LocalSpace_PCC_2D.cpp File Reference

#include "LocalSpace_PCC_2D.hpp"
#include "CommonUtilities.hpp"
#include "VTKUtilities.hpp"
#include "ZFEM_PCC_2D_Creator.hpp"
#include <memory>
#include <numbers>

Include dependency graph for LocalSpace_PCC_2D.cpp:

Namespaces
namespace	Polydim
namespace	Polydim::PDETools
namespace	Polydim::PDETools::LocalSpace_PCC_2D
	Unified interface to the 2D primal conforming (PCC) local spaces.

Functions
ReferenceElement_Data	Polydim::PDETools::LocalSpace_PCC_2D::CreateReferenceElement (const Polydim::PDETools::LocalSpace_PCC_2D::MethodTypes &method_type, const unsigned int method_order)
	Create the reference element for the chosen method and order.
Gedim::MeshUtilities::MeshGeometricData2DConfig	Polydim::PDETools::LocalSpace_PCC_2D::MeshGeometricDataConfigiguration (const ReferenceElement_Data &reference_element_data)
	Geometric-data configuration required by the selected method.
LocalSpace_Data	Polydim::PDETools::LocalSpace_PCC_2D::CreateLocalSpace (const double &geometric_tolerance_1D, const double &geometric_tolerance_2D, const Gedim::MeshUtilities::MeshGeometricData2D &mesh_geometric_data, const unsigned int cell2D_index, const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data)
	Build the local space on a given cell.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsValues (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::Pi0km1)
	Evaluate the basis functions at the internal quadrature points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsValues (const ReferenceElement_Data &reference_element_data, const LocalSpace_Data &local_space_data, const Eigen::MatrixXd &points, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::Pi0km1)
	Evaluate the basis functions at arbitrary points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsLaplacianValues (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::Pi0km1Der)
	Evaluate the basis-function Laplacians at the internal quadrature points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsValuesOnEdge (const unsigned int &edge_local_index, const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Eigen::MatrixXd &pointsCurvilinearCoordinates)
	Evaluate the basis functions on a given edge.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsDerivativeValues (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::Pi0km1Der)
	Evaluate the basis-function derivatives at the internal quadrature points.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_PCC_2D::BasisFunctionsDerivativeValues (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Eigen::MatrixXd &points, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::Pi0km1Der)
	Evaluate the basis-function derivatives at arbitrary points.
Gedim::Quadrature::QuadratureData	Polydim::PDETools::LocalSpace_PCC_2D::InternalQuadrature (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data)
	Internal quadrature rule of the cell.
unsigned int	Polydim::PDETools::LocalSpace_PCC_2D::Size (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data)
	Number of local degrees of freedom of the cell.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::StabilizationMatrix (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::PCC::ProjectionTypes &projectionType=Polydim::VEM::PCC::ProjectionTypes::PiNabla)
	Compute the (VEM) stabilization matrix of the local space.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_PCC_2D::EdgeDofsCoordinates (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const unsigned int edge_local_index)
	Coordinates of the DOFs associated with a given edge.
Gedim::Quadrature::QuadratureData	Polydim::PDETools::LocalSpace_PCC_2D::InternalDofsCoordinates (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data)
	Coordinates (and weights) of the internal DOFs of the cell.
Eigen::VectorXd	Polydim::PDETools::LocalSpace_PCC_2D::InternalDofs (const ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data, const Eigen::VectorXd &values_at_dofs, const Gedim::Quadrature::QuadratureData &internal_dofs_coordinates)
	Compute the internal DOF values of a function.
PDETools::DOFs::DOFsManager::MeshDOFsInfo	Polydim::PDETools::LocalSpace_PCC_2D::SetMeshDOFsInfo (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Gedim::MeshMatricesDAO &mesh, const std::map< unsigned int, Polydim::PDETools::DOFs::DOFsManager::MeshDOFsInfo::BoundaryInfo > &boundary_info)
	Build the degrees-of-freedom layout over the mesh.
Performance_Data	Polydim::PDETools::LocalSpace_PCC_2D::ComputePerformance (const Polydim::PDETools::LocalSpace_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_PCC_2D::LocalSpace_Data &local_space_data)
	Compute the per-cell performance metrics of the local space.
void	Polydim::PDETools::LocalSpace_PCC_2D::export_dofs (const Gedim::GeometryUtilities &geometry_utilities, const Gedim::MeshMatricesDAO &mesh, const Gedim::MeshUtilities::MeshGeometricData2D &mesh_geometric_data, const Polydim::PDETools::DOFs::DOFsManager::MeshDOFsInfo &mesh_dofs_info, const Polydim::PDETools::DOFs::DOFsManager::DOFsData &dofs_data, const Gedim::IArray &right_hand_side, const Gedim::IArray &solution, const Gedim::IArray &solution_strongs, const std::string &file_path)
	Export the DOFs and solution fields to file for visualization.