Various general functions and classes. More...

Classes
class	HArDCore3D::GlobalDOFSpace
	Base class for global DOF spaces. Provides functions to manipulate global DOFs (the local version being provided by DOFSpace). More...

struct	HArDCore3D::IntegralWeight
	Structure for weights (scalar, at the moment) in integral. More...

struct	HArDCore3D::LocalStaticCondensation
	Structure to store information for, and perform, local static condensation. More...

class	HArDCore3D::LocalDOFSpace
	Base class for DOF spaces: functions to access local DOFs (organised from the smallest dimension to the largest) associated with each geometric entity. More...

struct	HArDCore3D::SystemVectors< MatrixType >
	Struct to store the systems and vector. More...

struct	HArDCore3D::PolynomialSpaceDimension< GeometricSupport >
	Basis dimensions for various polynomial spaces on edges/faces/elements (when relevant): Pk, Gk, Rk and complements. More...

struct	HArDCore3D::PolynomialSpaceDimension< Cell >

struct	HArDCore3D::PolynomialSpaceDimension< Face >

struct	HArDCore3D::PolynomialSpaceDimension< Edge >

class	HArDCore3D::VariableDOFSpace
	Base class for global DOF spaces. More...

Typedefs
typedef std::function< double(const Cell &, const Eigen::Vector3d &)>	HArDCore3D::IntegralWeightValueType

typedef std::function< size_t(const Cell &)>	HArDCore3D::IntegralWeightDegreeType

Functions
std::pair< double, double >	HArDCore3D::store_times (boost::timer::cpu_timer &timer, std::string message="")
	Function to store and display wall/proc timers from boost::timer::cpu_timer. More...

	HArDCore3D::GlobalDOFSpace::GlobalDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_face_dofs, size_t n_local_cell_dofs)
	Constructor. More...

size_t	HArDCore3D::GlobalDOFSpace::globalOffset (const Vertex &V) const
	Return the global offset for the unknowns on the vertex V. More...

size_t	HArDCore3D::GlobalDOFSpace::globalOffset (const Edge &E) const
	Return the global offset for the unknowns on the edge E. More...

size_t	HArDCore3D::GlobalDOFSpace::globalOffset (const Face &F) const
	Return the global offset for the unknowns on the face F. More...

size_t	HArDCore3D::GlobalDOFSpace::globalOffset (const Cell &T) const
	Return the global offset for the unknowns on the cell T. More...

size_t	HArDCore3D::GlobalDOFSpace::globalOffset (size_t d, size_t i) const
	Return the global offset for the unknows on the i-th element of dimension d. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrictEdge (size_t iE, const Eigen::VectorXd &vh) const
	Restrict to the edge (including its vertices) of index iE. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrictFace (size_t iF, const Eigen::VectorXd &vh) const
	Restrict to the face (including vertices and edges) of index iF. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrictCell (size_t iT, const Eigen::VectorXd &vh) const
	Restrict to the cell (including vertices, edges and faces) of index iT. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrict (const Edge &E, const Eigen::VectorXd vh) const
	Restrict to an edge. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrict (const Face &F, const Eigen::VectorXd vh) const
	Restrict to a face. More...

Eigen::VectorXd	HArDCore3D::GlobalDOFSpace::restrict (const Cell &T, const Eigen::VectorXd vh) const
	Restrict to a cell. More...

Eigen::MatrixXd	HArDCore3D::GlobalDOFSpace::extendOperator (const Cell &T, const Face &F, const Eigen::MatrixXd &opF) const

Eigen::MatrixXd	HArDCore3D::GlobalDOFSpace::extendOperator (const Cell &T, const Edge &E, const Eigen::MatrixXd &opE) const
	Extend an edge operator to a cell. More...

Eigen::MatrixXd	HArDCore3D::GlobalDOFSpace::extendOperator (const Face &F, const Edge &E, const Eigen::MatrixXd &opE) const
	Extend an edge operator to a face. More...

Eigen::MatrixXd	HArDCore3D::GlobalDOFSpace::extendOperator (size_t d1, size_t i1, size_t d2, size_t i2, const Eigen::MatrixXd &op) const
	Generic extension operator from the i2-th d2-cell to the i1-th d1-cell. More...

void	HArDCore3D::GlobalDOFSpace::addInnerProductContribution (const Cell &T, const Face &F, Eigen::MatrixXd &prodT, const Eigen::MatrixXd &prodF) const
	Takes an inner product prodF on a face F, and adds its contributions to the inner product prodT on the element T (distributes the contributions according to the DOFs as seen from T) More...

std::vector< size_t >	HArDCore3D::GlobalDOFSpace::globalDOFIndices (const Cell &T) const
	Returns a vector listing the global DOFs attached to the element T: vertex DOFs, edge DOFs, face DOFs and element DOFs. More...

std::vector< size_t >	HArDCore3D::GlobalDOFSpace::globalDOFIndices (const Face &F) const
	Returns a vector listing the global DOFs attached to the face F: vertex DOFs, edge DOFs, face DOFs. More...

	HArDCore3D::IntegralWeight::IntegralWeight (const IntegralWeightValueType _value, const IntegralWeightDegreeType _deg)
	Generic constructor. More...

	HArDCore3D::IntegralWeight::IntegralWeight (double val)
	Constructor for constant weights. More...

	HArDCore3D::IntegralWeight::IntegralWeight (const std::function< double(const VectorRd &)> &val, const size_t &deg)
	Constructor when the dependency on the cell T is not explicit in the value (and degree is constant) More...

	HArDCore3D::IntegralWeight::IntegralWeight (const std::function< double(const VectorRd &)> &val)
	Constructor when the dependency on the cell T is not explicit in the value, and degree is not provided (it is assumed to be 0) More...

IntegralWeight	HArDCore3D::operator* (double const &r, IntegralWeight const &weight)
	Operator to multiply an IntegralWeight by a number. More...

IntegralWeight	HArDCore3D::operator+ (IntegralWeight const &weight1, IntegralWeight const &weight2)
	Operator to add an IntegralWeight to another one. More...

	HArDCore3D::LocalStaticCondensation::LocalStaticCondensation (const Eigen::MatrixXd &Perm, const std::vector< size_t > &globalDOFs_sys, const std::vector< size_t > &globalDOFs_sc)
	Constructor. More...

std::tuple< Eigen::MatrixXd, Eigen::VectorXd, Eigen::MatrixXd, Eigen::VectorXd >	HArDCore3D::LocalStaticCondensation::compute (const std::pair< Eigen::MatrixXd, Eigen::VectorXd > &lsT)
	Compute the local static condensation. More...

std::vector< size_t >	HArDCore3D::LocalStaticCondensation::globalDOFs_sys ()
	Returns global DOFs that are not statically condensend. More...

size_t	HArDCore3D::LocalStaticCondensation::dim_sys ()
	Returns the number of DOFs that are not statically condensed. More...

std::vector< size_t >	HArDCore3D::LocalStaticCondensation::globalDOFs_sc ()
	Returns global DOFs that are statically condensend. More...

size_t	HArDCore3D::LocalStaticCondensation::dim_sc ()
	Returns the number of DOFs that are statically condensed. More...

	HArDCore3D::LocalDOFSpace::LocalDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_face_dofs, size_t n_local_cell_dofs)
	Constructor. More...

const Mesh &	HArDCore3D::LocalDOFSpace::mesh () const
	Returns the mesh. More...

size_t	HArDCore3D::LocalDOFSpace::numLocalDofsVertex () const
	Returns the number of local vertex DOFs. More...

size_t	HArDCore3D::LocalDOFSpace::numLocalDofsEdge () const
	Returns the number of local edge DOFs. More...

size_t	HArDCore3D::LocalDOFSpace::numLocalDofsFace () const
	Returns the number of local face DOFs. More...

size_t	HArDCore3D::LocalDOFSpace::numLocalDofsCell () const
	Returns the number of local cell DOFs. More...

size_t	HArDCore3D::LocalDOFSpace::numLocalDofs (size_t d) const
	Returns the number of local d-cell DOFs. More...

size_t	HArDCore3D::LocalDOFSpace::dimension () const
	Returns the dimension of the global space (all DOFs for all geometric entities) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionVertex (const Vertex &V) const
	Returns the dimension of the local space on the vertex V. More...

size_t	HArDCore3D::LocalDOFSpace::dimensionVertex (size_t iV) const
	Returns the dimension of the local space on the vertex of index iV. More...

size_t	HArDCore3D::LocalDOFSpace::dimensionEdge (const Edge &E) const
	Returns the dimension of the local space on the edge E (including vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionEdge (size_t iE) const
	Returns the dimension of the local space on the edge of index iE (including vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionFace (const Face &F) const
	Returns the dimension of the local space on the face F (including edges and vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionFace (size_t iF) const
	Returns the dimension of the local space on the face of index iF (including edges and vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionCell (const Cell &T) const
	Returns the dimension of the local space on the cell T (including faces, edges and vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimensionCell (size_t iT) const
	Returns the dimension of the local space on the cell of index iT (including faces, edges and vertices) More...

size_t	HArDCore3D::LocalDOFSpace::dimension (size_t d, size_t i) const
	Returns the dimension of the local space on the d-cell of index i (including its boundary) More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Edge &E, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the edge E. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Edge &E) const
	Returns the local offset of the unknowns attached to the edge E. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Face &F, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the face F. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Face &F, const Edge &E) const
	Returns the local offset of the edge E with respect to the face F. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Face &F) const
	Returns the local offset of the unknowns attached to the face F. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Cell &T, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the cell T. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Cell &T, const Edge &E) const
	Returns the local offset of the edge E with respect to the cell T. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Cell &T, const Face &F) const
	Returns the local offset of the face F with respect to the cell T. More...

size_t	HArDCore3D::LocalDOFSpace::localOffset (const Cell &T) const
	Returns the local offset of the unknowns attached to the element T. More...

	HArDCore3D::SystemVectors< MatrixType >::SystemVectors (std::vector< MatrixType > sys, std::vector< Eigen::VectorXd > vec)
	Constructor. More...

static std::pair< std::vector< int >, std::vector< int > >	HArDCore3D::distributeLoad (size_t nb_elements, unsigned nb_threads)
	Function to distribute elements (considered as jobs) over threads. It returns a pair of vectors indicating the start and end element of each thread. More...

static void	HArDCore3D::parallel_for (unsigned nb_elements, std::function< void(size_t start, size_t end)> functor, bool use_threads=true)
	Generic function to execute threaded processes. More...

static SystemVectors< Eigen::SparseMatrix< double > >	HArDCore3D::parallel_assembly_system (size_t nb_elements, std::vector< std::pair< size_t, size_t >> size_systems, std::vector< size_t > size_vectors, std::function< void(size_t start, size_t end, std::vector< std::list< Eigen::Triplet< double >>> triplets, std::vector< Eigen::VectorXd > vecs)> batch_local_assembly, bool use_threads=true)
	Function to assemble global matrices from a procedure that compute local triplets. More...

static std::pair< Eigen::SparseMatrix< double >, Eigen::VectorXd >	HArDCore3D::parallel_assembly_system (size_t nb_elements, size_t size_system, std::function< void(size_t start, size_t end, std::list< Eigen::Triplet< double >> triplets, Eigen::VectorXd rhs)> batch_local_assembly, bool use_threads=true)
	Function to assemble a global matrix and right-hand side from a procedure that compute local triplets and rhs contributions (a wrapper for the more general function that can assemble several matrices and vectors) More...

static std::tuple< Eigen::SparseMatrix< double >, Eigen::VectorXd, Eigen::SparseMatrix< double >, Eigen::VectorXd >	HArDCore3D::parallel_assembly_system (size_t nb_elements, size_t size_system1, std::pair< size_t, size_t > size_Mat2, size_t size_b2, std::function< void(size_t start, size_t end, std::list< Eigen::Triplet< double >> triplets1, Eigen::VectorXd vec1, std::list< Eigen::Triplet< double >> triplets2, Eigen::VectorXd vec2)> batch_local_assembly, bool use_threads=true)
	Function to assemble two global matrices and vectors (such as: system and static condensation operator, or system and matrix for BC) from a procedure that compute local triplets and rhs contributions (a wrapper for the more general function that can assemble several matrices and vectors) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Cell >::Poly (int k)
	Dimension of Pk(T) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Cell >::Goly (int k)
	Dimension of Gk(T) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Cell >::GolyCompl (int k)
	Dimension of Gck(T) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Cell >::Roly (int k)
	Dimension of Rk(T) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Cell >::RolyCompl (int k)
	Dimension of Rck(T) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Face >::Poly (int k)
	Dimension of Pk(F) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Face >::Goly (int k)
	Dimension of Gk(F) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Face >::GolyCompl (int k)
	Dimension of Gck(F) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Face >::Roly (int k)
	Dimension of Rk(F) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Face >::RolyCompl (int k)
	Dimension of Rck(F) More...

static size_t	HArDCore3D::PolynomialSpaceDimension< Edge >::Poly (int k)
	Dimension of Pk(E) More...

	HArDCore3D::VariableDOFSpace::VariableDOFSpace (const Mesh &mesh, const Eigen::VectorXd n_local_vertex_dofs, const Eigen::VectorXd n_local_edge_dofs, const Eigen::VectorXd n_local_face_dofs, const Eigen::VectorXd n_local_cell_dofs)
	Constructor. More...

	HArDCore3D::VariableDOFSpace::VariableDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, const Eigen::VectorXd n_local_edge_dofs, const Eigen::VectorXd n_local_face_dofs, const Eigen::VectorXd n_local_cell_dofs)
	Simpler constructor if all vertices have the same number of DOFs. More...

	HArDCore3D::VariableDOFSpace::VariableDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, const Eigen::VectorXd n_local_face_dofs, const Eigen::VectorXd n_local_cell_dofs)
	Simpler constructor if all vertices/edges have the same number of DOFs. More...

	HArDCore3D::VariableDOFSpace::VariableDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_face_dofs, const Eigen::VectorXd n_local_cell_dofs)
	Simpler constructor if all vertices/edges/faces have the same number of DOFs. More...

	HArDCore3D::VariableDOFSpace::VariableDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_face_dofs, size_t n_local_cell_dofs)
	Simpler constructor if all vertices/edges/faces/cells have the same number of DOFs. More...

const Mesh &	HArDCore3D::VariableDOFSpace::mesh () const
	Returns the mesh. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsVertex (const size_t iV) const
	Returns the number of local DOFs on vertex of index iV. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsVertex (const Vertex &V) const
	Returns the number of local DOFs on vertex V. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsEdge (const size_t iE) const
	Returns the number of local DOFs on edge of index iE. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsEdge (const Edge &E) const
	Returns the number of local DOFs on edge E. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsFace (const size_t iF) const
	Returns the number of local DOFs on face of index iF. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsFace (const Face &F) const
	Returns the number of local DOFs on face F. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsCell (const size_t iT) const
	Returns the number of local DOFs on cell of index iT. More...

size_t	HArDCore3D::VariableDOFSpace::numLocalDofsCell (const Cell &T) const
	Returns the number of local DOFs on cell T. More...

size_t	HArDCore3D::VariableDOFSpace::nDOFs_vertices () const
	Total number of vertices DOFs. More...

size_t	HArDCore3D::VariableDOFSpace::nDOFs_edges () const
	Total number of edges DOFs. More...

size_t	HArDCore3D::VariableDOFSpace::nDOFs_faces () const
	Total number of faces DOFs. More...

size_t	HArDCore3D::VariableDOFSpace::nDOFs_cells () const
	Total number of cells DOFs. More...

size_t	HArDCore3D::VariableDOFSpace::dimension () const
	Returns the dimension of the global space (all DOFs for all geometric entities) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionVertex (const Vertex &V) const
	Returns the dimension of the local space on the vertex V. More...

size_t	HArDCore3D::VariableDOFSpace::dimensionVertex (size_t iV) const
	Returns the dimension of the local space on the vertex of index iV. More...

size_t	HArDCore3D::VariableDOFSpace::dimensionEdge (const Edge &E) const
	Returns the dimension of the local space on the edge E (including vertices) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionEdge (size_t iE) const
	Returns the dimension of the local space on the edge of index iE (including vertices) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionFace (const Face &F) const
	Returns the dimension of the local space on the face F (including edges and vertices) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionFace (size_t iF) const
	Returns the dimension of the local space on the face of index iF (including edges and vertices) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionCell (const Cell &T) const
	Returns the dimension of the local space on the cell T (including faces, edges and vertices) More...

size_t	HArDCore3D::VariableDOFSpace::dimensionCell (size_t iT) const
	Returns the dimension of the local space on the cell of index iT (including faces, edges and vertices) More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Edge &E, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the edge E. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Edge &E) const
	Returns the local offset of the unknowns attached to the edge E. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Face &F, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the face F. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Face &F, const Edge &E) const
	Returns the local offset of the edge E with respect to the face F. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Face &F) const
	Returns the local offset of the unknowns attached to the face F. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Cell &T, const Vertex &V) const
	Returns the local offset of the vertex V with respect to the cell T. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Cell &T, const Edge &E) const
	Returns the local offset of the edge E with respect to the cell T. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Cell &T, const Face &F) const
	Returns the local offset of the face F with respect to the cell T. More...

size_t	HArDCore3D::VariableDOFSpace::localOffset (const Cell &T) const
	Returns the local offset of the unknowns attached to the element T. More...

size_t	HArDCore3D::VariableDOFSpace::globalOffset (const Vertex &V) const
	Return the global offset for the unknowns on the vertex V. More...

size_t	HArDCore3D::VariableDOFSpace::globalOffset (const Edge &E) const
	Return the global offset for the unknowns on the edge E. More...

size_t	HArDCore3D::VariableDOFSpace::globalOffset (const Face &F) const
	Return the global offset for the unknowns on the face F. More...

size_t	HArDCore3D::VariableDOFSpace::globalOffset (const Cell &T) const
	Return the global offset for the unknowns on the cell T. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrictEdge (size_t iE, const Eigen::VectorXd &vh) const
	Restrict to the edge (including its vertices) of index iE. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrictFace (size_t iF, const Eigen::VectorXd &vh) const
	Restrict to the face (including vertices and edges) of index iF. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrictCell (size_t iT, const Eigen::VectorXd &vh) const
	Restrict to the cell (including vertices, edges and faces) of index iT. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrict (const Edge &E, const Eigen::VectorXd vh) const
	Restrict to an edge. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrict (const Face &F, const Eigen::VectorXd vh) const
	Restrict to a face. More...

Eigen::VectorXd	HArDCore3D::VariableDOFSpace::restrict (const Cell &T, const Eigen::VectorXd vh) const
	Restrict to a cell. More...

Eigen::MatrixXd	HArDCore3D::VariableDOFSpace::extendOperator (const Cell &T, const Face &F, const Eigen::MatrixXd &opF) const

Eigen::MatrixXd	HArDCore3D::VariableDOFSpace::extendOperator (const Cell &T, const Edge &E, const Eigen::MatrixXd &opE) const
	Extend an edge operator to a cell. More...

Eigen::MatrixXd	HArDCore3D::VariableDOFSpace::extendOperator (const Face &F, const Edge &E, const Eigen::MatrixXd &opE) const
	Extend an edge operator to a face. More...

void	HArDCore3D::VariableDOFSpace::extendOperator (const Cell &T, const Face &F, Eigen::Ref< Eigen::MatrixXd > opT, const Eigen::MatrixXd &opF) const
	Adds a face operator to a cell operator: distributes and adds the contributions from face F to the operator opT on element T (equivalent to opT + extendOperator(T, F, opF)). More...

void	HArDCore3D::VariableDOFSpace::extendOperator (const Cell &T, const Edge &E, Eigen::MatrixXd &opT, const Eigen::MatrixXd &opE) const
	Adds an edge operator to a cell. More...

void	HArDCore3D::VariableDOFSpace::extendOperator (const Face &F, const Edge &E, Eigen::MatrixXd &opF, const Eigen::MatrixXd &opE) const
	Adds an edge operator to a face. More...

void	HArDCore3D::VariableDOFSpace::addInnerProductContribution (const Cell &T, const Face &F, Eigen::MatrixXd &prodT, const Eigen::MatrixXd &prodF) const
	Takes an inner product prodF on a face F, and adds its contributions to the inner product prodT on the element T (distributes the contributions according to the DOFs as seen from T) More...

std::vector< size_t >	HArDCore3D::VariableDOFSpace::globalDOFIndices (const Cell &T) const
	Returns a vector listing the global DOFs attached to the element T: vertex DOFs, edge DOFs, face DOFs and element DOFs. More...

std::vector< size_t >	HArDCore3D::VariableDOFSpace::globalDOFIndices (const Face &F) const
	Returns a vector listing the global DOFs attached to the face F: vertex DOFs, edge DOFs, face DOFs. More...

Variables
IntegralWeightValueType	HArDCore3D::IntegralWeight::value

IntegralWeightDegreeType	HArDCore3D::IntegralWeight::deg

Eigen::MatrixXd	HArDCore3D::LocalStaticCondensation::m_Perm

std::vector< size_t >	HArDCore3D::LocalStaticCondensation::m_globalDOFs_sys

std::vector< size_t >	HArDCore3D::LocalStaticCondensation::m_globalDOFs_sc

size_t	HArDCore3D::LocalStaticCondensation::m_dim_sys

size_t	HArDCore3D::LocalStaticCondensation::m_dim_sc

const Mesh &	HArDCore3D::LocalDOFSpace::m_mesh

size_t	HArDCore3D::LocalDOFSpace::m_n_local_vertex_dofs

size_t	HArDCore3D::LocalDOFSpace::m_n_local_edge_dofs

size_t	HArDCore3D::LocalDOFSpace::m_n_local_face_dofs

size_t	HArDCore3D::LocalDOFSpace::m_n_local_cell_dofs

std::vector< MatrixType >	HArDCore3D::SystemVectors< MatrixType >::systems

std::vector< Eigen::VectorXd >	HArDCore3D::SystemVectors< MatrixType >::vectors

Detailed Description

Various general functions and classes.

Typedef Documentation

◆ IntegralWeightDegreeType

typedef std::function<size_t (const Cell &)> HArDCore3D::IntegralWeightDegreeType

◆ IntegralWeightValueType

typedef std::function<double (const Cell &, const Eigen::Vector3d &)> HArDCore3D::IntegralWeightValueType

Function Documentation

◆ addInnerProductContribution() [1/2]

void GlobalDOFSpace::addInnerProductContribution	(	const Cell &	T,
		const Face &	F,
		Eigen::MatrixXd &	prodT,
		const Eigen::MatrixXd &	prodF
	)		const

Takes an inner product prodF on a face F, and adds its contributions to the inner product prodT on the element T (distributes the contributions according to the DOFs as seen from T)

◆ addInnerProductContribution() [2/2]

void VariableDOFSpace::addInnerProductContribution	(	const Cell &	T,
		const Face &	F,
		Eigen::MatrixXd &	prodT,
		const Eigen::MatrixXd &	prodF
	)		const

Takes an inner product prodF on a face F, and adds its contributions to the inner product prodT on the element T (distributes the contributions according to the DOFs as seen from T)

◆ compute()

std::tuple<Eigen::MatrixXd, Eigen::VectorXd, Eigen::MatrixXd, Eigen::VectorXd> HArDCore3D::LocalStaticCondensation::compute ( const std::pair< Eigen::MatrixXd, Eigen::VectorXd > & lsT )

inline

Compute the local static condensation.

From a local pair of Matrix-Vector product, constructed with all the DOFs, returns a 4-tuple; the first two elements are the matrix-vector of the locally statically condensed system, the last two elements are the matrix-vector of the local recovery operator

◆ dim_sc()

size_t HArDCore3D::LocalStaticCondensation::dim_sc ( )

inline

Returns the number of DOFs that are statically condensed.

◆ dim_sys()

size_t HArDCore3D::LocalStaticCondensation::dim_sys ( )

inline

Returns the number of DOFs that are not statically condensed.

◆ dimension() [1/3]

size_t HArDCore3D::LocalDOFSpace::dimension ( ) const

inline

Returns the dimension of the global space (all DOFs for all geometric entities)

◆ dimension() [2/3]

size_t HArDCore3D::VariableDOFSpace::dimension ( ) const

inline

Returns the dimension of the global space (all DOFs for all geometric entities)

◆ dimension() [3/3]

size_t HArDCore3D::LocalDOFSpace::dimension	(	size_t	d,
		size_t	i
	)		const

inline

Returns the dimension of the local space on the d-cell of index i (including its boundary)

◆ dimensionCell() [1/4]

size_t HArDCore3D::LocalDOFSpace::dimensionCell ( const Cell & T ) const

inline

Returns the dimension of the local space on the cell T (including faces, edges and vertices)

◆ dimensionCell() [2/4]

size_t HArDCore3D::VariableDOFSpace::dimensionCell ( const Cell & T ) const

inline

Returns the dimension of the local space on the cell T (including faces, edges and vertices)

◆ dimensionCell() [3/4]

size_t HArDCore3D::LocalDOFSpace::dimensionCell ( size_t iT ) const

inline

Returns the dimension of the local space on the cell of index iT (including faces, edges and vertices)

◆ dimensionCell() [4/4]

size_t HArDCore3D::VariableDOFSpace::dimensionCell ( size_t iT ) const

inline

Returns the dimension of the local space on the cell of index iT (including faces, edges and vertices)

◆ dimensionEdge() [1/4]

size_t HArDCore3D::LocalDOFSpace::dimensionEdge ( const Edge & E ) const

inline

Returns the dimension of the local space on the edge E (including vertices)

◆ dimensionEdge() [2/4]

size_t HArDCore3D::VariableDOFSpace::dimensionEdge ( const Edge & E ) const

inline

Returns the dimension of the local space on the edge E (including vertices)

◆ dimensionEdge() [3/4]

size_t HArDCore3D::LocalDOFSpace::dimensionEdge ( size_t iE ) const

inline

Returns the dimension of the local space on the edge of index iE (including vertices)

◆ dimensionEdge() [4/4]

size_t HArDCore3D::VariableDOFSpace::dimensionEdge ( size_t iE ) const

inline

Returns the dimension of the local space on the edge of index iE (including vertices)

◆ dimensionFace() [1/4]

size_t HArDCore3D::LocalDOFSpace::dimensionFace ( const Face & F ) const

inline

Returns the dimension of the local space on the face F (including edges and vertices)

◆ dimensionFace() [2/4]

size_t HArDCore3D::VariableDOFSpace::dimensionFace ( const Face & F ) const

inline

Returns the dimension of the local space on the face F (including edges and vertices)

◆ dimensionFace() [3/4]

size_t HArDCore3D::LocalDOFSpace::dimensionFace ( size_t iF ) const

inline

Returns the dimension of the local space on the face of index iF (including edges and vertices)

◆ dimensionFace() [4/4]

size_t HArDCore3D::VariableDOFSpace::dimensionFace ( size_t iF ) const

inline

Returns the dimension of the local space on the face of index iF (including edges and vertices)

◆ dimensionVertex() [1/4]

size_t HArDCore3D::LocalDOFSpace::dimensionVertex ( const Vertex & V ) const

inline

Returns the dimension of the local space on the vertex V.

◆ dimensionVertex() [2/4]

size_t HArDCore3D::VariableDOFSpace::dimensionVertex ( const Vertex & V ) const

inline

Returns the dimension of the local space on the vertex V.

◆ dimensionVertex() [3/4]

size_t HArDCore3D::LocalDOFSpace::dimensionVertex ( size_t iV ) const

inline

Returns the dimension of the local space on the vertex of index iV.

◆ dimensionVertex() [4/4]

size_t HArDCore3D::VariableDOFSpace::dimensionVertex ( size_t iV ) const

inline

Returns the dimension of the local space on the vertex of index iV.

◆ distributeLoad()

static std::pair<std::vector<int>, std::vector<int> > HArDCore3D::distributeLoad	(	size_t	nb_elements,
		unsigned	nb_threads
	)

static

Function to distribute elements (considered as jobs) over threads. It returns a pair of vectors indicating the start and end element of each thread.

◆ extendOperator() [1/10]

Eigen::MatrixXd GlobalDOFSpace::extendOperator	(	const Cell &	T,
		const Edge &	E,
		const Eigen::MatrixXd &	opE
	)		const

Extend an edge operator to a cell.

◆ extendOperator() [2/10]

Eigen::MatrixXd VariableDOFSpace::extendOperator	(	const Cell &	T,
		const Edge &	E,
		const Eigen::MatrixXd &	opE
	)		const

Extend an edge operator to a cell.

◆ extendOperator() [3/10]

void VariableDOFSpace::extendOperator	(	const Cell &	T,
		const Edge &	E,
		Eigen::MatrixXd &	opT,
		const Eigen::MatrixXd &	opE
	)		const

Adds an edge operator to a cell.

◆ extendOperator() [4/10]

Eigen::MatrixXd GlobalDOFSpace::extendOperator	(	const Cell &	T,
		const Face &	F,
		const Eigen::MatrixXd &	opF
	)		const

Extend a face operator to a cell: starting from a matrix acting on the DOFs of F (and its edges and vertices), redistribute the coefficients in a matrix acting on the DOFs viewed from T.

◆ extendOperator() [5/10]

Eigen::MatrixXd VariableDOFSpace::extendOperator	(	const Cell &	T,
		const Face &	F,
		const Eigen::MatrixXd &	opF
	)		const

Extend a face operator to a cell: starting from a matrix opF acting on the DOFs of F (and its edges and vertices), redistribute the coefficients in a matrix acting on the DOFs viewed from T.

◆ extendOperator() [6/10]

void VariableDOFSpace::extendOperator	(	const Cell &	T,
		const Face &	F,
		Eigen::Ref< Eigen::MatrixXd >	opT,
		const Eigen::MatrixXd &	opF
	)		const

Adds a face operator to a cell operator: distributes and adds the contributions from face F to the operator opT on element T (equivalent to opT + extendOperator(T, F, opF)).

◆ extendOperator() [7/10]

Eigen::MatrixXd GlobalDOFSpace::extendOperator	(	const Face &	F,
		const Edge &	E,
		const Eigen::MatrixXd &	opE
	)		const

Extend an edge operator to a face.

◆ extendOperator() [8/10]

Eigen::MatrixXd VariableDOFSpace::extendOperator	(	const Face &	F,
		const Edge &	E,
		const Eigen::MatrixXd &	opE
	)		const

Extend an edge operator to a face.

◆ extendOperator() [9/10]

void VariableDOFSpace::extendOperator	(	const Face &	F,
		const Edge &	E,
		Eigen::MatrixXd &	opF,
		const Eigen::MatrixXd &	opE
	)		const

Adds an edge operator to a face.

◆ extendOperator() [10/10]

Eigen::MatrixXd GlobalDOFSpace::extendOperator	(	size_t	d1,
		size_t	i1,
		size_t	d2,
		size_t	i2,
		const Eigen::MatrixXd &	op
	)		const

Generic extension operator from the i2-th d2-cell to the i1-th d1-cell.

◆ globalDOFIndices() [1/4]

std::vector< size_t > GlobalDOFSpace::globalDOFIndices ( const Cell & T ) const

Returns a vector listing the global DOFs attached to the element T: vertex DOFs, edge DOFs, face DOFs and element DOFs.

◆ globalDOFIndices() [2/4]

std::vector< size_t > VariableDOFSpace::globalDOFIndices ( const Cell & T ) const

Returns a vector listing the global DOFs attached to the element T: vertex DOFs, edge DOFs, face DOFs and element DOFs.

◆ globalDOFIndices() [3/4]

std::vector< size_t > GlobalDOFSpace::globalDOFIndices ( const Face & F ) const

Returns a vector listing the global DOFs attached to the face F: vertex DOFs, edge DOFs, face DOFs.

◆ globalDOFIndices() [4/4]

std::vector< size_t > VariableDOFSpace::globalDOFIndices ( const Face & F ) const

Returns a vector listing the global DOFs attached to the face F: vertex DOFs, edge DOFs, face DOFs.

◆ globalDOFs_sc()

std::vector<size_t> HArDCore3D::LocalStaticCondensation::globalDOFs_sc ( )

inline

Returns global DOFs that are statically condensend.

◆ globalDOFs_sys()

std::vector<size_t> HArDCore3D::LocalStaticCondensation::globalDOFs_sys ( )

inline

Returns global DOFs that are not statically condensend.

◆ GlobalDOFSpace()

GlobalDOFSpace::GlobalDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		size_t	n_local_edge_dofs,
		size_t	n_local_face_dofs,
		size_t	n_local_cell_dofs
	)

Constructor.

◆ globalOffset() [1/9]

size_t HArDCore3D::GlobalDOFSpace::globalOffset ( const Cell & T ) const

inline

Return the global offset for the unknowns on the cell T.

◆ globalOffset() [2/9]

size_t HArDCore3D::VariableDOFSpace::globalOffset ( const Cell & T ) const

inline

Return the global offset for the unknowns on the cell T.

◆ globalOffset() [3/9]

size_t HArDCore3D::GlobalDOFSpace::globalOffset ( const Edge & E ) const

inline

Return the global offset for the unknowns on the edge E.

◆ globalOffset() [4/9]

size_t HArDCore3D::VariableDOFSpace::globalOffset ( const Edge & E ) const

inline

Return the global offset for the unknowns on the edge E.

◆ globalOffset() [5/9]

size_t HArDCore3D::GlobalDOFSpace::globalOffset ( const Face & F ) const

inline

Return the global offset for the unknowns on the face F.

◆ globalOffset() [6/9]

size_t HArDCore3D::VariableDOFSpace::globalOffset ( const Face & F ) const

inline

Return the global offset for the unknowns on the face F.

◆ globalOffset() [7/9]

size_t HArDCore3D::GlobalDOFSpace::globalOffset ( const Vertex & V ) const

inline

Return the global offset for the unknowns on the vertex V.

◆ globalOffset() [8/9]

size_t HArDCore3D::VariableDOFSpace::globalOffset ( const Vertex & V ) const

inline

Return the global offset for the unknowns on the vertex V.

◆ globalOffset() [9/9]

size_t HArDCore3D::GlobalDOFSpace::globalOffset	(	size_t	d,
		size_t	i
	)		const

inline

Return the global offset for the unknows on the i-th element of dimension d.

◆ Goly() [1/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Cell >::Goly ( int k )

inlinestatic

Dimension of Gk(T)

◆ Goly() [2/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Face >::Goly ( int k )

inlinestatic

Dimension of Gk(F)

◆ GolyCompl() [1/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Cell >::GolyCompl ( int k )

inlinestatic

Dimension of Gck(T)

◆ GolyCompl() [2/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Face >::GolyCompl ( int k )

inlinestatic

Dimension of Gck(F)

◆ IntegralWeight() [1/4]

HArDCore3D::IntegralWeight::IntegralWeight	(	const IntegralWeightValueType	_value,
		const IntegralWeightDegreeType	_deg
	)

inline

Generic constructor.

Parameters

_value	Value of weight
_deg	Local degree of weight

◆ IntegralWeight() [2/4]

HArDCore3D::IntegralWeight::IntegralWeight ( const std::function< double(const VectorRd &)> & val )

inline

Constructor when the dependency on the cell T is not explicit in the value, and degree is not provided (it is assumed to be 0)

◆ IntegralWeight() [3/4]

HArDCore3D::IntegralWeight::IntegralWeight	(	const std::function< double(const VectorRd &)> &	val,
		const size_t &	deg
	)

inline

Constructor when the dependency on the cell T is not explicit in the value (and degree is constant)

◆ IntegralWeight() [4/4]

HArDCore3D::IntegralWeight::IntegralWeight ( double val )

inline

Constructor for constant weights.

◆ LocalDOFSpace()

LocalDOFSpace::LocalDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		size_t	n_local_edge_dofs,
		size_t	n_local_face_dofs,
		size_t	n_local_cell_dofs
	)

Constructor.

◆ localOffset() [1/18]

size_t HArDCore3D::LocalDOFSpace::localOffset ( const Cell & T ) const

inline

Returns the local offset of the unknowns attached to the element T.

◆ localOffset() [2/18]

size_t HArDCore3D::VariableDOFSpace::localOffset ( const Cell & T ) const

inline

Returns the local offset of the unknowns attached to the element T.

◆ localOffset() [3/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Cell &	T,
		const Edge &	E
	)		const

inline

Returns the local offset of the edge E with respect to the cell T.

◆ localOffset() [4/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Cell &	T,
		const Edge &	E
	)		const

inline

Returns the local offset of the edge E with respect to the cell T.

◆ localOffset() [5/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Cell &	T,
		const Face &	F
	)		const

inline

Returns the local offset of the face F with respect to the cell T.

◆ localOffset() [6/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Cell &	T,
		const Face &	F
	)		const

inline

Returns the local offset of the face F with respect to the cell T.

◆ localOffset() [7/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Cell &	T,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the cell T.

◆ localOffset() [8/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Cell &	T,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the cell T.

◆ localOffset() [9/18]

size_t HArDCore3D::LocalDOFSpace::localOffset ( const Edge & E ) const

inline

Returns the local offset of the unknowns attached to the edge E.

◆ localOffset() [10/18]

size_t HArDCore3D::VariableDOFSpace::localOffset ( const Edge & E ) const

inline

Returns the local offset of the unknowns attached to the edge E.

◆ localOffset() [11/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Edge &	E,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the edge E.

◆ localOffset() [12/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Edge &	E,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the edge E.

◆ localOffset() [13/18]

size_t HArDCore3D::LocalDOFSpace::localOffset ( const Face & F ) const

inline

Returns the local offset of the unknowns attached to the face F.

◆ localOffset() [14/18]

size_t HArDCore3D::VariableDOFSpace::localOffset ( const Face & F ) const

inline

Returns the local offset of the unknowns attached to the face F.

◆ localOffset() [15/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Face &	F,
		const Edge &	E
	)		const

inline

Returns the local offset of the edge E with respect to the face F.

◆ localOffset() [16/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Face &	F,
		const Edge &	E
	)		const

inline

Returns the local offset of the edge E with respect to the face F.

◆ localOffset() [17/18]

size_t HArDCore3D::LocalDOFSpace::localOffset	(	const Face &	F,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the face F.

◆ localOffset() [18/18]

size_t HArDCore3D::VariableDOFSpace::localOffset	(	const Face &	F,
		const Vertex &	V
	)		const

inline

Returns the local offset of the vertex V with respect to the face F.

◆ LocalStaticCondensation()

HArDCore3D::LocalStaticCondensation::LocalStaticCondensation	(	const Eigen::MatrixXd &	Perm,
		const std::vector< size_t > &	globalDOFs_sys,
		const std::vector< size_t > &	globalDOFs_sc
	)

inline

Constructor.

Parameters

Perm	Permutation that moves the DOFs to condense at the end
globalDOFs_sys	List of global DOFs in the final system
globalDOFs_sc	List of global DOFs that are statically condensed

◆ mesh() [1/2]

const Mesh& HArDCore3D::LocalDOFSpace::mesh ( ) const

inline

Returns the mesh.

◆ mesh() [2/2]

const Mesh& HArDCore3D::VariableDOFSpace::mesh ( ) const

inline

Returns the mesh.

◆ nDOFs_cells()

size_t HArDCore3D::VariableDOFSpace::nDOFs_cells ( ) const

inline

Total number of cells DOFs.

◆ nDOFs_edges()

size_t HArDCore3D::VariableDOFSpace::nDOFs_edges ( ) const

inline

Total number of edges DOFs.

◆ nDOFs_faces()

size_t HArDCore3D::VariableDOFSpace::nDOFs_faces ( ) const

inline

Total number of faces DOFs.

◆ nDOFs_vertices()

size_t HArDCore3D::VariableDOFSpace::nDOFs_vertices ( ) const

inline

Total number of vertices DOFs.

◆ numLocalDofs()

size_t HArDCore3D::LocalDOFSpace::numLocalDofs ( size_t d ) const

inline

Returns the number of local d-cell DOFs.

◆ numLocalDofsCell() [1/3]

size_t HArDCore3D::LocalDOFSpace::numLocalDofsCell ( ) const

inline

Returns the number of local cell DOFs.

◆ numLocalDofsCell() [2/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsCell ( const Cell & T ) const

inline

Returns the number of local DOFs on cell T.

◆ numLocalDofsCell() [3/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsCell ( const size_t iT ) const

inline

Returns the number of local DOFs on cell of index iT.

◆ numLocalDofsEdge() [1/3]

size_t HArDCore3D::LocalDOFSpace::numLocalDofsEdge ( ) const

inline

Returns the number of local edge DOFs.

◆ numLocalDofsEdge() [2/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsEdge ( const Edge & E ) const

inline

Returns the number of local DOFs on edge E.

◆ numLocalDofsEdge() [3/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsEdge ( const size_t iE ) const

inline

Returns the number of local DOFs on edge of index iE.

◆ numLocalDofsFace() [1/3]

size_t HArDCore3D::LocalDOFSpace::numLocalDofsFace ( ) const

inline

Returns the number of local face DOFs.

◆ numLocalDofsFace() [2/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsFace ( const Face & F ) const

inline

Returns the number of local DOFs on face F.

◆ numLocalDofsFace() [3/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsFace ( const size_t iF ) const

inline

Returns the number of local DOFs on face of index iF.

◆ numLocalDofsVertex() [1/3]

size_t HArDCore3D::LocalDOFSpace::numLocalDofsVertex ( ) const

inline

Returns the number of local vertex DOFs.

◆ numLocalDofsVertex() [2/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsVertex ( const size_t iV ) const

inline

Returns the number of local DOFs on vertex of index iV.

◆ numLocalDofsVertex() [3/3]

size_t HArDCore3D::VariableDOFSpace::numLocalDofsVertex ( const Vertex & V ) const

inline

Returns the number of local DOFs on vertex V.

◆ operator*()

IntegralWeight HArDCore3D::operator*	(	double const &	r,
		IntegralWeight const &	weight
	)

inline

Operator to multiply an IntegralWeight by a number.

◆ operator+()

IntegralWeight HArDCore3D::operator+	(	IntegralWeight const &	weight1,
		IntegralWeight const &	weight2
	)

inline

Operator to add an IntegralWeight to another one.

◆ parallel_assembly_system() [1/3]

static std::pair<Eigen::SparseMatrix<double>, Eigen::VectorXd> HArDCore3D::parallel_assembly_system	(	size_t	nb_elements,
		size_t	size_system,
		std::function< void(size_t start, size_t end, std::list< Eigen::Triplet< double >> triplets, Eigen::VectorXd rhs)>	batch_local_assembly,
		bool	use_threads = `true`
	)

inlinestatic

Function to assemble a global matrix and right-hand side from a procedure that compute local triplets and rhs contributions (a wrapper for the more general function that can assemble several matrices and vectors)

◆ parallel_assembly_system() [2/3]

static std::tuple<Eigen::SparseMatrix<double>, Eigen::VectorXd, Eigen::SparseMatrix<double>, Eigen::VectorXd> HArDCore3D::parallel_assembly_system	(	size_t	nb_elements,
		size_t	size_system1,
		std::pair< size_t, size_t >	size_Mat2,
		size_t	size_b2,
		std::function< void(size_t start, size_t end, std::list< Eigen::Triplet< double >> triplets1, Eigen::VectorXd vec1, std::list< Eigen::Triplet< double >> triplets2, Eigen::VectorXd vec2)>	batch_local_assembly,
		bool	use_threads = `true`
	)

inlinestatic

Function to assemble two global matrices and vectors (such as: system and static condensation operator, or system and matrix for BC) from a procedure that compute local triplets and rhs contributions (a wrapper for the more general function that can assemble several matrices and vectors)

◆ parallel_assembly_system() [3/3]

static SystemVectors<Eigen::SparseMatrix<double> > HArDCore3D::parallel_assembly_system	(	size_t	nb_elements,
		std::vector< std::pair< size_t, size_t >>	size_systems,
		std::vector< size_t >	size_vectors,
		std::function< void(size_t start, size_t end, std::vector< std::list< Eigen::Triplet< double >>> triplets, std::vector< Eigen::VectorXd > vecs)>	batch_local_assembly,
		bool	use_threads = `true`
	)

inlinestatic

Function to assemble global matrices from a procedure that compute local triplets.

◆ parallel_for()

static void HArDCore3D::parallel_for	(	unsigned	nb_elements,
		std::function< void(size_t start, size_t end)>	functor,
		bool	use_threads = `true`
	)

inlinestatic

Generic function to execute threaded processes.

◆ Poly() [1/3]

static size_t HArDCore3D::PolynomialSpaceDimension< Cell >::Poly ( int k )

inlinestatic

Dimension of Pk(T)

◆ Poly() [2/3]

static size_t HArDCore3D::PolynomialSpaceDimension< Face >::Poly ( int k )

inlinestatic

Dimension of Pk(F)

◆ Poly() [3/3]

static size_t HArDCore3D::PolynomialSpaceDimension< Edge >::Poly ( int k )

inlinestatic

Dimension of Pk(E)

◆ restrict() [1/6]

Eigen::VectorXd HArDCore3D::GlobalDOFSpace::restrict	(	const Cell &	T,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to a cell.

◆ restrict() [2/6]

Eigen::VectorXd HArDCore3D::VariableDOFSpace::restrict	(	const Cell &	T,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to a cell.

◆ restrict() [3/6]

Eigen::VectorXd HArDCore3D::GlobalDOFSpace::restrict	(	const Edge &	E,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to an edge.

◆ restrict() [4/6]

Eigen::VectorXd HArDCore3D::VariableDOFSpace::restrict	(	const Edge &	E,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to an edge.

◆ restrict() [5/6]

Eigen::VectorXd HArDCore3D::GlobalDOFSpace::restrict	(	const Face &	F,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to a face.

◆ restrict() [6/6]

Eigen::VectorXd HArDCore3D::VariableDOFSpace::restrict	(	const Face &	F,
		const Eigen::VectorXd	vh
	)		const

inline

Restrict to a face.

◆ restrictCell() [1/2]

Eigen::VectorXd GlobalDOFSpace::restrictCell	(	size_t	iT,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the cell (including vertices, edges and faces) of index iT.

◆ restrictCell() [2/2]

Eigen::VectorXd VariableDOFSpace::restrictCell	(	size_t	iT,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the cell (including vertices, edges and faces) of index iT.

◆ restrictEdge() [1/2]

Eigen::VectorXd GlobalDOFSpace::restrictEdge	(	size_t	iE,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the edge (including its vertices) of index iE.

◆ restrictEdge() [2/2]

Eigen::VectorXd VariableDOFSpace::restrictEdge	(	size_t	iE,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the edge (including its vertices) of index iE.

◆ restrictFace() [1/2]

Eigen::VectorXd GlobalDOFSpace::restrictFace	(	size_t	iF,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the face (including vertices and edges) of index iF.

◆ restrictFace() [2/2]

Eigen::VectorXd VariableDOFSpace::restrictFace	(	size_t	iF,
		const Eigen::VectorXd &	vh
	)		const

Restrict to the face (including vertices and edges) of index iF.

◆ Roly() [1/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Cell >::Roly ( int k )

inlinestatic

Dimension of Rk(T)

◆ Roly() [2/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Face >::Roly ( int k )

inlinestatic

Dimension of Rk(F)

◆ RolyCompl() [1/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Cell >::RolyCompl ( int k )

inlinestatic

Dimension of Rck(T)

◆ RolyCompl() [2/2]

static size_t HArDCore3D::PolynomialSpaceDimension< Face >::RolyCompl ( int k )

inlinestatic

Dimension of Rck(F)

◆ store_times()

std::pair<double,double> HArDCore3D::store_times	(	boost::timer::cpu_timer &	timer,
		std::string	message = `""`
	)

inline

Function to store and display wall/proc timers from boost::timer::cpu_timer.

Wall time is in the first element of the pair, proc time in the second

Parameters

timer	The timer
message	Optional message to display with time (if not message is passed, times are not displayed)

◆ SystemVectors()

template<typename MatrixType >

HArDCore3D::SystemVectors< MatrixType >::SystemVectors	(	std::vector< MatrixType >	sys,
		std::vector< Eigen::VectorXd >	vec
	)

inline

Constructor.

◆ VariableDOFSpace() [1/5]

VariableDOFSpace::VariableDOFSpace	(	const Mesh &	mesh,
		const Eigen::VectorXd	n_local_vertex_dofs,
		const Eigen::VectorXd	n_local_edge_dofs,
		const Eigen::VectorXd	n_local_face_dofs,
		const Eigen::VectorXd	n_local_cell_dofs
	)

Constructor.

◆ VariableDOFSpace() [2/5]

VariableDOFSpace::VariableDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		const Eigen::VectorXd	n_local_edge_dofs,
		const Eigen::VectorXd	n_local_face_dofs,
		const Eigen::VectorXd	n_local_cell_dofs
	)

Simpler constructor if all vertices have the same number of DOFs.

◆ VariableDOFSpace() [3/5]

VariableDOFSpace::VariableDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		size_t	n_local_edge_dofs,
		const Eigen::VectorXd	n_local_face_dofs,
		const Eigen::VectorXd	n_local_cell_dofs
	)

Simpler constructor if all vertices/edges have the same number of DOFs.

◆ VariableDOFSpace() [4/5]

VariableDOFSpace::VariableDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		size_t	n_local_edge_dofs,
		size_t	n_local_face_dofs,
		const Eigen::VectorXd	n_local_cell_dofs
	)

Simpler constructor if all vertices/edges/faces have the same number of DOFs.

◆ VariableDOFSpace() [5/5]

VariableDOFSpace::VariableDOFSpace	(	const Mesh &	mesh,
		size_t	n_local_vertex_dofs,
		size_t	n_local_edge_dofs,
		size_t	n_local_face_dofs,
		size_t	n_local_cell_dofs
	)

Simpler constructor if all vertices/edges/faces/cells have the same number of DOFs.

Variable Documentation

◆ deg

IntegralWeightDegreeType HArDCore3D::IntegralWeight::deg

◆ m_dim_sc

size_t HArDCore3D::LocalStaticCondensation::m_dim_sc

◆ m_dim_sys

size_t HArDCore3D::LocalStaticCondensation::m_dim_sys

◆ m_globalDOFs_sc

std::vector<size_t> HArDCore3D::LocalStaticCondensation::m_globalDOFs_sc

◆ m_globalDOFs_sys

std::vector<size_t> HArDCore3D::LocalStaticCondensation::m_globalDOFs_sys

◆ m_mesh

const Mesh& HArDCore3D::LocalDOFSpace::m_mesh

protected

◆ m_n_local_cell_dofs

size_t HArDCore3D::LocalDOFSpace::m_n_local_cell_dofs

protected

◆ m_n_local_edge_dofs

size_t HArDCore3D::LocalDOFSpace::m_n_local_edge_dofs

protected

◆ m_n_local_face_dofs

size_t HArDCore3D::LocalDOFSpace::m_n_local_face_dofs

protected

◆ m_n_local_vertex_dofs

size_t HArDCore3D::LocalDOFSpace::m_n_local_vertex_dofs

protected

◆ m_Perm

Eigen::MatrixXd HArDCore3D::LocalStaticCondensation::m_Perm

◆ systems

template<typename MatrixType >

std::vector<MatrixType> HArDCore3D::SystemVectors< MatrixType >::systems

◆ value

IntegralWeightValueType HArDCore3D::IntegralWeight::value

◆ vectors

template<typename MatrixType >

std::vector<Eigen::VectorXd> HArDCore3D::SystemVectors< MatrixType >::vectors

Classes

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ IntegralWeightDegreeType

◆ IntegralWeightValueType

Function Documentation

◆ addInnerProductContribution() [1/2]

◆ addInnerProductContribution() [2/2]

◆ compute()

◆ dim_sc()

◆ dim_sys()

◆ dimension() [1/3]

◆ dimension() [2/3]

◆ dimension() [3/3]

◆ dimensionCell() [1/4]

◆ dimensionCell() [2/4]

◆ dimensionCell() [3/4]

◆ dimensionCell() [4/4]

◆ dimensionEdge() [1/4]

◆ dimensionEdge() [2/4]

◆ dimensionEdge() [3/4]

◆ dimensionEdge() [4/4]

◆ dimensionFace() [1/4]

◆ dimensionFace() [2/4]

◆ dimensionFace() [3/4]

◆ dimensionFace() [4/4]

◆ dimensionVertex() [1/4]

◆ dimensionVertex() [2/4]

◆ dimensionVertex() [3/4]

◆ dimensionVertex() [4/4]

◆ distributeLoad()

◆ extendOperator() [1/10]

◆ extendOperator() [2/10]

◆ extendOperator() [3/10]

◆ extendOperator() [4/10]

◆ extendOperator() [5/10]

◆ extendOperator() [6/10]

◆ extendOperator() [7/10]

◆ extendOperator() [8/10]

◆ extendOperator() [9/10]

◆ extendOperator() [10/10]

◆ globalDOFIndices() [1/4]

◆ globalDOFIndices() [2/4]

◆ globalDOFIndices() [3/4]

◆ globalDOFIndices() [4/4]

◆ globalDOFs_sc()

◆ globalDOFs_sys()

◆ GlobalDOFSpace()

◆ globalOffset() [1/9]

◆ globalOffset() [2/9]

◆ globalOffset() [3/9]

◆ globalOffset() [4/9]

◆ globalOffset() [5/9]

◆ globalOffset() [6/9]

◆ globalOffset() [7/9]

◆ globalOffset() [8/9]

◆ globalOffset() [9/9]

◆ Goly() [1/2]

◆ Goly() [2/2]

◆ GolyCompl() [1/2]

◆ GolyCompl() [2/2]

◆ IntegralWeight() [1/4]

◆ IntegralWeight() [2/4]

◆ IntegralWeight() [3/4]

◆ IntegralWeight() [4/4]

◆ LocalDOFSpace()

◆ localOffset() [1/18]

◆ localOffset() [2/18]

◆ localOffset() [3/18]

◆ localOffset() [4/18]

◆ localOffset() [5/18]

◆ localOffset() [6/18]

◆ localOffset() [7/18]

◆ localOffset() [8/18]

◆ localOffset() [9/18]

◆ localOffset() [10/18]

◆ localOffset() [11/18]