Additional Inherited Members

Detailed Description

template<unsigned NNODE_1D> class oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >

Constructor & Destructor Documentation

◆ TDisplacementBasedFoepplvonKarmanElement() [1/2]

◆ TDisplacementBasedFoepplvonKarmanElement() [2/2]

Member Function Documentation

◆ dshape_and_dtest_eulerian_at_knot_fvk()

◆ dshape_and_dtest_eulerian_fvk()

◆ get_dof_numbers_for_unknowns()

◆ get_Z2_flux()

◆ ndof_types()

◆ nrecovery_order()

◆ num_Z2_flux_terms()

◆ nvertex_node()

◆ operator=()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ output_fct() [1/2]

◆ output_fct() [2/2]

◆ required_nvalue()

◆ vertex_node_pt()

Member Data Documentation

◆ Initial_Nvalue

template<unsigned NNODE_1D>
class oomph::TDisplacementBasedFoepplvonKarmanElement< NNODE_1D >