LocalSpace_DF_PCC_2D.hpp File Reference

#include "Assembler_Utilities.hpp"
#include "DOFsManager.hpp"
#include "FEM_PCC_2D_LocalSpace.hpp"
#include "IArray.hpp"
#include "I_VEM_DF_PCC_2D_ReferenceElement.hpp"
#include "VEM_DF_PCC_2D_Creator.hpp"
#include "VEM_DF_PCC_2D_LocalSpace_Data.hpp"
#include "VEM_DF_PCC_PerformanceAnalysis.hpp"
#include <memory>

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Classes
class	Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data
	Method-specific reference-element data for the 2D DF_PCC local space. More...
class	Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data
	Per-cell local-space data for the 2D DF_PCC local space. More...
class	Polydim::PDETools::LocalSpace_DF_PCC_2D::Performance_Data
	Per-cell performance metrics for the 2D DF_PCC local space. More...
class	Polydim::PDETools::LocalSpace_DF_PCC_2D::Performance_Data::Cell2D_Performance

Namespaces
namespace	Polydim
namespace	Polydim::PDETools
namespace	Polydim::PDETools::LocalSpace_DF_PCC_2D
	Unified interface to the 2D divergence-free primal conforming (DF_PCC) local spaces.

Enumerations
enum struct	Polydim::PDETools::LocalSpace_DF_PCC_2D::MethodTypes { Polydim::PDETools::LocalSpace_DF_PCC_2D::TAYLOR_HOOD = 0 , Polydim::PDETools::LocalSpace_DF_PCC_2D::VEM_DF_PCC_FULL = 1 , Polydim::PDETools::LocalSpace_DF_PCC_2D::VEM_DF_PCC_REDUCED = 2 }
	Discretization method for the 2D DF_PCC velocity/pressure pair. More...

Functions
ReferenceElement_Data	Polydim::PDETools::LocalSpace_DF_PCC_2D::CreateReferenceElement (const Polydim::PDETools::LocalSpace_DF_PCC_2D::MethodTypes &method_type, const unsigned int method_order)
	Create the velocity/pressure reference elements for the chosen method and order.
std::vector< Polydim::PDETools::DOFs::DOFsManager::MeshDOFsInfo >	Polydim::PDETools::LocalSpace_DF_PCC_2D::SetMeshDOFsInfo (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Gedim::MeshMatricesDAO &mesh, const std::array< Polydim::PDETools::DOFs::DOFsManager::MeshDOFsInfo::BoundaryMap, 2 > &boundary_info)
	Build the DOF layout over the mesh for the velocity and pressure fields.
LocalSpace_Data	Polydim::PDETools::LocalSpace_DF_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_DF_PCC_2D::ReferenceElement_Data &reference_element_data)
	Build the coupled velocity/pressure local space on a given cell.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsValues (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::DF_PCC::ProjectionTypes &projectionType=Polydim::VEM::DF_PCC::ProjectionTypes::Pi0k)
	Evaluate the (vector) velocity basis functions at the internal quadrature points.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsValues (const ReferenceElement_Data &reference_element_data, const LocalSpace_Data &local_space_data, const Eigen::MatrixXd &points, const Polydim::VEM::DF_PCC::ProjectionTypes &projectionType=Polydim::VEM::DF_PCC::ProjectionTypes::Pi0k)
	Evaluate the (vector) velocity basis functions at arbitrary points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::PressureBasisFunctionsValues (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data)
	Evaluate the (scalar) pressure basis functions at the internal quadrature points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::PressureBasisFunctionsValues (const ReferenceElement_Data &reference_element_data, const LocalSpace_Data &local_space_data, const Eigen::MatrixXd &points)
	Evaluate the (scalar) pressure basis functions at arbitrary points.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsDerivativeValues (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::DF_PCC::ProjectionTypes &projectionType=Polydim::VEM::DF_PCC::ProjectionTypes::PiNabla)
	Evaluate the velocity basis-function derivatives at the internal quadrature points.
std::vector< Eigen::MatrixXd >	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsDerivativeValues (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const Eigen::MatrixXd &points, const Polydim::VEM::DF_PCC::ProjectionTypes &projectionType=Polydim::VEM::DF_PCC::ProjectionTypes::PiNabla)
	Evaluate the velocity basis-function derivatives at arbitrary points.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsDivergenceValues (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data)
	Evaluate the velocity divergence at the internal quadrature points.
Gedim::Quadrature::QuadratureData	Polydim::PDETools::LocalSpace_DF_PCC_2D::InternalQuadrature (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data)
	Internal quadrature rule of the cell.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityBasisFunctionsValuesOnEdge (const unsigned int &edge_local_index, const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const Eigen::MatrixXd &pointsCurvilinearCoordinates)
	Evaluate the velocity basis functions on a given edge.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityStabilizationMatrix (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const Polydim::VEM::DF_PCC::ProjectionTypes &projectionType=Polydim::VEM::DF_PCC::ProjectionTypes::PiNabla)
	Compute the (VEM) velocity stabilization matrix of the local space.
Eigen::MatrixXd	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocityEdgeDofsCoordinates (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data, const unsigned int edge_local_index)
	Coordinates of the velocity DOFs associated with a given edge.
unsigned int	Polydim::PDETools::LocalSpace_DF_PCC_2D::VelocitySize (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data)
	Number of local velocity degrees of freedom of the cell.
Performance_Data	Polydim::PDETools::LocalSpace_DF_PCC_2D::ComputePerformance (const Polydim::PDETools::LocalSpace_DF_PCC_2D::ReferenceElement_Data &reference_element_data, const Polydim::PDETools::LocalSpace_DF_PCC_2D::LocalSpace_Data &local_space_data)
	Compute the per-cell performance metrics of the local space.
void	Polydim::PDETools::LocalSpace_DF_PCC_2D::export_velocity_dofs (const Gedim::GeometryUtilities &geometry_utilities, const Gedim::MeshMatricesDAO &mesh, const Gedim::MeshUtilities::MeshGeometricData2D &mesh_geometric_data, const std::vector< Polydim::PDETools::DOFs::DOFsManager::MeshDOFsInfo > &mesh_dofs_info, const std::vector< DOFs::DOFsManager::DOFsData > &dofs_data, const Polydim::PDETools::Assembler_Utilities::count_dofs_data &count_dofs, const Gedim::IArray &right_hand_side, const Gedim::IArray &solution, const Gedim::IArray &solution_strongs, const std::string &file_path)
	Export the velocity DOFs and solution fields to file for visualization.