virtual base class for reference mappings More...

#include <reference_mapping_provider.h>

Public Member Functions
virtual void	global_to_local (MathVector< dim > &locPos, const MathVector< worldDim > &globPos, const size_t maxIter=1000, const number tol=1e-10) const =0
	map global coordinate to local coordinate More...

virtual void	global_to_local (MathVector< dim > vLocPos, const MathVector< worldDim > vGlobPos, size_t n, const size_t maxIter=1000, const number tol=1e-10) const =0
	map global coordinate to local coordinate for n local positions More...

virtual void	global_to_local (std::vector< MathVector< dim > > &vLocPos, const std::vector< MathVector< worldDim > > &vGlobPos, const size_t maxIter=1000, const number tol=1e-10) const =0
	map global coordinate to local coordinate for a vector of local positions More...

virtual bool	is_linear () const =0
	returns if mapping is affine More...

virtual void	jacobian (MathMatrix< worldDim, dim > &J, const MathVector< dim > &locPos) const =0
	returns jacobian More...

virtual void	jacobian (MathMatrix< worldDim, dim > vJ, const MathVector< dim > vLocPos, size_t n) const =0
	returns jacobian for n local positions More...

virtual void	jacobian (std::vector< MathMatrix< worldDim, dim > > &vJ, const std::vector< MathVector< dim > > &vLocPos) const =0
	returns jacobian for a vector of local positions More...

virtual void	jacobian_transposed (MathMatrix< dim, worldDim > &JT, const MathVector< dim > &locPos) const =0
	returns transposed of jacobian More...

virtual void	jacobian_transposed (MathMatrix< dim, worldDim > vJT, const MathVector< dim > vLocPos, size_t n) const =0
	returns transposed of jacobian for n local positions More...

virtual void	jacobian_transposed (std::vector< MathMatrix< dim, worldDim > > &vJT, const std::vector< MathVector< dim > > &vLocPos) const =0
	returns transposed of jacobian for a vector of positions More...

virtual number	jacobian_transposed_inverse (MathMatrix< worldDim, dim > &JTInv, const MathVector< dim > &locPos) const =0
	returns transposed of the inverse of the jacobian and returns sqrt of gram determinante More...

virtual void	jacobian_transposed_inverse (MathMatrix< worldDim, dim > vJTInv, const MathVector< dim > vLocPos, size_t n) const =0
	returns transposed of the inverse of the jacobian for n local positions More...

virtual void	jacobian_transposed_inverse (MathMatrix< worldDim, dim > vJTInv, number vDet, const MathVector< dim > *vLocPos, size_t n) const =0
	returns transposed of the inverse of the jacobian for n local positions More...

virtual void	jacobian_transposed_inverse (std::vector< MathMatrix< worldDim, dim > > &vJTInv, const std::vector< MathVector< dim > > &vLocPos) const =0
	returns transposed of the inverse of the jacobian for a vector of positions More...

virtual void	jacobian_transposed_inverse (std::vector< MathMatrix< worldDim, dim > > &vJTInv, std::vector< number > &vDet, const std::vector< MathVector< dim > > &vLocPos) const =0
	returns transposed of the inverse of the jacobian for a vector of positions More...

virtual void	local_to_global (MathVector< worldDim > &globPos, const MathVector< dim > &locPos) const =0
	map local coordinate to global coordinate More...

virtual void	local_to_global (MathVector< worldDim > vGlobPos, const MathVector< dim > vLocPos, size_t n) const =0
	map n local coordinate to global coordinate More...

virtual void	local_to_global (std::vector< MathVector< worldDim > > &vGlobPos, const std::vector< MathVector< dim > > &vLocPos) const =0
	map local coordinate to global coordinate for a vector of local positions More...

virtual number	sqrt_gram_det (const MathVector< dim > &locPos) const =0
	returns the determinate of the jacobian More...

virtual void	sqrt_gram_det (number vDet, const MathVector< dim > vLocPos, size_t n) const =0
	returns the determinate of the jacobian for n local positions More...

virtual void	sqrt_gram_det (std::vector< number > &vDet, const std::vector< MathVector< dim > > &vLocPos) const =0
	returns the determinate of the jacobian for a vector of local positions More...

virtual void	update (const MathVector< worldDim > *vCornerCoord)=0
	refresh mapping for new set of corners More...

virtual void	update (const std::vector< MathVector< worldDim > > &vCornerCoord)=0
	refresh mapping for new set of corners More...

virtual	~DimReferenceMapping ()
	virtual destructor More...

Static Public Attributes
static const int	dim = TDim
	reference dimension (domain space dimension) More...

static const int	worldDim = TWorldDim
	world dimension (range space dimension) More...

Detailed Description

template<int TDim, int TWorldDim = TDim>
class ug::DimReferenceMapping< TDim, TWorldDim >

virtual base class for reference mappings

This class is the base class for reference mappings in order to make them selectable through a provider (on the price of virtual functions).

Template Parameters

TDim	reference element dimension
TWorldDim	(physical) world dimension

Constructor & Destructor Documentation

◆ ~DimReferenceMapping()

template<int TDim, int TWorldDim = TDim>

virtual ug::DimReferenceMapping< TDim, TWorldDim >::~DimReferenceMapping ( )

inlinevirtual

virtual destructor

Member Function Documentation

◆ global_to_local() [1/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::global_to_local	(	MathVector< dim > &	locPos,
		const MathVector< worldDim > &	globPos,
		const size_t	maxIter = `1000`,
		const number	tol = `1e-10`
	)		const

pure virtual

map global coordinate to local coordinate

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::EdgeReferenceMappingTest(), ug::L2DistIntegrand< TGridFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::UserDataDistIntegrandSq< TData, TGridFunction >::evaluate(), ug::OutNormCmp< TDomain >::evaluate(), ug::bridge::Evaluate::NumberValuedUserDataEvaluator< TDomain, TAlgebra >::evaluateOnThisProcess(), ug::bridge::Evaluate::VectorValuedUserDataEvaluator< TDomain, TAlgebra >::evaluateOnThisProcess(), ug::OctReferenceMappingTest(), ug::CrouzeixRaviartElemTransfer< TDomain >::prolongate(), ug::StdLagrangeElemTransfer< TDomain >::prolongate(), ug::ProlongateElemwise(), ug::RestrictElemwise(), ug::ShapesAtGlobalPositionElem(), ug::SubLocalDoFSet< TDim >::SubLocalDoFSet(), and ug::TetReferenceMappingTest().

◆ global_to_local() [2/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::global_to_local	(	MathVector< dim > *	vLocPos,
		const MathVector< worldDim > *	vGlobPos,
		size_t	n,
		const size_t	maxIter = `1000`,
		const number	tol = `1e-10`
	)		const

pure virtual

map global coordinate to local coordinate for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ global_to_local() [3/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::global_to_local	(	std::vector< MathVector< dim > > &	vLocPos,
		const std::vector< MathVector< worldDim > > &	vGlobPos,
		const size_t	maxIter = `1000`,
		const number	tol = `1e-10`
	)		const

pure virtual

map global coordinate to local coordinate for a vector of local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ is_linear()

template<int TDim, int TWorldDim = TDim>

virtual bool ug::DimReferenceMapping< TDim, TWorldDim >::is_linear ( ) const

pure virtual

returns if mapping is affine

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::DimFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update(), ug::DimCRFVGeometry< TDim, TWorldDim >::update(), and ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging().

◆ jacobian() [1/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian	(	MathMatrix< worldDim, dim > &	J,
		const MathVector< dim > &	locPos
	)		const

pure virtual

returns jacobian

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::ProjectionLinker< dim >::eval_and_deriv(), and ug::ProjectionLinker< dim >::evaluate().

◆ jacobian() [2/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian	(	MathMatrix< worldDim, dim > *	vJ,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

returns jacobian for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian() [3/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian	(	std::vector< MathMatrix< worldDim, dim > > &	vJ,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

returns jacobian for a vector of local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed() [1/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed	(	MathMatrix< dim, worldDim > &	JT,
		const MathVector< dim > &	locPos
	)		const

pure virtual

returns transposed of jacobian

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::GridFunctionGradientData< TGridFunction >::eval_and_deriv(), ug::GradientDataExport< dim >::eval_and_deriv(), ug::GridFunctionGradientComponentData< TGridFunction >::eval_and_deriv(), ug::GlobalGridFunctionGradientData< TGridFunction >::evaluate(), ug::ExplicitGridFunctionGradient< TGridFunction >::evaluate(), ug::IntegralNormalComponentOnManifoldGeneral(), and ug::Integrate().

◆ jacobian_transposed() [2/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed	(	MathMatrix< dim, worldDim > *	vJT,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

returns transposed of jacobian for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed() [3/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed	(	std::vector< MathMatrix< dim, worldDim > > &	vJT,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

returns transposed of jacobian for a vector of positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed_inverse() [1/5]

template<int TDim, int TWorldDim = TDim>

virtual number ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed_inverse	(	MathMatrix< worldDim, dim > &	JTInv,
		const MathVector< dim > &	locPos
	)		const

pure virtual

returns transposed of the inverse of the jacobian and returns sqrt of gram determinante

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::ComputeGradientCrouzeixRaviart(), ug::ComputeGradientLagrange1(), ug::GradientEvaluator_LagrangeP1< TFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::H1SemiIntegrand< TGridFunction >::evaluate(), ug::H1EnergyIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), ug::DimFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update(), ug::DimCRFVGeometry< TDim, TWorldDim >::update(), ug::DimFEGeometry< TWorldDim, TRefDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces(), and ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging().

◆ jacobian_transposed_inverse() [2/5]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed_inverse	(	MathMatrix< worldDim, dim > *	vJTInv,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

returns transposed of the inverse of the jacobian for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed_inverse() [3/5]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed_inverse	(	MathMatrix< worldDim, dim > *	vJTInv,
		number *	vDet,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

returns transposed of the inverse of the jacobian for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed_inverse() [4/5]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed_inverse	(	std::vector< MathMatrix< worldDim, dim > > &	vJTInv,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

returns transposed of the inverse of the jacobian for a vector of positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ jacobian_transposed_inverse() [5/5]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::jacobian_transposed_inverse	(	std::vector< MathMatrix< worldDim, dim > > &	vJTInv,
		std::vector< number > &	vDet,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

returns transposed of the inverse of the jacobian for a vector of positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ local_to_global() [1/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::local_to_global	(	MathVector< worldDim > &	globPos,
		const MathVector< dim > &	locPos
	)		const

pure virtual

map local coordinate to global coordinate

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::SideAndElemErrEstData< TDomain >::all_side_global_ips(), ug::DoFPositionElem(), ug::SideAndElemErrEstData< TDomain >::elem_global_ips(), ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::InnerDoFPositionElem(), ug::IntegralNormalComponentOnManifoldGeneral(), ug::Integrate(), ug::DimFEGeometry< TWorldDim, TRefDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), and ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces().

◆ local_to_global() [2/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::local_to_global	(	MathVector< worldDim > *	vGlobPos,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

map n local coordinate to global coordinate

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ local_to_global() [3/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::local_to_global	(	std::vector< MathVector< worldDim > > &	vGlobPos,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

map local coordinate to global coordinate for a vector of local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ sqrt_gram_det() [1/3]

template<int TDim, int TWorldDim = TDim>

virtual number ug::DimReferenceMapping< TDim, TWorldDim >::sqrt_gram_det ( const MathVector< dim > & locPos ) const

pure virtual

returns the determinate of the jacobian

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::GaussQuadratureOctahedron::GaussQuadratureOctahedron(), ug::GaussQuadraturePyramid::GaussQuadraturePyramid(), ug::SideAndElemErrEstData< TDomain >::get_elem_error_indicator(), ug::DimFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update(), ug::DimCRFVGeometry< TDim, TWorldDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), and ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging().

◆ sqrt_gram_det() [2/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::sqrt_gram_det	(	number *	vDet,
		const MathVector< dim > *	vLocPos,
		size_t	n
	)		const

pure virtual

returns the determinate of the jacobian for n local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ sqrt_gram_det() [3/3]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::sqrt_gram_det	(	std::vector< number > &	vDet,
		const std::vector< MathVector< dim > > &	vLocPos
	)		const

pure virtual

returns the determinate of the jacobian for a vector of local positions

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

◆ update() [1/2]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::update ( const MathVector< worldDim > * vCornerCoord )

pure virtual

refresh mapping for new set of corners

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Referenced by ug::ComputeGradientCrouzeixRaviart(), ug::ComputeGradientLagrange1(), ug::ProjectionLinker< dim >::eval_and_deriv(), ug::GradientEvaluator_LagrangeP1< TFunction >::evaluate(), ug::ProjectionLinker< dim >::evaluate(), ug::ReferenceMappingProvider::get(), ug::SideAndElemErrEstData< TDomain >::get_elem_error_indicator(), ug::Integrate(), ug::DimFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update(), ug::DimCRFVGeometry< TDim, TWorldDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces(), and ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging().

◆ update() [2/2]

template<int TDim, int TWorldDim = TDim>

virtual void ug::DimReferenceMapping< TDim, TWorldDim >::update ( const std::vector< MathVector< worldDim > > & vCornerCoord )

pure virtual

refresh mapping for new set of corners

Implemented in ug::DimReferenceMappingWrapper< TRefMapping >.

Member Data Documentation

◆ dim

template<int TDim, int TWorldDim = TDim>

const int ug::DimReferenceMapping< TDim, TWorldDim >::dim = TDim

static

reference dimension (domain space dimension)

◆ worldDim

template<int TDim, int TWorldDim = TDim>

const int ug::DimReferenceMapping< TDim, TWorldDim >::worldDim = TWorldDim

static

world dimension (range space dimension)

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

ugbase/lib_disc/reference_element/reference_mapping_provider.h

Public Member Functions

Static Public Attributes

Detailed Description

template<int TDim, int TWorldDim = TDim> class ug::DimReferenceMapping< TDim, TWorldDim >

Constructor & Destructor Documentation

◆ ~DimReferenceMapping()

Member Function Documentation

◆ global_to_local() [1/3]

◆ global_to_local() [2/3]

◆ global_to_local() [3/3]

◆ is_linear()

◆ jacobian() [1/3]

◆ jacobian() [2/3]

◆ jacobian() [3/3]

◆ jacobian_transposed() [1/3]

◆ jacobian_transposed() [2/3]

◆ jacobian_transposed() [3/3]

◆ jacobian_transposed_inverse() [1/5]

◆ jacobian_transposed_inverse() [2/5]

◆ jacobian_transposed_inverse() [3/5]

◆ jacobian_transposed_inverse() [4/5]

◆ jacobian_transposed_inverse() [5/5]

◆ local_to_global() [1/3]

◆ local_to_global() [2/3]

◆ local_to_global() [3/3]

◆ sqrt_gram_det() [1/3]

◆ sqrt_gram_det() [2/3]

◆ sqrt_gram_det() [3/3]

◆ update() [1/2]

◆ update() [2/2]

Member Data Documentation

◆ dim

◆ worldDim

template<int TDim, int TWorldDim = TDim>
class ug::DimReferenceMapping< TDim, TWorldDim >