contains data mapping from points to meshes. More...

Namespaces
namespace	impl
namespace	kernel
namespace	tests

Classes
class	AxialGeoMultiscaleMapping
	Geometric multiscale mapping in axial direction. More...
class	BarycentricBaseMapping
	Base class for interpolation based mappings, where mapping is done using a geometry-based linear combination of input values. Subclasses differ by the way computeMapping() fills the _interpolations and by mesh tagging. Mapping itself is shared. More...
class	CompactPolynomialC0
	Wendland radial basis function with compact support. More...
class	CompactPolynomialC2
	Wendland radial basis function with compact support. More...
class	CompactPolynomialC4
	Wendland radial basis function with compact support. More...
class	CompactPolynomialC6
	Wendland radial basis function with compact support. More...
class	CompactPolynomialC8
	Wendland radial basis function with compact support. More...
struct	CompactSupportBase
	Base class for RBF with compact support. More...
class	CompactThinPlateSplinesC2
	Radial basis function with compact support. More...
struct	DefiniteFunction
	Base class for RBF functions to distinguish positive definite functions. More...
class	Gaussian
	Radial basis function with global and compact support. More...
class	GinkgoRadialBasisFctSolver
class	InverseMultiquadrics
	Radial basis function with global support. More...
class	LinearCellInterpolationMapping
	Mapping using orthogonal projection to nearest triangle/edge/vertex and linear interpolation from projected point. More...
class	Mapping
	Abstract base class for mapping of data from one mesh to another. More...
class	MappingConfiguration
	Performs XML configuration and holds configured mappings. More...
class	Multiquadrics
	Radial basis function with global support. More...
class	NearestNeighborBaseMapping
class	NearestNeighborGradientMapping
	Mapping using nearest neighboring vertices and their local gradient values. More...
class	NearestNeighborMapping
	Mapping using nearest neighboring vertices. More...
class	NearestProjectionMapping
	Mapping using orthogonal projection to nearest triangle/edge/vertex and linear interpolation from projected point. More...
struct	NoCompactSupportBase
	Base class for RBF without compact support. More...
class	PartitionOfUnityMapping
class	PetRadialBasisFctMapping
	Mapping with radial basis functions using the Petsc library to solve the resulting system. More...
class	Polation
	Calculates the barycentric coordinates of a coordinate on the given vertex/edge/triangle and stores the corresponding weights If all barycentric coordinates are positive, the operation is interpolation. If not, it is an extrapolation. More...
class	RadialBasisFctBaseMapping
	Mapping with radial basis functions. More...
class	RadialBasisFctMapping
	Mapping with radial basis functions. More...
class	RadialBasisFctSolver
struct	RadialBasisParameters
	Wrapper struct that is used to transfer RBF-specific parameters to the GPU. More...
class	RadialGeoMultiscaleMapping
	Geometric multiscale mapping in radial direction. More...
class	SphericalVertexCluster
class	ThinPlateSplines
	Radial basis function with global support. More...
class	VolumeSplines
	Radial basis function with global support. More...
struct	WeightedElement
	Struct that contains weight and index of a vertex. More...

Typedefs
using	PtrMapping = std::shared_ptr<Mapping>
using	PtrMappingConfiguration = std::shared_ptr<MappingConfiguration>

Enumerations
enum class	Polynomial { ON , OFF , SEPARATE }
	How to handle the polynomial? More...
enum class	BasisFunction { WendlandC0 , WendlandC2 , WendlandC4 , WendlandC6 , WendlandC8 , ThinPlateSplines , Multiquadrics , InverseMultiquadrics , VolumeSplines , Gaussian , CompactThinPlateSplinesC2 }
enum class	GinkgoSolverType { CG , GMRES , QR }
enum class	GinkgoPreconditionerType { Jacobi , Cholesky , None }

Functions
std::shared_ptr< gko::Executor >	create_device_executor (const std::string &execName, bool enableUnifiedMemory)
bool	operator< (Mapping::MeshRequirement lhs, Mapping::MeshRequirement rhs)
std::ostream &	operator<< (std::ostream &out, Mapping::MeshRequirement val)
std::ostream &	operator<< (std::ostream &os, const WeightedElement &w)
	Make the WeightedElement printable.
std::ostream &	operator<< (std::ostream &os, const Polation &p)
	Make the Polation class printable.
double	computeSquaredDifference (const std::array< double, 3 > &u, std::array< double, 3 > v, const std::array< bool, 3 > &activeAxis={{true, true, true}})
	Deletes all dead directions from fullVector and returns a vector of reduced dimensionality.
template<typename IndexContainer>
constexpr void	reduceActiveAxis (const mesh::Mesh &mesh, const IndexContainer &IDs, std::array< bool, 3 > &axis)
	given the active axis, computes sets the axis with the lowest spatial expansion to dead
template<typename IndexContainer>
void	fillPolynomialEntries (Eigen::MatrixXd &matrix, const mesh::Mesh &mesh, const IndexContainer &IDs, Eigen::Index startIndex, std::array< bool, 3 > activeAxis)
template<typename RADIAL_BASIS_FUNCTION_T, typename IndexContainer>
Eigen::MatrixXd	buildMatrixCLU (RADIAL_BASIS_FUNCTION_T basisFunction, const mesh::Mesh &inputMesh, const IndexContainer &inputIDs, std::array< bool, 3 > activeAxis, Polynomial polynomial)
template<typename RADIAL_BASIS_FUNCTION_T, typename IndexContainer>
Eigen::MatrixXd	buildMatrixA (RADIAL_BASIS_FUNCTION_T basisFunction, const mesh::Mesh &inputMesh, const IndexContainer &inputIDs, const mesh::Mesh &outputMesh, const IndexContainer outputIDs, std::array< bool, 3 > activeAxis, Polynomial polynomial)
Eigen::VectorXd	computeInverseDiagonal (Eigen::LLT< Eigen::MatrixXd > decMatrixC)
Eigen::VectorXd	computeInverseDiagonal (Eigen::ColPivHouseholderQR< Eigen::MatrixXd > decMatrixC)

Variables
const std::map< std::string, GinkgoSolverType >	solverTypeLookup
const std::map< std::string, GinkgoPreconditionerType >	preconditionerTypeLookup

Detailed Description

contains data mapping from points to meshes.

Typedef Documentation

◆ PtrMapping

using precice::mapping::PtrMapping = std::shared_ptr<Mapping>

Definition at line 10 of file SharedPointer.hpp.

◆ PtrMappingConfiguration

using precice::mapping::PtrMappingConfiguration = std::shared_ptr<MappingConfiguration>

Definition at line 11 of file SharedPointer.hpp.

Enumeration Type Documentation

◆ BasisFunction

enum class precice::mapping::BasisFunction

strong

Enumerator
WendlandC0
WendlandC2
WendlandC4
WendlandC6
WendlandC8
ThinPlateSplines
Multiquadrics
InverseMultiquadrics
VolumeSplines
Gaussian
CompactThinPlateSplinesC2

Definition at line 17 of file MappingConfigurationTypes.hpp.

◆ GinkgoPreconditionerType

enum class precice::mapping::GinkgoPreconditionerType

strong

Enumerator
Jacobi
Cholesky
None

Definition at line 37 of file GinkgoRadialBasisFctSolver.hpp.

◆ GinkgoSolverType

enum class precice::mapping::GinkgoSolverType

strong

Enumerator
CG
GMRES
QR

Definition at line 31 of file GinkgoRadialBasisFctSolver.hpp.

◆ Polynomial

enum class precice::mapping::Polynomial

strong

How to handle the polynomial?

ON: Include it in the system matrix OFF: Omit it altogether SEPARATE: Compute it separately using least-squares QR.

Enumerator
ON
OFF
SEPARATE

Definition at line 11 of file MappingConfigurationTypes.hpp.

Function Documentation

◆ buildMatrixA()

template<typename RADIAL_BASIS_FUNCTION_T, typename IndexContainer>

Eigen::MatrixXd precice::mapping::buildMatrixA	(	RADIAL_BASIS_FUNCTION_T	basisFunction,
		const mesh::Mesh &	inputMesh,
		const IndexContainer &	inputIDs,
		const mesh::Mesh &	outputMesh,
		const IndexContainer	outputIDs,
		std::array< bool, 3 >	activeAxis,
		Polynomial	polynomial )

Definition at line 210 of file RadialBasisFctSolver.hpp.

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◆ buildMatrixCLU()

template<typename RADIAL_BASIS_FUNCTION_T, typename IndexContainer>

Eigen::MatrixXd precice::mapping::buildMatrixCLU	(	RADIAL_BASIS_FUNCTION_T	basisFunction,
		const mesh::Mesh &	inputMesh,
		const IndexContainer &	inputIDs,
		std::array< bool, 3 >	activeAxis,
		Polynomial	polynomial )

Definition at line 165 of file RadialBasisFctSolver.hpp.

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◆ computeInverseDiagonal() [1/2]

Eigen::VectorXd precice::mapping::computeInverseDiagonal ( Eigen::ColPivHouseholderQR< Eigen::MatrixXd > decMatrixC )

inline

Definition at line 279 of file RadialBasisFctSolver.hpp.

◆ computeInverseDiagonal() [2/2]

Eigen::VectorXd precice::mapping::computeInverseDiagonal ( Eigen::LLT< Eigen::MatrixXd > decMatrixC )

inline

Definition at line 245 of file RadialBasisFctSolver.hpp.

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◆ computeSquaredDifference()

double precice::mapping::computeSquaredDifference	(	const std::array< double, 3 > &	u,
		std::array< double, 3 >	v,
		const std::array< bool, 3 > &	activeAxis = {{true, true, true}} )

inline

Deletes all dead directions from fullVector and returns a vector of reduced dimensionality.

Definition at line 102 of file RadialBasisFctSolver.hpp.

◆ create_device_executor()

std::shared_ptr< gko::Executor > precice::mapping::create_device_executor	(	const std::string &	execName,
		bool	enableUnifiedMemory )

Definition at line 16 of file GinkgoRBFKernels.cpp.

◆ fillPolynomialEntries()

template<typename IndexContainer>

void precice::mapping::fillPolynomialEntries	(	Eigen::MatrixXd &	matrix,
		const mesh::Mesh &	mesh,
		const IndexContainer &	IDs,
		Eigen::Index	startIndex,
		std::array< bool, 3 >	activeAxis )

inline

Definition at line 141 of file RadialBasisFctSolver.hpp.

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◆ operator<()

bool precice::mapping::operator<	(	Mapping::MeshRequirement	lhs,
		Mapping::MeshRequirement	rhs )

Defines an ordering for MeshRequirement in terms of specificality

Parameters

[in]	lhs	the left-hand side of the binary operator
[in]	rhs	the right-hand side of the binary operator

Definition at line 321 of file Mapping.cpp.

◆ operator<<() [1/3]

std::ostream & precice::mapping::operator<<	(	std::ostream &	os,
		const Polation &	p )

Make the Polation class printable.

Definition at line 106 of file Polation.cpp.

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◆ operator<<() [2/3]

std::ostream & precice::mapping::operator<<	(	std::ostream &	os,
		const WeightedElement &	w )

Make the WeightedElement printable.

Definition at line 101 of file Polation.cpp.

◆ operator<<() [3/3]

std::ostream & precice::mapping::operator<<	(	std::ostream &	out,
		Mapping::MeshRequirement	val )

Defines the output operation to streams

Parameters

[in,out]	out	stream to output to.
[in]	val	the value to output.

Definition at line 334 of file Mapping.cpp.

◆ reduceActiveAxis()

template<typename IndexContainer>

void precice::mapping::reduceActiveAxis	(	const mesh::Mesh &	mesh,
		const IndexContainer &	IDs,
		std::array< bool, 3 > &	axis )

constexpr

given the active axis, computes sets the axis with the lowest spatial expansion to dead

Definition at line 117 of file RadialBasisFctSolver.hpp.

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Variable Documentation

◆ preconditionerTypeLookup

const std::map<std::string, GinkgoPreconditionerType> precice::mapping::preconditionerTypeLookup

Initial value:

{
    {"jacobi-preconditioner", GinkgoPreconditionerType::Jacobi},
    {"cholesky-preconditioner", GinkgoPreconditionerType::Cholesky},
    {"no-preconditioner", GinkgoPreconditionerType::None}}

Definition at line 50 of file GinkgoRadialBasisFctSolver.hpp.

◆ solverTypeLookup

const std::map<std::string, GinkgoSolverType> precice::mapping::solverTypeLookup

Initial value:

{
    {"cg-solver", GinkgoSolverType::CG},
    {"gmres-solver", GinkgoSolverType::GMRES},
    {"qr-solver", GinkgoSolverType::QR}}

Definition at line 45 of file GinkgoRadialBasisFctSolver.hpp.

Namespaces

Classes

Typedefs

Enumerations

Functions

Variables

Detailed Description

Typedef Documentation

◆ PtrMapping

◆ PtrMappingConfiguration

Enumeration Type Documentation

◆ BasisFunction

◆ GinkgoPreconditionerType

◆ GinkgoSolverType

◆ Polynomial

Function Documentation

◆ buildMatrixA()

◆ buildMatrixCLU()

◆ computeInverseDiagonal() [1/2]

◆ computeInverseDiagonal() [2/2]

◆ computeSquaredDifference()

◆ create_device_executor()

◆ fillPolynomialEntries()

◆ operator<()

◆ operator<<() [1/3]

◆ operator<<() [2/3]

◆ operator<<() [3/3]

◆ reduceActiveAxis()

Variable Documentation

◆ preconditionerTypeLookup

◆ solverTypeLookup