Classes
class	BottiMassa

struct	ComputeErrorsParameters

struct	ComputeMass

class	DiscreteSpace

class	DiscreteSpaceDescriptor

struct	DiscreteSpaceError

class	GlobalDOFTable
	Base class for global DOF spaces. Provides functions to manipulate global DOFs (the local version being provided by LocalDOFTable). More...

struct	HHODOFsTypes

struct	HHODOFsTypes< Scalar >

struct	HHODOFsTypes< Vector >

class	HYPRE

struct	HYPREParameters

struct	InterpolateParameters

class	LocalDOFTable

struct	LocalSpaceDimensions

struct	LocalSpaceDimensions< GolyCellType >

struct	LocalSpaceDimensions< GolyComplCellType >

struct	LocalSpaceDimensions< PolyCellType >

struct	LocalSpaceDimensions< PolyEdgeType >

struct	LocalSpaceDimensions< PolynCellType >

struct	LocalSpaceDimensions< PolynEdgeType >

struct	LocalSpaceDimensions< PolynxnCellType >

struct	LocalSpaceDimensions< RealnVertexType >

struct	LocalSpaceDimensions< RealnxnVertexType >

struct	LocalSpaceDimensions< RealVertexType >

struct	LocalSpaceDimensions< RolyCellType >

struct	LocalSpaceDimensions< RolyComplCellType >

struct	LocalSpaceDimensions< SymPolynxnCellType >

class	PkpoPkPkPk

class	RTNPkPkPk

Typedefs
typedef Family< GradientBasis< ShiftedBasis< MonomialScalarBasisCell > > >	GolyCellType

typedef Family< GolyComplBasisCell >	GolyComplCellType

typedef Family< MonomialScalarBasisCell >	PolyCellType

typedef Family< MonomialScalarBasisEdge >	PolyEdgeType

typedef TensorizedVectorFamily< PolyCellType, dimspace >	PolynCellType

typedef TensorizedVectorFamily< Family< MonomialScalarBasisEdge >, dimspace >	PolynEdgeType

typedef MatrixFamily< PolyCellType, dimspace >	PolynxnCellType

typedef VectorRd	RealnVertexType

typedef MatrixRd	RealnxnVertexType

typedef double	RealVertexType

typedef Family< CurlBasis< ShiftedBasis< MonomialScalarBasisCell > > >	RolyCellType

typedef Family< RolyComplBasisCell >	RolyComplCellType

typedef TensorizedVectorFamily< PolyCellType, static_cast< size_t >(dimspace+1)>	SymPolynxnCellType

typedef boost::fusion::vector< PolyCellType, PolyEdgeType, PolynCellType, PolynxnCellType, PolynEdgeType, RolyCellType, RolyComplCellType, GolyCellType, GolyComplCellType, RealVertexType, RealnVertexType, RealnxnVertexType, SymPolynxnCellType >	LocalPolynomialSpaces

Functions
template<TensorRankE Rank>
std::vector< std::pair< double, double > >	compute_hho_component_norms (const DiscreteSpace &Vh, const std::vector< Eigen::VectorXd > &vh, bool use_threads=true)

template<TensorRankE Rank>
std::vector< std::pair< double, double > >	compute_hho_potential_norms (const DiscreteSpace &Vh, const std::vector< Eigen::MatrixXd > &potential, const std::vector< Eigen::MatrixXd > &stabilization, const std::vector< Eigen::VectorXd > &vh, bool use_threads=true)

template<typename CellDofsMapType , typename EdgeDofsMapType >
std::vector< double >	compute_l2_dof_norms (const DiscreteSpace &Vh, const CellDofsMapType &cell_dofs_map, const EdgeDofsMapType &edge_dofs_map, const std::vector< Eigen::VectorXd > &vh, bool use_threads=true)
	Compute L2 component norms for spaces with generic cell and edge DOFs.

DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor	make_dof (const std::string name, size_t degree)

bool	compare_degrees (const DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor &P1, const DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor &P2)

template<TensorRankE Rank, typename F >
Eigen::VectorXd	hho_interpolate (const DiscreteSpace &Vh, const F &v, const InterpolateParameters &parameters={})

std::map< std::string, double >	compute_discrete_errors (const HYPRE *scheme, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const double &viscosity, const ComputeErrorsParameters &parameters={})

std::map< std::string, double >	compute_errors (const HYPRE scheme, const HArDCore2D::NavierStokesSolutions::IExactSolution isolution, const Eigen::VectorXd &uh, const Eigen::VectorXd &ph, const ComputeErrorsParameters &parameters={})
	Compute errors between the discrete solution and the continuous one.

std::map< std::string, double >	compute_l2_dof_errors (const HYPRE *scheme, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const ComputeErrorsParameters &parameters)
	Compute the errors on DOFs.

std::map< std::string, double >	compute_energy_errors (const HYPRE scheme, const HArDCore2D::NavierStokesSolutions::IExactSolution isolution, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const double &viscosity, const double &current_time, const ComputeErrorsParameters &parameters={})

std::map< std::string, double >	compute_energy_errors (const HYPRE scheme, const HArDCore2D::NavierStokesSolutions::IExactSolution isolution, const Eigen::VectorXd &uph_half, const Eigen::VectorXd &upI_half, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const double &viscosity, const double &current_time, const double &time_step, const ComputeErrorsParameters &parameters={})

std::map< std::string, double >	compute_errors (const HYPRE scheme, const HArDCore2D::NavierStokesSolutions::IExactSolution isolution, const Eigen::VectorXd &uh, const Eigen::VectorXd &ph, const ComputeErrorsParameters &parameters={}, const double &t=0.)
	Compute errors between the discrete solution and the continuous one.

std::map< std::string, double >	compute_discrete_errors (const HYPRE *scheme, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const Eigen::VectorXd &brh, const Eigen::VectorXd &brI, const double &viscosity, const double &magnetic_diffusivity, const ComputeErrorsParameters &parameters={})

std::map< std::string, double >	compute_errors (const HYPRE scheme, const HArDCore2D::MHDSolutions::IExactSolution isolution, const Eigen::VectorXd &uh, const Eigen::VectorXd &ph, const Eigen::VectorXd &bh, const Eigen::VectorXd &rh, const ComputeErrorsParameters &parameters={}, const double &t=0.)
	Compute errors between the discrete solution and the continuous one.

std::map< std::string, double >	compute_l2_dof_errors (const HYPRE *scheme, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const Eigen::VectorXd &brh, const Eigen::VectorXd &brI, const ComputeErrorsParameters &parameters)
	Compute the errors on DOFs.

std::map< std::string, double >	compute_energy_errors (const HYPRE scheme, const HArDCore2D::MHDSolutions::IExactSolution isolution, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const Eigen::VectorXd &brh, const Eigen::VectorXd &brI, const double &viscosity, const double &magnetic_diffusivity, const double &current_time, const ComputeErrorsParameters &parameters={})

std::map< std::string, double >	compute_energy_errors (const HYPRE scheme, const HArDCore2D::MHDSolutions::IExactSolution isolution, const Eigen::VectorXd &uph_half, const Eigen::VectorXd &upI_half, const Eigen::VectorXd &uph, const Eigen::VectorXd &upI, const Eigen::VectorXd &brh_half, const Eigen::VectorXd &brI_half, const Eigen::VectorXd &brh, const Eigen::VectorXd &brI, const double &viscosity, const double &magnetic_diffusivity, const double &time_step, const double &current_time, const ComputeErrorsParameters &parameters={})

Typedef Documentation

◆ GolyCellType

typedef Family< GradientBasis< ShiftedBasis< MonomialScalarBasisCell > > > HArDCore2D::DSL::GolyCellType

◆ GolyComplCellType

typedef Family< GolyComplBasisCell > HArDCore2D::DSL::GolyComplCellType

◆ LocalPolynomialSpaces

typedef boost::fusion::vector< PolyCellType, PolyEdgeType, PolynCellType, PolynxnCellType, PolynEdgeType, RolyCellType, RolyComplCellType, GolyCellType, GolyComplCellType, RealVertexType, RealnVertexType, RealnxnVertexType > HArDCore2D::DSL::LocalPolynomialSpaces

◆ PolyCellType

typedef Family< MonomialScalarBasisCell > HArDCore2D::DSL::PolyCellType

◆ PolyEdgeType

typedef Family< MonomialScalarBasisEdge > HArDCore2D::DSL::PolyEdgeType

◆ PolynCellType

typedef TensorizedVectorFamily< PolyCellType, dimspace > HArDCore2D::DSL::PolynCellType

◆ PolynEdgeType

typedef TensorizedVectorFamily< Family< MonomialScalarBasisEdge >, dimspace > HArDCore2D::DSL::PolynEdgeType

◆ PolynxnCellType

typedef MatrixFamily< PolyCellType, dimspace > HArDCore2D::DSL::PolynxnCellType

◆ RealnVertexType

typedef VectorRd HArDCore2D::DSL::RealnVertexType

◆ RealnxnVertexType

typedef MatrixRd HArDCore2D::DSL::RealnxnVertexType

◆ RealVertexType

typedef double HArDCore2D::DSL::RealVertexType

◆ RolyCellType

typedef Family< CurlBasis< ShiftedBasis< MonomialScalarBasisCell > > > HArDCore2D::DSL::RolyCellType

◆ RolyComplCellType

typedef Family< RolyComplBasisCell > HArDCore2D::DSL::RolyComplCellType

◆ SymPolynxnCellType

typedef TensorizedVectorFamily<PolyCellType, static_cast<size_t>(dimspace+1)> HArDCore2D::DSL::SymPolynxnCellType

Function Documentation

◆ compare_degrees()

bool HArDCore2D::DSL::compare_degrees	(	const DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor &	P1,
		const DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor &	P2
	)

◆ compute_discrete_errors() [1/2]

std::map< std::string, double > HArDCore2D::DSL::compute_discrete_errors	(	const HYPRE *	scheme,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const double &	viscosity,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the interpolate of the continuous one using the component norm and/or the potential norm, depending on which one is computable

◆ compute_discrete_errors() [2/2]

std::map< std::string, double > HArDCore2D::DSL::compute_discrete_errors	(	const HYPRE *	scheme,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const Eigen::VectorXd &	brh,
		const Eigen::VectorXd &	brI,
		const double &	viscosity,
		const double &	magnetic_diffusivity,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the interpolate of the continuous one using the component norm and/or the potential norm, depending on which one is computable

◆ compute_energy_errors() [1/4]

std::map< std::string, double > HArDCore2D::DSL::compute_energy_errors	(	const HYPRE *	scheme,
		const HArDCore2D::MHDSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const Eigen::VectorXd &	brh,
		const Eigen::VectorXd &	brI,
		const double &	viscosity,
		const double &	magnetic_diffusivity,
		const double &	current_time,
		const ComputeErrorsParameters &	parameters = `{}`
	)

◆ compute_energy_errors() [2/4]

std::map< std::string, double > HArDCore2D::DSL::compute_energy_errors	(	const HYPRE *	scheme,
		const HArDCore2D::MHDSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uph_half,
		const Eigen::VectorXd &	upI_half,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const Eigen::VectorXd &	brh_half,
		const Eigen::VectorXd &	brI_half,
		const Eigen::VectorXd &	brh,
		const Eigen::VectorXd &	brI,
		const double &	viscosity,
		const double &	magnetic_diffusivity,
		const double &	time_step,
		const double &	current_time,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the interpolate of the continuous one using norms and seminorms appearing in the definition of the energy norm

◆ compute_energy_errors() [3/4]

std::map< std::string, double > HArDCore2D::DSL::compute_energy_errors	(	const HYPRE *	scheme,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const double &	viscosity,
		const double &	current_time,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the interpolate of the continuous one using norms and seminorms appearing in the definition of the energy norm

◆ compute_energy_errors() [4/4]

std::map< std::string, double > HArDCore2D::DSL::compute_energy_errors	(	const HYPRE *	scheme,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uph_half,
		const Eigen::VectorXd &	upI_half,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const double &	viscosity,
		const double &	current_time,
		const double &	time_step,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the interpolate of the continuous one using norms and seminorms appearing in the definition of the energy norm This version is geared towards a Crank-Nicolson time stepping: it takes the approximate and exact solutions at two time steps, to compute the L2 norm at integer time steps and the viscosity/advection norms at half-time steps.

Parameters

uph_half	approximate solution at time t^{n+1/2}
upI_half	interpolate of exact solution at time t^{n+1/2}
uph	approximate solution at time t^{n+1}
upI	interpolate of exact solution at time t^{n+1}

◆ compute_errors() [1/3]

std::map< std::string, double > HArDCore2D::DSL::compute_errors	(	const HYPRE *	scheme,
		const HArDCore2D::MHDSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uh,
		const Eigen::VectorXd &	ph,
		const Eigen::VectorXd &	bh,
		const Eigen::VectorXd &	rh,
		const ComputeErrorsParameters &	parameters = `{}`,
		const double &	t = `0.`
	)

Compute errors between the discrete solution and the continuous one.

◆ compute_errors() [2/3]

std::map< std::string, double > HArDCore2D::DSL::compute_errors	(	const HYPRE *	scheme,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uh,
		const Eigen::VectorXd &	ph,
		const ComputeErrorsParameters &	parameters = `{}`
	)

Compute errors between the discrete solution and the continuous one.

◆ compute_errors() [3/3]

std::map< std::string, double > HArDCore2D::DSL::compute_errors	(	const HYPRE *	scheme,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uh,
		const Eigen::VectorXd &	ph,
		const ComputeErrorsParameters &	parameters = `{}`,
		const double &	t = `0.`
	)

Compute errors between the discrete solution and the continuous one.

◆ compute_hho_component_norms()

template<TensorRankE Rank>

std::vector< std::pair< double, double > > HArDCore2D::DSL::compute_hho_component_norms	(	const DiscreteSpace &	Vh,
		const std::vector< Eigen::VectorXd > &	vh,
		bool	use_threads = `true`
	)

◆ compute_hho_potential_norms()

template<TensorRankE Rank>

std::vector< std::pair< double, double > > HArDCore2D::DSL::compute_hho_potential_norms	(	const DiscreteSpace &	Vh,
		const std::vector< Eigen::MatrixXd > &	potential,
		const std::vector< Eigen::MatrixXd > &	stabilization,
		const std::vector< Eigen::VectorXd > &	vh,
		bool	use_threads = `true`
	)

◆ compute_l2_dof_errors() [1/2]

std::map< std::string, double > HArDCore2D::DSL::compute_l2_dof_errors	(	const HYPRE *	scheme,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const ComputeErrorsParameters &	parameters
	)

Compute the errors on DOFs.

◆ compute_l2_dof_errors() [2/2]

std::map< std::string, double > HArDCore2D::DSL::compute_l2_dof_errors	(	const HYPRE *	scheme,
		const Eigen::VectorXd &	uph,
		const Eigen::VectorXd &	upI,
		const Eigen::VectorXd &	brh,
		const Eigen::VectorXd &	brI,
		const ComputeErrorsParameters &	parameters
	)

Compute the errors on DOFs.

◆ compute_l2_dof_norms()

template<typename CellDofsMapType , typename EdgeDofsMapType >

std::vector< double > HArDCore2D::DSL::compute_l2_dof_norms	(	const DiscreteSpace &	Vh,
		const CellDofsMapType &	cell_dofs_map,
		const EdgeDofsMapType &	edge_dofs_map,
		const std::vector< Eigen::VectorXd > &	vh,
		bool	use_threads = `true`
	)

Compute L2 component norms for spaces with generic cell and edge DOFs.

◆ hho_interpolate()

template<TensorRankE Rank, typename F >

Eigen::VectorXd HArDCore2D::DSL::hho_interpolate	(	const DiscreteSpace &	Vh,
		const F &	v,
		const InterpolateParameters &	parameters = `{}`
	)

◆ make_dof()

DiscreteSpaceDescriptor::LocalPolynomialSpaceDescriptor HArDCore2D::DSL::make_dof	(	const std::string	name,
		size_t	degree
	)

Classes

Typedefs

Functions

Typedef Documentation

◆ GolyCellType

◆ GolyComplCellType

◆ LocalPolynomialSpaces

◆ PolyCellType

◆ PolyEdgeType

◆ PolynCellType

◆ PolynEdgeType

◆ PolynxnCellType

◆ RealnVertexType

◆ RealnxnVertexType

◆ RealVertexType

◆ RolyCellType

◆ RolyComplCellType

◆ SymPolynxnCellType

Function Documentation

◆ compare_degrees()

◆ compute_discrete_errors() [1/2]

◆ compute_discrete_errors() [2/2]

◆ compute_energy_errors() [1/4]

◆ compute_energy_errors() [2/4]

◆ compute_energy_errors() [3/4]

◆ compute_energy_errors() [4/4]

◆ compute_errors() [1/3]

◆ compute_errors() [2/3]

◆ compute_errors() [3/3]

◆ compute_hho_component_norms()

◆ compute_hho_potential_norms()

◆ compute_l2_dof_errors() [1/2]

◆ compute_l2_dof_errors() [2/2]

◆ compute_l2_dof_norms()

◆ hho_interpolate()

◆ make_dof()