oomph::SolidPointElement Class Reference

Solid point element. More...

`#include <elements.h>`

Inheritance diagram for oomph::SolidPointElement:

## Additional Inherited Members | |

Public Types inherited from oomph::SolidFiniteElement | |

typedef double(* | MultiplierFctPt )(const Vector< double > &xi) |

Pointer to function that computes the "multiplier" for the inertia terms in the consistent determination of the initial conditions for Newmark timestepping. More... | |

Public Types inherited from oomph::FiniteElement | |

typedef void(* | SteadyExactSolutionFctPt )(const Vector< double > &, Vector< double > &) |

Function pointer for function that computes vector-valued steady "exact solution" as . More... | |

typedef void(* | UnsteadyExactSolutionFctPt )(const double &, const Vector< double > &, Vector< double > &) |

Function pointer for function that computes Vector-valued time-dependent function as . More... | |

Public Member Functions inherited from oomph::SolidFiniteElement | |

void | set_lagrangian_dimension (const unsigned &lagrangian_dimension) |

Set the lagrangian dimension of the element — the number of lagrangian coordinates stored at the nodes in the element. More... | |

virtual bool | has_internal_solid_data () |

Return whether there is internal solid data (e.g. discontinuous solid pressure). At present, this is used to report an error in setting initial conditions for ElasticProblems which can't handle such cases. The default is false. More... | |

SolidFiniteElement () | |

Constructor: Set defaults. More... | |

virtual | ~SolidFiniteElement () |

Destructor to clean up any allocated memory. More... | |

SolidFiniteElement (const SolidFiniteElement &) | |

Broken copy constructor. More... | |

unsigned | ngeom_data () const |

Broken assignment operator. More... | |

Data * | geom_data_pt (const unsigned &j) |

Return pointer to the j-th Data item that the object's shape depends on. (Redirects to the nodes' positional Data). More... | |

void | identify_geometric_data (std::set< Data * > &geometric_data_pt) |

Specify Data that affects the geometry of the element by adding the position Data to the set that's passed in. (This functionality is required in FSI problems; set is used to avoid double counting). More... | |

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

In a SolidFiniteElement, the "global" intrinsic coordinate of the element when viewed as part of a compound geometric object (a Mesh) is, by default, the Lagrangian coordinate Note the assumption here is that we are always using isoparameteric elements in which the lagrangian coordinate is interpolated by the same shape functions as the eulerian coordinate. More... | |

virtual void | get_x_and_xi (const Vector< double > &s, Vector< double > &x_fe, Vector< double > &x, Vector< double > &xi_fe, Vector< double > &xi) const |

Eulerian and Lagrangian coordinates as function of the local coordinates: The Eulerian position is returned in FE-interpolated form (`x_fe` ) and then in the form obtained from the "current" MacroElement representation (if it exists – if not, `x` is the same as `x_fe` ). This allows the Domain/MacroElement- based representation to be used to apply displacement boundary conditions exactly. Ditto for the Lagrangian coordinates returned in xi_fe and xi. (Broken virtual – overload in specific geometric element class if you want to use this functionality.) More... | |

virtual void | set_macro_elem_pt (MacroElement *macro_elem_pt) |

Set pointer to MacroElement – overloads generic version and uses the MacroElement also as the default for the "undeformed" configuration. This assignment must be overwritten with set_undeformed_macro_elem_pt(...) if the deformation of the solid body is driven by a deformation of the "current" Domain/MacroElement representation of it's boundary. Can be overloaded in derived classes to perform additional tasks. More... | |

virtual void | set_macro_elem_pt (MacroElement *macro_elem_pt, MacroElement *undeformed_macro_elem_pt) |

Set pointers to "current" and "undeformed" MacroElements. Can be overloaded in derived classes to perform additional tasks. More... | |

void | set_undeformed_macro_elem_pt (MacroElement *undeformed_macro_elem_pt) |

Set pointer to "undeformed" macro element. Can be overloaded in derived classes to perform additional tasks. More... | |

MacroElement * | undeformed_macro_elem_pt () |

Access function to pointer to "undeformed" macro element. More... | |

double | dshape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi) const |

Calculate shape functions and derivatives w.r.t. Lagrangian coordinates at local coordinate s. Returns the Jacobian of the mapping from Lagrangian to local coordinates. More... | |

virtual double | dshape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi) const |

Return the geometric shape functions and also first derivatives w.r.t. Lagrangian coordinates at ipt-th integration point. More... | |

double | d2shape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const |

Compute the geometric shape functions and also first and second derivatives w.r.t. Lagrangian coordinates at local coordinate s; Returns Jacobian of mapping from Lagrangian to local coordinates. Numbering: 1D: d2pidxi(i,0) = 2D: d2psidxi(i,0) = d2psidxi(i,1) = d2psidxi(i,2) = 3D: d2psidxi(i,0) = d2psidxi(i,1) = d2psidxi(i,2) = d2psidxi(i,3) = d2psidxi(i,4) = d2psidxi(i,5) = . More... | |

virtual double | d2shape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const |

Return the geometric shape functions and also first and second derivatives w.r.t. Lagrangian coordinates at the ipt-th integration point. Returns Jacobian of mapping from Lagrangian to local coordinates. Numbering: 1D: d2pidxi(i,0) = 2D: d2psidxi(i,0) = d2psidxi(i,1) = d2psidxi(i,2) = 3D: d2psidxi(i,0) = d2psidxi(i,1) = d2psidxi(i,2) = d2psidxi(i,3) = d2psidxi(i,4) = d2psidxi(i,5) = . More... | |

unsigned | lagrangian_dimension () const |

Return the number of Lagrangian coordinates that the element requires at all nodes. This is by default the elemental dimension. If we ever need any other case, it can be implemented. More... | |

unsigned | nnodal_lagrangian_type () const |

Return the number of types of (generalised) nodal Lagrangian coordinates required to interpolate the Lagrangian coordinates in the element. (E.g. 1 for Lagrange-type elements; 2 for Hermite beam elements; 4 for Hermite shell elements). Default value is 1. Needs to be overloaded for any other element. More... | |

Node * | construct_node (const unsigned &n) |

Construct the local node n and return a pointer to it. More... | |

Node * | construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |

Construct the local node n and return a pointer to it. Additionally, create storage for `history' values as required by timestepper. More... | |

Node * | construct_boundary_node (const unsigned &n) |

Construct the local node n and return a pointer to it. in the case when it is a boundary node; that is it MAY be located on a Mesh boundary. More... | |

Node * | construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |

Construct the local node n and return a pointer to it, in the case when the node MAY be located on a boundary. Additionally, create storage for `history' values as required by timestepper. More... | |

virtual void | assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt) |

Overload assign_all_generic_local_equation numbers to include the data associated with solid dofs. It remains virtual so that it can be overloaded by RefineableSolidElements. If the boolean argument is true then the degrees of freedom are stored in Dof_pt. More... | |

void | describe_local_dofs (std::ostream &out, const std::string ¤t_string) const |

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(...) More... | |

double | raw_lagrangian_position (const unsigned &n, const unsigned &i) const |

Return i-th Lagrangian coordinate at local node n without using the hanging representation. More... | |

double | raw_lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |

Return Generalised Lagrangian coordinate at local node n. `Direction' i, `Type' k. Does not use the hanging node representation. More... | |

double | lagrangian_position (const unsigned &n, const unsigned &i) const |

Return i-th Lagrangian coordinate at local node n. More... | |

double | lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |

Return Generalised Lagrangian coordinate at local node n. `Direction' i, `Type' k. More... | |

virtual double | interpolated_xi (const Vector< double > &s, const unsigned &i) const |

Return i-th FE-interpolated Lagrangian coordinate xi[i] at local coordinate s. More... | |

virtual void | interpolated_xi (const Vector< double > &s, Vector< double > &xi) const |

Compute FE interpolated Lagrangian coordinate vector xi[] at local coordinate s as Vector. More... | |

virtual void | interpolated_dxids (const Vector< double > &s, DenseMatrix< double > &dxids) const |

Compute derivatives of FE-interpolated Lagrangian coordinates xi with respect to local coordinates: dxids[i][j]=dxi_i/ds_j. More... | |

virtual void | J_lagrangian (const Vector< double > &s) const |

Return the Jacobian of mapping from local to Lagrangian coordinates at local position s. NOT YET IMPLEMENTED. More... | |

virtual double | J_lagrangian_at_knot (const unsigned &ipt) const |

Return the Jacobian of the mapping from local to Lagrangian coordinates at the ipt-th integration point. NOT YET IMPLEMENTED. More... | |

SolidInitialCondition *& | solid_ic_pt () |

Pointer to object that describes the initial condition. More... | |

void | enable_solve_for_consistent_newmark_accel () |

Set to alter the problem being solved when assigning the initial conditions for time-dependent problems: solve for the history value that corresponds to the acceleration in the Newmark scheme by demanding that the PDE is satisifed at the initial time. In this case the Jacobian is replaced by the mass matrix. More... | |

void | disable_solve_for_consistent_newmark_accel () |

Set to reset the problem being solved to be the standard problem. More... | |

MultiplierFctPt & | multiplier_fct_pt () |

Access function: Pointer to multiplicator function for assignment of consistent assignement of initial conditions for Newmark scheme. More... | |

MultiplierFctPt | multiplier_fct_pt () const |

Access function: Pointer to multiplicator function for assignment of consistent assignement of initial conditions for Newmark scheme (const version) More... | |

virtual void | get_residuals_for_solid_ic (Vector< double > &residuals) |

Compute the residuals for the setup of an initial condition. The global equations are:
where is the number of nodes in the mesh and the number of generalised nodal coordinates. The initial shape of the solid body, and its time-derivatives are specified via the | |

void | fill_in_residuals_for_solid_ic (Vector< double > &residuals) |

Fill in the residuals for the setup of an initial condition. The global equations are:
where is the number of nodes in the mesh and the number of generalised nodal coordinates. The initial shape of the solid body, and its time-derivatives are specified via the | |

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

Fill in the residuals and Jacobian for the setup of an initial condition. The global equations are:
where is the number of nodes in the mesh and the number of generalised nodal coordinates. The initial shape of the solid body, and its time-derivatives are specified via the | |

void | fill_in_jacobian_for_newmark_accel (DenseMatrix< double > &jacobian) |

Fill in the contributions of the Jacobian matrix for the consistent assignment of the initial "accelerations" in Newmark scheme. In this case the Jacobian is the mass matrix. More... | |

void | compute_norm (double &el_norm) |

Calculate the L2 norm of the displacement u=R-r to overload the compute_norm function in the GeneralisedElement base class. More... | |

int | position_local_eqn (const unsigned &n, const unsigned &k, const unsigned &j) const |

Access function that returns the local equation number that corresponds to the j-th coordinate of the k-th position-type at the n-th local node. More... | |

Public Member Functions inherited from oomph::FiniteElement | |

void | set_dimension (const unsigned &dim) |

Set the dimension of the element and initially set the dimension of the nodes to be the same as the dimension of the element. More... | |

void | set_nodal_dimension (const unsigned &nodal_dim) |

Set the dimension of the nodes in the element. This will typically only be required when constructing FaceElements or in beam and shell type elements where a lower dimensional surface is embedded in a higher dimensional space. More... | |

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) |

Set the number of nodes in the element to n, by resizing the storage for pointers to the Node objects. More... | |

int | nodal_local_eqn (const unsigned &n, const unsigned &i) const |

Return the local equation number corresponding to the i-th value at the n-th local node. More... | |

double | dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const |

Compute the geometric shape functions (psi) at integration point ipt. Return the determinant of the jacobian of the mapping (detJ). Additionally calculate the derivatives of "detJ" w.r.t. the nodal coordinates. More... | |

FiniteElement () | |

Constructor. More... | |

virtual | ~FiniteElement () |

The destructor cleans up the static memory allocated for shape function storage. Internal and external data get wiped by the GeneralisedElement destructor; nodes get killed in mesh destructor. More... | |

FiniteElement (const FiniteElement &) | |

Broken copy constructor. More... | |

virtual bool | local_coord_is_valid (const Vector< double > &s) |

Broken assignment operator. More... | |

virtual bool | local_coord_is_valid (Vector< double > &s, const double &rounding_tolerance) |

Check whether the local coordinate are valid or not, allowing for a rounding tolerance. If the point is outside the element by less than the tolerance, we move it back into the element. More... | |

virtual void | local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction) |

Get the local fraction of the node j in the element A dumb, but correct default implementation is provided. More... | |

virtual double | local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i) |

Get the local fraction of any node in the n-th position in a one dimensional expansion along the i-th local coordinate. More... | |

MacroElement * | macro_elem_pt () |

Access function to pointer to macro element. More... | |

void | get_x (const Vector< double > &s, Vector< double > &x) const |

Global coordinates as function of local coordinates. Either via FE representation or via macro-element (if Macro_elem_pt!=0) More... | |

void | get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) |

Global coordinates as function of local coordinates at previous time "level" t (t=0: present; t>0: previous). Either via FE representation of QElement or via macro-element (if Macro_elem_pt!=0). More... | |

virtual void | get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const |

Global coordinates as function of local coordinates using macro element representation. (Broken virtual — this must be overloaded in specific geometric element classes) More... | |

virtual void | get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x) |

Global coordinates as function of local coordinates at previous time "level" t (t=0: present; t>0: previous). using macro element representation (Broken virtual – overload in specific geometric element class if you want to use this functionality.) More... | |

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 |

Return the geometric shape function at the ipt-th integration point. More... | |

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

Function to compute the geometric shape functions and derivatives w.r.t. local coordinates at local coordinate s. This function must be overloaded for each specific geometric element. (Broken virtual function — specifies the interface) More... | |

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

Return the geometric shape function and its derivative w.r.t. the local coordinates at the ipt-th integration point. More... | |

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

Function to compute the geometric shape functions and also first and second derivatives w.r.t. local coordinates at local coordinate s. This function must be overloaded for each specific geometric element (if required). (Broken virtual function — specifies the interface). Numbering: 1D: d2psids(i,0) = 2D: d2psids(i,0) = d2psids(i,1) = d2psids(i,2) = 3D: d2psids(i,0) = d2psids(i,1) = d2psids(i,2) = d2psids(i,3) = d2psids(i,4) = d2psids(i,5) = . More... | |

virtual void | d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const |

Return the geometric shape function and its first and second derivatives w.r.t. the local coordinates at the ipt-th integration point. Numbering: 1D: d2psids(i,0) = 2D: d2psids(i,0) = d2psids(i,1) = d2psids(i,2) = 3D: d2psids(i,0) = d2psids(i,1) = d2psids(i,2) = d2psids(i,3) = d2psids(i,4) = d2psids(i,5) = . More... | |

virtual double | J_eulerian (const Vector< double > &s) const |

Return the Jacobian of mapping from local to global coordinates at local position s. More... | |

virtual double | J_eulerian_at_knot (const unsigned &ipt) const |

Return the Jacobian of the mapping from local to global coordinates at the ipt-th integration point. More... | |

void | check_jacobian (const double &jacobian) const |

Helper function used to check for singular or negative Jacobians in the transform from local to global or Lagrangian coordinates. More... | |

double | dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const |

Compute the geometric shape functions and also first derivatives w.r.t. global coordinates at local coordinate s; Returns Jacobian of mapping from global to local coordinates. More... | |

virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const |

Return the geometric shape functions and also first derivatives w.r.t. global coordinates at the ipt-th integration point. More... | |

virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const |

Compute the geometric shape functions (psi) and first derivatives w.r.t. global coordinates (dpsidx) at the ipt-th integration point. Return the determinant of the jacobian of the mapping (detJ). Additionally calculate the derivatives of both "detJ" and "dpsidx" w.r.t. the nodal coordinates. More... | |

double | d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |

Compute the geometric shape functions and also first and second derivatives w.r.t. global coordinates at local coordinate s; Returns Jacobian of mapping from global to local coordinates. Numbering: 1D: d2psidx(i,0) = 2D: d2psidx(i,0) = d2psidx(i,1) = d2psidx(i,2) = 3D: d2psidx(i,0) = d2psidx(i,1) = d2psidx(i,2) = d2psidx(i,3) = d2psidx(i,4) = d2psidx(i,5) = . More... | |

virtual double | d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |

Return the geometric shape functions and also first and second derivatives w.r.t. global coordinates at ipt-th integration point. Numbering: 1D: d2psidx(i,0) = 2D: d2psidx(i,0) = d2psidx(i,1) = d2psidx(i,2) = 3D: d2psidx(i,0) = d2psidx(i,1) = d2psidx(i,2) = d2psidx(i,3) = d2psidx(i,4) = d2psidx(i,5) = . More... | |

virtual void | assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt) |

Assign the local equation numbers for Data stored at the nodes Virtual so that it can be overloaded by RefineableFiniteElements. If the boolean is true then the pointers to the degrees of freedom associated with each equation number are stored in Dof_pt. More... | |

virtual void | describe_nodal_local_dofs (std::ostream &out, const std::string ¤t_string) const |

Function to describe the local dofs of the element[s]. 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(...) More... | |

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 |

Return the number of nodes along one edge of the element Default is to return zero — must be overloaded by geometric elements. More... | |

double | raw_nodal_position (const unsigned &n, const unsigned &i) const |

Return the i-th coordinate at local node n. Do not use the hanging node representation. NOTE: Moved to cc file because of a possible compiler bug in gcc (yes, really!). The move to the cc file avoids inlining which appears to cause problems (only) when compiled with gcc and -O3; offensive "illegal read" is in optimised-out section of code and data that is allegedly illegal is readily readable (by other means) just before this function is called so I can't really see how we could possibly be responsible for this... More... | |

double | raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |

Return the i-th coordinate at local node n, at time level t (t=0: present; t>0: previous time level). Do not use the hanging node representation. More... | |

double | raw_dnodal_position_dt (const unsigned &n, const unsigned &i) const |

Return the i-th component of nodal velocity: dx/dt at local node n. Do not use the hanging node representation. More... | |

double | raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const |

Return the i-th component of j-th derivative of nodal position: d^jx/dt^j at node n. Do not use the hanging node representation. More... | |

double | raw_nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |

Return the value of the k-th type of the i-th positional variable at the local node n. Do not use the hanging node representation. More... | |

double | raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |

Return the generalised nodal position (type k, i-th variable) at previous timesteps at local node n. Do not use the hanging node representation. More... | |

double | raw_dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |

i-th component of time derivative (velocity) of the generalised position, dx(k,i)/dt at local node n. `Type': k; Coordinate direction: i. Do not use the hanging node representation. More... | |

double | raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |

i-th component of j-th time derivative of the generalised position, dx(k,i)/dt at local node n. `Type': k; Coordinate direction: i. Do not use the hanging node representation. More... | |

double | nodal_position (const unsigned &n, const unsigned &i) const |

Return the i-th coordinate at local node n. If the node is hanging, the appropriate interpolation is handled by the position function in the Node class. More... | |

double | nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |

Return the i-th coordinate at local node n, at time level t (t=0: present; t>0: previous time level) Returns suitably interpolated version for hanging nodes. More... | |

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 |

Return the i-th component of j-th derivative of nodal position: d^jx/dt^j at node n. More... | |

double | nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |

Return the value of the k-th type of the i-th positional variable at the local node n. More... | |

double | nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |

Return the generalised nodal position (type k, i-th variable) at previous timesteps at local node n. More... | |

double | dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |

i-th component of time derivative (velocity) of the generalised position, dx(k,i)/dt at local node n. `Type': k; Coordinate direction: i. More... | |

double | dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |

i-th component of j-th time derivative of the generalised position, dx(k,i)/dt at local node n. `Type': k; Coordinate direction: i. More... | |

virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |

Compute derivatives of elemental residual vector with respect to nodal coordinates. Default implementation by FD can be overwritten for specific elements. dresidual_dnodal_coordinates(l,i,j) = d res(l) / dX_{ij}. More... | |

virtual void | disable_ALE () |

This is an empty function that establishes a uniform interface for all (derived) elements that involve time-derivatives. Such elements are/should be implemented in ALE form to allow mesh motions. The additional expense associated with the computation of the mesh velocities is, of course, superfluous if the elements are used in problems in which the mesh is stationary. This function should therefore be overloaded in all derived elements that are formulated in ALE form to suppress the computation of the mesh velocities. The user disables the ALE functionality at his/her own risk! If the mesh does move after all, then the results will be wrong. Here we simply issue a warning message stating that the empty function has been called. More... | |

virtual void | enable_ALE () |

(Re-)enable ALE, i.e. take possible mesh motion into account when evaluating the time-derivative. This function is empty and simply establishes a common interface for all derived elements that are formulated in ALE form. More... | |

virtual unsigned | required_nvalue (const unsigned &n) const |

Number of values that must be stored at local node n by the element. The default is 0, until over-ridden by a particular element. For example, a Poisson equation requires only one value to be stored at each node; 2D Navier–Stokes equations require two values (velocity components) to be stored at each Node (provided that the pressure interpolation is discontinuous). More... | |

unsigned | nnodal_position_type () const |

Return the number of coordinate types that the element requires to interpolate the geometry between the nodes. For Lagrange elements it is 1. More... | |

bool | has_hanging_nodes () const |

Return boolean to indicate if any of the element's nodes are geometrically hanging. More... | |

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 |

Pointer to the j-th vertex node in the element. Broken virtual function in "pure" finite elements. More... | |

int | get_node_number (Node *const &node_pt) const |

Return the number of the node *node_pt if this node is in the element, else return -1;. More... | |

virtual Node * | get_node_at_local_coordinate (const Vector< double > &s) const |

If there is a node at this local coordinate, return the pointer to the node. More... | |

double | raw_nodal_value (const unsigned &n, const unsigned &i) const |

Return the i-th value stored at local node n but do NOT take hanging nodes into account. More... | |

double | raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |

Return the i-th value stored at local node n, at time level t (t=0: present; t>0 previous timesteps), but do NOT take hanging nodes into account. More... | |

double | nodal_value (const unsigned &n, const unsigned &i) const |

Return the i-th value stored at local node n. Produces suitably interpolated values for hanging nodes. More... | |

double | nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |

Return the i-th value stored at local node n, at time level t (t=0: present; t>0 previous timesteps). Produces suitably interpolated values for hanging nodes. More... | |

unsigned | dim () const |

Return the spatial dimension of the element, i.e. the number of local coordinates required to parametrise its geometry. More... | |

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 |

Return FE interpolated coordinate x[i] at local coordinate s at previous timestep t (t=0: present; t>0: previous timestep) More... | |

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 |

Return FE interpolated position x[] at local coordinate s at previous timestep t as Vector (t=0: present; t>0: previous timestep) More... | |

virtual double | interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t) |

Return t-th time-derivative of the i-th FE-interpolated Eulerian coordinate at local coordinate s. More... | |

virtual void | interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt) |

Compte t-th time-derivative of the FE-interpolated Eulerian coordinate vector at local coordinate s. More... | |

void | position (const Vector< double > &zeta, Vector< double > &r) const |

Return the parametrised position of the FiniteElement in its incarnation as a GeomObject, r(zeta). The position is given by the Eulerian coordinate and the intrinsic coordinate (zeta) is the local coordinate of the element (s). More... | |

void | position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const |

Return the parametrised position of the FiniteElement in its GeomObject incarnation: r(zeta). The position is given by the Eulerian coordinate and the intrinsic coordinate (zeta) is the local coordinate of the element (s) This version of the function returns the position as a function of time t=0: current time; t>0: previous timestep. Works for t=0 but needs to be overloaded if genuine time-dependence is required. More... | |

void | dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt) |

Return the t-th time derivative of the parametrised position of the FiniteElement in its GeomObject incarnation: . Call the t-th time derivative of the FE-interpolated Eulerian coordinate. More... | |

void | interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const |

Calculate the interpolated value of zeta, the intrinsic coordinate of the element when viewed as a compound geometric object within a Mesh as a function of the local coordinate of the element, s. The default assumption is the zeta is interpolated using the shape functions of the element with the values given by zeta_nodal(). More... | |

void | locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false) |

For a given value of zeta, the "global" intrinsic coordinate of a mesh of FiniteElements represented as a compound geometric object, find the local coordinate in this element that corresponds to the requested value of zeta. If zeta cannot be located in this element, geom_object_pt is set to NULL. If zeta is located in this element, we return its "this" pointer. By default don't use any value passed in to the local coordinate s as the initial guess in the Newton method. More... | |

virtual void | node_update () |

Update the positions of all nodes in the element using each node update function. The default implementation may be overloaded so that more efficient versions can be written. More... | |

virtual void | identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned > > &paired_field_data) |

The purpose of this function is to identify all possible Data that can affect the fields interpolated by the FiniteElement. The information will typically be used in interaction problems in which the FiniteElement provides a forcing term for an ElementWithExternalElement. The Data must be provided as `paired_load` data containing. More... | |

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 |

Broken virtual function to compute the actual size (taking into account factors such as 2pi or radii the integrand) – such function can only be implemented on an equation-by-equation basis. More... | |

virtual void | point_output_data (const Vector< double > &s, Vector< double > &data) |

Virtual function to write the double precision numbers that appear in a single line of output into the data vector. Empty virtual, can be overloaded for specific elements; used e.g. by LineVisualiser. More... | |

void | point_output (std::ostream &outfile, const Vector< double > &s) |

Output solution (as defined by point_output_data()) at local cordinates s. More... | |

virtual unsigned | nplot_points_paraview (const unsigned &nplot) const |

Return the number of actual plot points for paraview plot with parameter nplot. Broken virtual; can be overloaded in specific elements. More... | |

virtual unsigned | nsub_elements_paraview (const unsigned &nplot) const |

Return the number of local sub-elements for paraview plot with parameter nplot. Broken virtual; can be overloaded in specific elements. More... | |

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

Paraview output – this outputs the coordinates at the plot points (for parameter nplot) to specified output file. More... | |

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

Fill in the offset information for paraview plot. Broken virtual. Needs to be implemented for each new geometric element type; see http://www.vtk.org/VTK/img/file-formats.pdf. More... | |

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

Return the paraview element type. Broken virtual. Needs to be implemented for each new geometric element type; see http://www.vtk.org/VTK/img/file-formats.pdf. More... | |

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

Return the offsets for the paraview sub-elements. Broken virtual. Needs to be implemented for each new geometric element type; see http://www.vtk.org/VTK/img/file-formats.pdf. More... | |

virtual unsigned | nscalar_paraview () const |

Number of scalars/fields output by this element. Broken virtual. Needs to be implemented for each new specific element type. More... | |

virtual void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |

Write values of the i-th scalar field at the plot points. Broken virtual. Needs to be implemented for each new specific element type. More... | |

virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const |

Write values of the i-th scalar field at the plot points. Broken virtual. Needs to be implemented for each new specific element type. More... | |

virtual std::string | scalar_name_paraview (const unsigned &i) const |

Name of the i-th scalar field. Default implementation returns V1 for the first one, V2 for the second etc. Can (should!) be overloaded with more meaningful names in specific elements. More... | |

virtual void | output (std::ostream &outfile) |

Output the element data — typically the values at the nodes in a format suitable for post-processing. More... | |

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

Output the element data — pass (some measure of) the number of plot points per element. More... | |

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

Output the element data at time step t. This is const because it is newly added and so can be done easily. Really all the output(...) functions should be const! More... | |

virtual void | output (FILE *file_pt) |

Output the element data — typically the values at the nodes in a format suitable for post-processing. (C style output) More... | |

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

Output the element data — pass (some measure of) the number of plot points per element (C style output) More... | |

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 |

Get cector of local coordinates of plot point i (when plotting nplot points in each "coordinate direction"). More... | |

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

Return string for tecplot zone header (when plotting nplot points in each "coordinate direction") More... | |

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

Add tecplot zone "footer" to output stream (when plotting nplot points in each "coordinate direction"). Empty by default – can be used, e.g., to add FE connectivity lists to elements that need it. More... | |

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

Add tecplot zone "footer" to C-style output. (when plotting nplot points in each "coordinate direction"). Empty by default – can be used, e.g., to add FE connectivity lists to elements that need it. More... | |

virtual unsigned | nplot_points (const unsigned &nplot) const |

Return total number of plot points (when plotting nplot points in each "coordinate direction") More... | |

virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |

Plot the error when compared against a given exact solution . Also calculates the norm of the error and that of the exact solution. More... | |

virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |

Plot the error when compared against a given time-dependent exact solution . Also calculates the norm of the error and that of the exact solution. More... | |

virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |

Plot the error when compared against a given exact solution . Also calculates the norm of the error and that of the exact solution. Version with vectors of norms and errors so that different variables' norms and errors can be returned individually. More... | |

virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |

Plot the error when compared against a given time-dependent exact solution . Also calculates the norm of the error and that of the exact solution. Version with vectors of norms and errors so that different variables' norms and errors can be returned individually. More... | |

virtual void | compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error) |

Plot the error when compared against a given exact solution . Also calculates the maximum absolute error. More... | |

void | integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral) |

Evaluate integral of a Vector-valued function over the element. More... | |

void | integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral) |

Evaluate integral of a Vector-valued, time-dependent function over the element. More... | |

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

Function for building a lower dimensional FaceElement on the specified face of the FiniteElement. The arguments are the index of the face, an integer whose value depends on the particular element type, and a pointer to the FaceElement. More... | |

virtual unsigned | self_test () |

Self-test: Check inversion of element & do self-test for GeneralisedElement. Return 0 if OK. More... | |

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 |

Get a pointer to the function mapping face coordinates to bulk coordinates. More... | |

virtual BulkCoordinateDerivativesFctPt | bulk_coordinate_derivatives_fct_pt (const int &face_index) const |

Public Member Functions inherited from oomph::GeneralisedElement | |

GeneralisedElement() | GeneralisedElement (const GeneralisedElement &) |

Constructor: Initialise all pointers and all values to zero. More... | |

void | operator= (const GeneralisedElement &) |

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 |

Return the global equation number corresponding to the ieqn_local-th local equation number. More... | |

int | local_eqn_number (const unsigned long &ieqn_global) const |

Return the local equation number corresponding to the ieqn_global-th global equation number. Returns minus one (-1) if there is no local degree of freedom corresponding to the chosen global equation number. More... | |

unsigned | add_external_data (Data *const &data_pt, const bool &fd=true) |

bool | external_data_fd (const unsigned &i) const |

Return the status of the boolean flag indicating whether the external data is included in the finite difference loop. More... | |

void | exclude_external_data_fd (const unsigned &i) |

Set the boolean flag to exclude the external datum from the the finite difference loop when computing the jacobian matrix. More... | |

void | include_external_data_fd (const unsigned &i) |

Set the boolean flag to include the external datum in the the finite difference loop when computing the jacobian matrix. More... | |

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) |

Set the timestepper associated with the i-th internal data object. More... | |

void | assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt) |

Assign the global equation numbers to the internal Data. The arguments are the current highest global equation number (which will be incremented) and a Vector of pointers to the global variables (to which any unpinned values in the internal Data are added). More... | |

void | describe_dofs (std::ostream &out, const std::string ¤t_string) const |

Function to describe the 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(...) More... | |

void | add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt) |

Add pointers to the internal data values to map indexed by the global equation number. More... | |

void | add_internal_data_values_to_vector (Vector< double > &vector_of_values) |

Add all internal data and time history values to the vector in the internal storage order. More... | |

void | read_internal_data_values_from_vector (const Vector< double > &vector_of_values, unsigned &index) |

Read all internal data and time history values from the vector starting from index. On return the index will be set to the value at the end of the data that has been read in. More... | |

void | add_internal_eqn_numbers_to_vector (Vector< long > &vector_of_eqn_numbers) |

Add all equation numbers associated with internal data to the vector in the internal storage order. More... | |

void | read_internal_eqn_numbers_from_vector (const Vector< long > &vector_of_eqn_numbers, unsigned &index) |

Read all equation numbers associated with internal data from the vector starting from index. On return the index will be set to the value at the end of the data that has been read in. More... | |

virtual void | assign_local_eqn_numbers (const bool &store_local_dof_pt) |

Setup the arrays of local equation numbers for the element. If the optional boolean argument is true, then pointers to the associated degrees of freedom are stored locally in the array Dof_pt. More... | |

virtual void | complete_setup_of_dependencies () |

Complete the setup of any additional dependencies that the element may have. Empty virtual function that may be overloaded for specific derived elements. Used, e.g., for elements with algebraic node update functions to determine the "geometric
Data", i.e. the Data that affects the element's shape. This function is called (for all elements) at the very beginning of the equation numbering procedure to ensure that all dependencies are accounted for. More... | |

virtual void | get_residuals (Vector< double > &residuals) |

Calculate the vector of residuals of the equations in the element. By default initialise the vector to zero and then call the fill_in_contribution_to_residuals() function. Note that this entire function can be overloaded if desired. More... | |

virtual void | get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |

Calculate the elemental Jacobian matrix "d equation / d variable". More... | |

virtual void | get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |

Calculate the residuals and the elemental "mass" matrix, the matrix that multiplies the time derivative terms in a problem. More... | |

virtual void | get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |

Calculate the residuals and jacobian and elemental "mass" matrix, the matrix that multiplies the time derivative terms. More... | |

virtual void | get_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |

Calculate the derivatives of the residuals with respect to a parameter. More... | |

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

Calculate the derivatives of the elemental Jacobian matrix and residuals with respect to a parameter. More... | |

virtual void | get_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |

Calculate the derivatives of the elemental Jacobian matrix mass matrix and residuals with respect to a parameter. More... | |

virtual void | get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |

Calculate the product of the Hessian (derivative of Jacobian with respect to all variables) an eigenvector, Y, and other specified vectors, C (d(J_{ij})/d u_{k}) Y_{j} C_{k}. More... | |

virtual void | get_inner_products (Vector< std::pair< unsigned, unsigned > > const &history_index, Vector< double > &inner_product) |

Return the vector of inner product of the given pairs of history values. More... | |

virtual void | get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double > > &inner_product_vector) |

Compute the vectors that when taken as a dot product with other history values give the inner product over the element. More... | |

void | set_halo (const unsigned &non_halo_proc_ID) |

Label the element as halo and specify processor that holds non-halo counterpart. More... | |

void | set_nonhalo () |

Label the element as not being a halo. More... | |

bool | is_halo () const |

Is this element a halo? More... | |

int | non_halo_proc_ID () |

ID of processor ID that holds non-halo counterpart of halo element; negative if not a halo. More... | |

void | set_must_be_kept_as_halo () |

Insist that this element be kept as a halo element during a distribute? More... | |

void | unset_must_be_kept_as_halo () |

Do not insist that this element be kept as a halo element during distribution. More... | |

bool | must_be_kept_as_halo () const |

Test whether the element must be kept as a halo element. More... | |

virtual unsigned | ndof_types () const |

The number of types of degrees of freedom in this element are sub-divided into. More... | |

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

Create a list of pairs for the unknowns that this element is "in charge of" – ignore any unknowns associated with external `Data` . The first entry in each pair must contain the global equation number of the unknown, while the second one contains the number of the DOF type that this unknown is associated with. (The function can obviously only be called if the equation numbering scheme has been set up.) More... | |

Public Member Functions inherited from oomph::GeomObject | |

GeomObject () | |

Default constructor. More... | |

GeomObject (const unsigned &ndim) | |

Constructor: Pass dimension of geometric object (# of Eulerian coords = # of Lagrangian coords; no time history available/needed) More... | |

GeomObject (const unsigned &nlagrangian, const unsigned &ndim) | |

Constructor: pass # of Eulerian and Lagrangian coordinates. No time history available/needed. More... | |

GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt) | |

Constructor: pass # of Eulerian and Lagrangian coordinates and pointer to time-stepper which is used to handle the position at previous timesteps and allows the evaluation of veloc/acceleration etc. in cases where the GeomData varies with time. More... | |

GeomObject (const GeomObject &dummy) | |

Broken copy constructor. More... | |

void | operator= (const GeomObject &) |

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 () |

Access function for pointer to time stepper: Null if object is not time-dependent. More... | |

TimeStepper * | time_stepper_pt () const |

Access function for pointer to time stepper: Null if object is not time-dependent. Const version. More... | |

virtual void | dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const |

Derivative of position Vector w.r.t. to coordinates: = drdzeta(alpha,i). Evaluated at current time. More... | |

virtual void | d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const |

2nd derivative of position Vector w.r.t. to coordinates: = ddrdzeta(alpha,beta,i). Evaluated at current time. More... | |

virtual void | d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const |

Posn Vector and its 1st & 2nd derivatives w.r.t. to coordinates: = drdzeta(alpha,i). = ddrdzeta(alpha,beta,i). Evaluated at current time. More... | |

Public Member Functions inherited from oomph::PointElement | |

PointElement () | |

Constructor. More... | |

PointElement (const PointElement &) | |

Broken copy constructor. More... | |

void | shape (const Vector< double > &s, Shape &psi) const |

Broken assignment operator. More... | |

void | local_coordinate_of_node (const unsigned &j, Vector< double > &s) const |

Get local coordinates of node j in the element; vector sets its own size. More... | |

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 |

Boolean that if set to true allows a negative jacobian in the transform between global and local coordinates (negative surface area = left-handed coordinate system). More... | |

static bool | Suppress_output_while_checking_for_inverted_elements =false |

Static boolean to suppress output while checking for inverted elements. More... | |

Static Public Attributes inherited from oomph::GeneralisedElement | |

static bool | Suppress_warning_about_repeated_internal_data =false |

Static boolean to suppress warnings about repeated internal data. Defaults to false. More... | |

static bool | Suppress_warning_about_repeated_external_data =true |

Static boolean to suppress warnings about repeated external data. Defaults to true. More... | |

static double | Default_fd_jacobian_step =1.0e-8 |

Double used for the default finite difference step in elemental jacobian calculations. More... | |

Protected Member Functions inherited from oomph::SolidFiniteElement | |

void | fill_in_generic_jacobian_for_solid_ic (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag) |

Helper function to fill in the residuals and (if flag==1) the Jacobian for the setup of an initial condition. The global equations are:
| |

void | set_nnodal_lagrangian_type (const unsigned &nlagrangian_type) |

Set the number of types required to interpolate the Lagrangian coordinates. More... | |

virtual double | local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to lagrangian coordinates, given the derivatives of the shape functions w.r.t. local coorindates. Return the determinant of the jacobian, the jacobian and inverse jacobian. More... | |

double | local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to lagrangian coordinates, given the derivatives of the shape functions w.r.t. local coordinates, Return only the determinant of the jacobian and the inverse of the mapping (ds/dx) More... | |

virtual double | local_to_lagrangian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to Lagrangian coordinates given the derivatives of the shape functions w.r.t the local coorindates. assuming that the coordinates are aligned in the direction of the local coordinates, i.e. there are no cross terms and the jacobian is diagonal. This function returns the determinant of the jacobian, the jacobian and the inverse jacobian. More... | |

virtual void | assign_solid_local_eqn_numbers (const bool &store_local_dof) |

Assigns local equation numbers for the generic solid local equation numbering schemes. If the boolean flag is true the the degrees of freedom are stored in Dof_pt. More... | |

void | describe_solid_local_dofs (std::ostream &out, const std::string ¤t_string) const |

Classifies dofs locally for solid specific aspects. More... | |

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

Overload the fill_in_contribution_to_jacobian() function to use finite differences to calculate the solid residuals by default. More... | |

virtual void | fill_in_jacobian_from_solid_position_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian) |

Use finite differences to calculate the Jacobian entries corresponding to the solid positions. This version assumes that the residuals vector has already been computed. More... | |

void | fill_in_jacobian_from_solid_position_by_fd (DenseMatrix< double > &jacobian) |

Use finite differences to calculate the Jacobian entries corresponding to the solid positions. More... | |

virtual void | update_before_solid_position_fd () |

Function that is called before the finite differencing of any solid position data. This may be overloaded to update any slaved data before finite differencing takes place. More... | |

virtual void | reset_after_solid_position_fd () |

Function that is call after the finite differencing of the solid position data. This may be overloaded to reset any slaved variables that may have changed during the finite differencing. More... | |

virtual void | update_in_solid_position_fd (const unsigned &i) |

Function called within the finite difference loop for the solid position dat after a change in any values in the n-th node. More... | |

virtual void | reset_in_solid_position_fd (const unsigned &i) |

Function called within the finite difference loop for solid position data after the values in the i-th node are reset. The default behaviour is to call the update function. More... | |

Protected Member Functions inherited from oomph::FiniteElement | |

virtual void | assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const |

Assemble the jacobian matrix for the mapping from local to Eulerian coordinates, given the derivatives of the shape function w.r.t the local coordinates. More... | |

virtual void | assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const |

Assemble the the "jacobian" matrix of second derivatives of the mapping from local to Eulerian coordinates, given the second derivatives of the shape functions w.r.t. local coordinates. More... | |

virtual void | assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const |

Assemble the covariant Eulerian base vectors, assuming that the derivatives of the shape functions with respect to the local coordinates have already been constructed. More... | |

template<unsigned DIM> | |

double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |

Take the matrix passed as jacobian and return its inverse in inverse_jacobian. This function is templated by the dimension of the element because matrix inversion cannot be written efficiently in a generic manner. More... | |

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

A template-free interface that takes the matrix passed as jacobian and return its inverse in inverse_jacobian. By default the function will use the dimension of the element to call the correct invert_jacobian(..) function. This should be overloaded for efficiency (removal of a switch statement) in specific elements. More... | |

virtual double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to Eulerian coordinates, given the derivatives of the shape functions w.r.t. local coordinates. Returns the determinant of the jacobian, the jacobian and inverse jacobian. More... | |

double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to Eulerian coordinates, given the derivatives of the shape functions w.r.t. local coordinates, Return only the determinant of the jacobian and the inverse of the mapping (ds/dx). More... | |

virtual double | local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |

Calculate the mapping from local to Eulerian coordinates given the derivatives of the shape functions w.r.t the local coordinates. assuming that the coordinates are aligned in the direction of the local coordinates, i.e. there are no cross terms and the jacobian is diagonal. This function returns the determinant of the jacobian, the jacobian and the inverse jacobian. More... | |

virtual void | dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |

A template-free interface that calculates the derivative of the jacobian of a mapping with respect to the nodal coordinates X_ij. To do this it requires the jacobian matrix and the derivatives of the shape functions w.r.t. the local coordinates. By default the function will use the dimension of the element to call the correct dJ_eulerian_dnodal_coordinates_templated_helper(..) function. This should be overloaded for efficiency (removal of a switch statement) in specific elements. More... | |

template<unsigned DIM> | |

void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |

Calculate the derivative of the jacobian of a mapping with respect to the nodal coordinates X_ij using the jacobian matrix and the derivatives of the shape functions w.r.t. the local coordinates. This function is templated by the dimension of the element. More... | |

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 |

A template-free interface that calculates the derivative w.r.t. the nodal coordinates of the derivative of the shape functions w.r.t. the global eulerian coordinates . I.e. this function calculates
To do this it requires the determinant of the jacobian mapping, its derivative w.r.t. the nodal coordinates , the inverse jacobian and the derivatives of the shape functions w.r.t. the local coordinates. The result is returned as a tensor of rank four. Numbering: d_dpsidx_dX(p,q,j,i) = By default the function will use the dimension of the element to call the correct d_dshape_eulerian_dnodal_coordinates_templated_helper(..) function. This should be overloaded for efficiency (removal of a switch statement) in specific elements. More... | |

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 |

Calculate the derivative w.r.t. the nodal coordinates of the derivative of the shape functions w.r.t. the global eulerian coordinates , using the determinant of the jacobian mapping, its derivative w.r.t. the nodal coordinates , the inverse jacobian and the derivatives of the shape functions w.r.t. the local coordinates. The result is returned as a tensor of rank four. Numbering: d_dpsidx_dX(p,q,j,i) = This function is templated by the dimension of the element. More... | |

virtual void | transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |

Convert derivative w.r.t.local coordinates to derivatives w.r.t the coordinates used to assemble the inverse_jacobian passed in the mapping. On entry, dbasis must contain the basis function derivatives w.r.t. the local coordinates; it will contain the derivatives w.r.t. the new coordinates on exit. This is virtual so that it may be overloaded if desired for efficiency reasons. More... | |

void | transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |

Convert derivative w.r.t local coordinates to derivatives w.r.t the coordinates used to assemble the inverse jacobian passed in the mapping, assuming that the coordinates are aligned in the direction of the local coordinates. On entry dbasis must contain the derivatives of the basis functions w.r.t. the local coordinates; it will contain the derivatives w.r.t. the new coordinates. are converted into the new using the mapping inverse_jacobian. More... | |

virtual void | transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |

Convert derivatives and second derivatives w.r.t. local coordiantes to derivatives and second derivatives w.r.t. the coordinates used to assemble the jacobian, inverse jacobian and jacobian2 passed to the function. By default this function will call transform_second_derivatives_template<>(...) using the dimension of the element as the template parameter. It is virtual so that it can be overloaded by a specific element to save using a switch statement. Optionally, the element writer may wish to use the transform_second_derivatives_diagonal<>(...) function On entry dbasis and d2basis must contain the derivatives w.r.t. the local coordinates; on exit they will be the derivatives w.r.t. the transformed coordinates. More... | |

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 |

Convert derivatives and second derivatives w.r.t. local coordinates to derivatives and second derivatives w.r.t. the coordinates used to asssmble the jacobian, inverse jacobian and jacobian2 passed in the mapping. This is templated by dimension because the method of calculation varies significantly with the dimension. On entry dbasis and d2basis must contain the derivatives w.r.t. the local coordinates; on exit they will be the derivatives w.r.t. the transformed coordinates. More... | |

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 |

Convert derivatives and second derivatives w.r.t. local coordinates to derivatives and second derivatives w.r.t. the coordinates used to asssmble the jacobian, inverse jacobian and jacobian2 passed in the mapping. This version of the function assumes that the local coordinates are aligned with the global coordinates, i.e. the jacobians are diagonal On entry dbasis and d2basis must contain the derivatives w.r.t. the local coordinates; on exit they will be the derivatives w.r.t. the transformed coordinates. More... | |

virtual void | fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian) |

Calculate the contributions to the jacobian from the nodal degrees of freedom using finite differences. This version of the function assumes that the residuals vector has already been calculated. More... | |

void | fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian) |

Calculate the contributions to the jacobian from the nodal degrees of freedom using finite differences. This version computes the residuals vector before calculating the jacobian terms. More... | |

virtual void | update_before_nodal_fd () |

Function that is called before the finite differencing of any nodal data. This may be overloaded to update any slaved data before finite differencing takes place. More... | |

virtual void | reset_after_nodal_fd () |

Function that is call after the finite differencing of the nodal data. This may be overloaded to reset any slaved variables that may have changed during the finite differencing. More... | |

virtual void | update_in_nodal_fd (const unsigned &i) |

Function called within the finite difference loop for nodal data after a change in the i-th nodal value. More... | |

virtual void | reset_in_nodal_fd (const unsigned &i) |

Function called within the finite difference loop for nodal data after the i-th nodal values is reset. The default behaviour is to call the update function. More... | |

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 | |

Two-d specialisation of function to calculate inverse of jacobian mapping. More... | |

template<> | |

double | |

Three-d specialisation of function to calculate inverse of jacobian mapping. More... | |

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 | |

template<> | |

void | |

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 | |

template<> | |

void | |

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) |

Add a (pointer to an) internal data object to the element and return the index required to obtain it from the access function `internal_data_pt()` . The boolean indicates whether the datum should be included in the general finite-difference loop when calculating the jacobian. The default value is true, i.e. the data will be included in the finite differencing. More... | |

bool | internal_data_fd (const unsigned &i) const |

Return the status of the boolean flag indicating whether the internal data is included in the finite difference loop. More... | |

void | exclude_internal_data_fd (const unsigned &i) |

Set the boolean flag to exclude the internal datum from the finite difference loop when computing the jacobian matrix. More... | |

void | include_internal_data_fd (const unsigned &i) |

Set the boolean flag to include the internal datum in the finite difference loop when computing the jacobian matrix. More... | |

void | clear_global_eqn_numbers () |

Clear the storage for the global equation numbers and pointers to dofs (if stored) More... | |

void | add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt) |

Add the contents of the queue global_eqn_numbers to the local storage for the local-to-global translation scheme. It is essential that the entries in the queue are added IN ORDER i.e. from the front. More... | |

virtual void | assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt) |

Assign the local equation numbers for the internal and external Data This must be called after the global equation numbers have all been assigned. It is virtual so that it can be overloaded by ElementWithExternalElements so that any external data from the external elements in included in the numbering scheme. If the boolean argument is true then pointers to the dofs will be stored in Dof_pt. More... | |

virtual void | assign_additional_local_eqn_numbers () |

Setup any additional look-up schemes for local equation numbers. Examples of use include using local storage to refer to explicit degrees of freedom. The additional memory cost of such storage may or may not be offset by fast local access. More... | |

int | internal_local_eqn (const unsigned &i, const unsigned &j) const |

Return the local equation number corresponding to the j-th value stored at the i-th internal data. More... | |

int | external_local_eqn (const unsigned &i, const unsigned &j) |

Return the local equation number corresponding to the j-th value stored at the i-th external data. More... | |

virtual void | fill_in_contribution_to_residuals (Vector< double > &residuals) |

Add the elemental contribution to the residuals vector. Note that this function will NOT initialise the residuals vector. It must be called after the residuals vector has been initialised to zero. More... | |

void | fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |

Calculate the contributions to the jacobian from the internal degrees of freedom using finite differences. This version of the function assumes that the residuals vector has already been calculated. If the boolean argument is true, the finite differencing will be performed for all internal data, irrespective of the information in Data_fd. The default value (false) uses the information in Data_fd to selectively difference only certain data. More... | |

void | fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |

Calculate the contributions to the jacobian from the internal degrees of freedom using finite differences. This version computes the residuals vector before calculating the jacobian terms. If the boolean argument is true, the finite differencing will be performed for all internal data, irrespective of the information in Data_fd. The default value (false) uses the information in Data_fd to selectively difference only certain data. More... | |

void | fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |

Calculate the contributions to the jacobian from the external degrees of freedom using finite differences. This version of the function assumes that the residuals vector has already been calculated. If the boolean argument is true, the finite differencing will be performed for all external data, irrespective of the information in Data_fd. The default value (false) uses the information in Data_fd to selectively difference only certain data. More... | |

void | fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |

Calculate the contributions to the jacobian from the external degrees of freedom using finite differences. This version computes the residuals vector before calculating the jacobian terms. If the boolean argument is true, the finite differencing will be performed for all internal data, irrespective of the information in Data_fd. The default value (false) uses the information in Data_fd to selectively difference only certain data. More... | |

virtual void | update_before_internal_fd () |

Function that is called before the finite differencing of any internal data. This may be overloaded to update any slaved data before finite differencing takes place. More... | |

virtual void | reset_after_internal_fd () |

Function that is call after the finite differencing of the internal data. This may be overloaded to reset any slaved variables that may have changed during the finite differencing. More... | |

virtual void | update_in_internal_fd (const unsigned &i) |

Function called within the finite difference loop for internal data after a change in any values in the i-th internal data object. More... | |

virtual void | reset_in_internal_fd (const unsigned &i) |

Function called within the finite difference loop for internal data after the values in the i-th external data object are reset. The default behaviour is to call the update function. More... | |

virtual void | update_before_external_fd () |

Function that is called before the finite differencing of any external data. This may be overloaded to update any slaved data before finite differencing takes place. More... | |

virtual void | reset_after_external_fd () |

Function that is call after the finite differencing of the external data. This may be overloaded to reset any slaved variables that may have changed during the finite differencing. More... | |

virtual void | update_in_external_fd (const unsigned &i) |

Function called within the finite difference loop for external data after a change in any values in the i-th external data object. More... | |

virtual void | reset_in_external_fd (const unsigned &i) |

Function called within the finite difference loop for external data after the values in the i-th external data object are reset. The default behaviour is to call the update function. More... | |

virtual void | fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |

Add the elemental contribution to the mass matrix matrix. and the residuals vector. Note that this function should NOT initialise the residuals vector or the mass matrix. It must be called after the residuals vector and jacobian matrix have been initialised to zero. The default is deliberately broken. More... | |

virtual void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |

Add the elemental contribution to the jacobian matrix, mass matrix and the residuals vector. Note that this function should NOT initialise any entries. It must be called after the residuals vector and matrices have been initialised to zero. More... | |

virtual void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |

Add the elemental contribution to the derivatives of the residuals with respect to a parameter. This function should NOT initialise any entries and must be called after the entries have been initialised to zero The default implementation is to use finite differences to calculate the derivatives. More... | |

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

Add the elemental contribution to the derivatives of the elemental Jacobian matrix and residuals with respect to a parameter. This function should NOT initialise any entries and must be called after the entries have been initialised to zero The default implementation is to use finite differences to calculate the derivatives. More... | |

virtual void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |

Add the elemental contribution to the derivative of the jacobian matrix, mass matrix and the residuals vector with respect to the passed parameter. Note that this function should NOT initialise any entries. It must be called after the residuals vector and matrices have been initialised to zero. More... | |

virtual void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |

Fill in contribution to the product of the Hessian (derivative of Jacobian with respect to all variables) an eigenvector, Y, and other specified vectors, C (d(J_{ij})/d u_{k}) Y_{j} C_{k}. More... | |

virtual void | fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned > > const &history_index, Vector< double > &inner_product) |

Fill in the contribution to the inner products between given pairs of history values. More... | |

virtual void | fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double > > &inner_product_vector) |

Fill in the contributions to the vectors that when taken as dot product with other history values give the inner product over the element. More... | |

Protected Attributes inherited from oomph::SolidFiniteElement | |

MacroElement * | Undeformed_macro_elem_pt |

Pointer to the element's "undeformed" macro element (NULL by default) More... | |

SolidInitialCondition * | Solid_ic_pt |

Pointer to object that specifies the initial condition. More... | |

bool | Solve_for_consistent_newmark_accel_flag |

Flag to indicate which system of equations to solve when assigning initial conditions for time-dependent problems. If true, solve for the history value that corresponds to the acceleration in the Newmark scheme by demanding that the PDE is satisifed at the initial time. In this case the Jacobian is replaced by the mass matrix. More... | |

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::GeneralisedElement | |

int | Non_halo_proc_ID |

Non-halo processor ID for Data; -1 if it's not a halo. More... | |

bool | Must_be_kept_as_halo |

Does this element need to be kept as a halo element during a distribute? 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 |

Timestepper (used to handle access to geometry at previous timesteps) More... | |

Static Protected Attributes inherited from oomph::FiniteElement | |

static const unsigned | Default_Initial_Nvalue = 0 |

Default return value for required_nvalue(n) which gives the number of "data" values required by the element at node n; for example, solving a Poisson equation would required only one "data" value at each node. The defaults is set to zero, because a general element is problem-less. More... | |

static const double | Node_location_tolerance = 1.0e-14 |

Default value for the tolerance to be used when locating nodes via local coordinates. More... | |

static const unsigned | N2deriv [] ={0,1,3,6} |

Static array that holds the number of second derivatives as a function of the dimension of the element. More... | |

Static Protected Attributes inherited from oomph::GeneralisedElement | |

static DenseMatrix< double > | Dummy_matrix |

Empty dense matrix used as a dummy argument to combined residual and jacobian functions in the case when only the residuals are being assembled. More... | |

static std::deque< double * > | Dof_pt_deque |

Static storage for deque used to add_global_equation_numbers when pointers to the dofs in each element are not required. More... | |

Solid point element.

Definition at line 4685 of file elements.h.

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