A class representing a Nedelec space for finite element methods on a structured, rectilinear grid. More...

#include <NedelecSpace.h>

Inheritance diagram for ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >:

Collaboration diagram for ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >:

Public Types
typedef FiniteElementSpace< T, Dim, numElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::indices_t	indices_t
typedef FiniteElementSpace< T, Dim, numElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::point_t	point_t
typedef FiniteElementSpace< T, Dim, numElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::vertex_points_t	vertex_points_t
typedef FieldLayout< Dim >	Layout_t
typedef detail::ViewType< T, 1 >::view_type	ViewType
typedef detail::ViewType< T, 1, Kokkos::MemoryTraits< Kokkos::Atomic > >::view_type	AtomicViewType
typedef Vector< size_t, numElementVertices >	vertex_indices_t
typedef Vector< indices_t, numElementVertices >	indices_list_t

Public Member Functions
	NedelecSpace (UniformCartesian< T, Dim > &mesh, ElementType &ref_element, const QuadratureType &quadrature, const Layout_t &layout)
	Construct a new NedelecSpace object.
	NedelecSpace (UniformCartesian< T, Dim > &mesh, ElementType &ref_element, const QuadratureType &quadrature)
	Construct a new NedelecSpace object (without layout) This constructor is made to work with the default constructor in FEMPoissonSolver.h such that it is compatible with alpine.
void	initialize (UniformCartesian< T, Dim > &mesh, const Layout_t &layout)
	Initialize a NedelecSpace object created with the default constructor.
void	initializeElementIndices (const Layout_t &layout)
	Initialize a Kokkos view containing the element indices.
KOKKOS_FUNCTION size_t	numGlobalDOFs () const override
	Degree of Freedom operations //////////////////////////////////////.
KOKKOS_FUNCTION size_t	getLocalDOFIndex (const size_t &elementIndex, const size_t &globalDOFIndex) const override
	Get the elements local DOF from the element index and global DOF index.
KOKKOS_FUNCTION size_t	getGlobalDOFIndex (const size_t &elementIndex, const size_t &localDOFIndex) const override
	Get the global DOF index from the element index and local DOF.
KOKKOS_FUNCTION Vector< size_t, numElementDOFs >	getLocalDOFIndices () const override
	Get the local DOF indices (vector of local DOF indices) They are independent of the specific element because it only depends on the reference element type.
KOKKOS_FUNCTION Vector< size_t, numElementDOFs >	getGlobalDOFIndices (const size_t &elementIndex) const override
	Get the global DOF indices (vector of global DOF indices) of an element.
KOKKOS_FUNCTION Vector< size_t, numElementDOFs >	getGlobalDOFIndices (const indices_t &elementIndex) const
	Get the global DOF indices (vector of global DOF indices) of an element.
KOKKOS_FUNCTION Vector< size_t, numElementDOFs >	getFEMVectorDOFIndices (const size_t &elementIndex, NDIndex< Dim > ldom) const
	Get the DOF indices (vector of indices) corresponding to the position inside the FEMVector of an element.
KOKKOS_FUNCTION Vector< size_t, numElementDOFs >	getFEMVectorDOFIndices (indices_t elementIndex, NDIndex< Dim > ldom) const
	Get the DOF indices (vector of indices) corresponding to the position inside the FEMVector of an element.
KOKKOS_FUNCTION point_t	getLocalDOFPosition (size_t localDOFIndex) const
	Get the cartesion position of a local DOF in the reference element.
KOKKOS_FUNCTION point_t	evaluateRefElementShapeFunction (const size_t &localDOF, const point_t &localPoint) const
	Basis functions and gradients /////////////////////////////////////.
KOKKOS_FUNCTION point_t	evaluateRefElementShapeFunctionCurl (const size_t &localDOF, const point_t &localPoint) const
	Evaluate the curl of the shape function of a local degree of of freedom at ta given point in the reference element.
template<typename F>
FEMVector< T >	evaluateAx (FEMVector< T > &x, F &evalFunction) const
	Assembly operations ///////////////////////////////////////////////.
FEMVector< T >	evaluateLoadVector (const FEMVector< point_t > &f) const
	Assemble the load vector b of the system Ax = b, given a field of the right hand side defined at the Nédélec DOF positions. If a functor instead of a field should be used, use the function `NedelecSpace::evaluateLoadVectorFunctor`.
template<typename F>
FEMVector< T >	evaluateLoadVectorFunctor (const F &f) const
	Assemble the load vector b of the system Ax = b, given a functional of the rhs. If a field instead of a functor should be used, use the function `NedelecSpace::evaluateLoadVector`.
FEMVector< T >	createFEMVector () const
	FEMVector conversion and creation//////////////////////////////////.
Kokkos::View< point_t * >	reconstructToPoints (const Kokkos::View< point_t * > &positions, const FEMVector< T > &coef) const
	Reconstructs function values at arbitrary points in the mesh given the Nedelec DOF coefficients.
template<typename F>
T	computeError (const FEMVector< T > &u_h, const F &u_sol) const
	Error norm computations ///////////////////////////////////////////.
KOKKOS_FUNCTION bool	isDOFOnBoundary (const size_t &dofIdx) const
	Check if a DOF is on the boundary of the mesh.
KOKKOS_FUNCTION int	getBoundarySide (const size_t &dofIdx) const
	Returns which side the boundary is on.
void	setMesh (UniformCartesian< T, Dim > &mesh)
KOKKOS_FUNCTION size_t	numElements () const
	Mesh and Element operations ///////////////////////////////////////.
KOKKOS_FUNCTION size_t	numElementsInDim (const size_t &dim) const
	Get the number of elements in a given dimension.
KOKKOS_FUNCTION indices_t	getMeshVertexNDIndex (const size_t &vertex_index) const
	Get the NDIndex of a mesh vertex.
KOKKOS_FUNCTION size_t	getMeshVertexIndex (const indices_t &vertex_nd_index) const
	Get the global index of a mesh vertex given its NDIndex.
KOKKOS_FUNCTION indices_t	getElementNDIndex (const size_t &elementIndex) const
	Get the NDIndex (vector of indices for each dimension) of a mesh element.
KOKKOS_FUNCTION size_t	getElementIndex (const indices_t &ndindex) const
	Get the global index of a mesh element given the NDIndex.
KOKKOS_FUNCTION vertex_indices_t	getElementMeshVertexIndices (const indices_t &elementNDIndex) const
	Get all the global vertex indices of an element (given by its NDIndex).
KOKKOS_FUNCTION indices_list_t	getElementMeshVertexNDIndices (const indices_t &elementNDIndex) const
	Get all the NDIndices of the vertices of an element (given by its NDIndex).
KOKKOS_FUNCTION vertex_points_t	getElementMeshVertexPoints (const indices_t &elementNDIndex) const
	Get all the global vertex points of an element (given by its NDIndex).

Public Attributes
UniformCartesian< T, Dim > &	mesh_m
	Member variables //////////////////////////////////////////////////.
ElementType	ref_element_m
const QuadratureType &	quadrature_m
Vector< size_t, Dim >	nr_m
Vector< double, Dim >	hr_m
Vector< double, Dim >	origin_m

Static Public Attributes
static constexpr unsigned	numElementDOFs = getNedelecNumElementDOFs(Dim, Order)
static constexpr unsigned	dim
static constexpr unsigned	order = Order
static constexpr unsigned	numElementVertices

Private Member Functions
FEMVector< T >	createFEMVector2d () const
	Implementation of the `NedelecSpace::createFEMVector` function for 2d.
FEMVector< T >	createFEMVector3d () const
	Implementation of the `NedelecSpace::createFEMVector` function for 3d.

Private Attributes
Kokkos::View< size_t * >	elementIndices
	Stores which elements (squares or cubes) belong to the current MPI rank.
Vector< point_t, 12 >	localDofPositions_m
	Stores the positions of the local Degrees of Freedoms on the reference elements.
Layout_t	layout_m
	The layout of the MPI ranks over the mesh.

Detailed Description

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>
class ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >

A class representing a Nedelec space for finite element methods on a structured, rectilinear grid.

Template Parameters

T	The floating point number type of the field values
Dim	The dimension of the mesh
Order	The order of the Nedelec space
QuadratureType	The type of the quadrature rule
FieldType	The type of field to use.

Definition at line 34 of file NedelecSpace.h.

Member Typedef Documentation

◆ AtomicViewType

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef detail::ViewType<T,1,Kokkos::MemoryTraits<Kokkos::Atomic>>::view_type ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::AtomicViewType

Definition at line 68 of file NedelecSpace.h.

◆ indices_list_t

typedef Vector<indices_t, numElementVertices> ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::indices_list_t

inherited

Definition at line 59 of file FiniteElementSpace.h.

◆ indices_t

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef FiniteElementSpace<T,Dim,numElementDOFs,ElementType,QuadratureType,FEMVector<T>,FEMVector<T>>::indices_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::indices_t

Definition at line 53 of file NedelecSpace.h.

◆ Layout_t

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef FieldLayout<Dim> ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::Layout_t

Definition at line 63 of file NedelecSpace.h.

◆ point_t

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef FiniteElementSpace<T,Dim,numElementDOFs,ElementType,QuadratureType,FEMVector<T>,FEMVector<T>>::point_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::point_t

Definition at line 57 of file NedelecSpace.h.

◆ vertex_indices_t

typedef Vector<size_t, numElementVertices> ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::vertex_indices_t

inherited

Definition at line 57 of file FiniteElementSpace.h.

◆ vertex_points_t

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef FiniteElementSpace<T,Dim,numElementDOFs,ElementType,QuadratureType,FEMVector<T>,FEMVector<T>>::vertex_points_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::vertex_points_t

Definition at line 60 of file NedelecSpace.h.

◆ ViewType

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

typedef detail::ViewType<T,1>::view_type ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::ViewType

Definition at line 66 of file NedelecSpace.h.

Constructor & Destructor Documentation

◆ NedelecSpace() [1/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::NedelecSpace	(	UniformCartesian< T, Dim > &	mesh,
		ElementType &	ref_element,
		const QuadratureType &	quadrature,
		const Layout_t &	layout )

Construct a new NedelecSpace object.

Parameters

mesh	Reference to the mesh
ref_element	Reference to the reference element
quadrature	Reference to the quadrature rule
layout	Reference to the field layout

Definition at line 9 of file NedelecSpace.hpp.

References Dim, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::FiniteElementSpace(), getNedelecNumElementDOFs(), and initializeElementIndices().

Referenced by evaluateLoadVector(), evaluateRefElementShapeFunction(), evaluateRefElementShapeFunctionCurl(), and reconstructToPoints().

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◆ NedelecSpace() [2/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::NedelecSpace	(	UniformCartesian< T, Dim > &	mesh,
		ElementType &	ref_element,
		const QuadratureType &	quadrature )

Construct a new NedelecSpace object (without layout) This constructor is made to work with the default constructor in FEMPoissonSolver.h such that it is compatible with alpine.

Parameters

mesh	Reference to the mesh
ref_element	Reference to the reference element
quadrature	Reference to the quadrature rule

Definition at line 26 of file NedelecSpace.hpp.

References Dim, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::FiniteElementSpace(), and getNedelecNumElementDOFs().

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Member Function Documentation

◆ computeError()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

template<typename F>

T ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::computeError	(	const FEMVector< T > &	u_h,
		const F &	u_sol ) const

Error norm computations ///////////////////////////////////////////.

Given the Nedelec space DoF coefficients and an analytical solution computes the L2 norm error.

Parameters

u_h	The basis function coefficients obtained via FEM.
u_sol	The analytical solution (functor)

Returns: error - The error ||u_h - u_sol||_L2

Definition at line 901 of file NedelecSpace.hpp.

References ippl::Comm, ippl::Vector< T, Dim >::dot(), elementIndices, evaluateRefElementShapeFunction(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementMeshVertexPoints(), getFEMVectorDOFIndices(), getGlobalDOFIndices(), ippl::FEMVector< T >::getView(), layout_m, numElementDOFs, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::quadrature_m, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::ref_element_m.

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◆ createFEMVector()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::createFEMVector ( ) const

FEMVector conversion and creation//////////////////////////////////.

FEMVector conversion //////////////////////////////////////////////.

Creates and empty FEMVector.

Creates and empty FEMVector which corresponds to the domain this MPI rank owns (according to the ippl layout created for this mesh). To this extend it will also setup all the information needed to exchange halo cells.

Returns: An empty FEMVector for this domain.

Definition at line 804 of file NedelecSpace.hpp.

References createFEMVector2d(), createFEMVector3d(), and Dim.

Referenced by evaluateLoadVector(), and evaluateLoadVectorFunctor().

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◆ createFEMVector2d()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::createFEMVector2d ( ) const

private

Implementation of the NedelecSpace::createFEMVector function for 2d.

Definition at line 1169 of file NedelecSpace.hpp.

References ippl::Comm, ippl::NDIndex< Dim >::first(), getFEMVectorDOFIndices(), ippl::NDIndex< Dim >::last(), and layout_m.

Referenced by createFEMVector().

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◆ createFEMVector3d()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::createFEMVector3d ( ) const

private

Implementation of the NedelecSpace::createFEMVector function for 3d.

Definition at line 1417 of file NedelecSpace.hpp.

References ippl::Comm, ippl::NDIndex< Dim >::first(), getFEMVectorDOFIndices(), ippl::NDIndex< Dim >::last(), and layout_m.

Referenced by createFEMVector().

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◆ evaluateAx()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

template<typename F>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateAx	(	FEMVector< T > &	x,
		F &	evalFunction ) const

Assembly operations ///////////////////////////////////////////////.

Assemble the left stiffness matrix A of the system Ax = b

Parameters

x	The vector which we want to multiply

Returns: The vector containing A*x

Definition at line 364 of file NedelecSpace.hpp.

References elementIndices, evaluateRefElementShapeFunction(), evaluateRefElementShapeFunctionCurl(), getFEMVectorDOFIndices(), getGlobalDOFIndices(), IpplTimings::getTimer(), ippl::FEMVector< T >::getView(), isDOFOnBoundary(), layout_m, numElementDOFs, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::quadrature_m, IpplTimings::startTimer(), and IpplTimings::stopTimer().

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◆ evaluateLoadVector()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVector ( const FEMVector< point_t > & f ) const

Assemble the load vector b of the system Ax = b, given a field of the right hand side defined at the Nédélec DOF positions. If a functor instead of a field should be used, use the function NedelecSpace::evaluateLoadVectorFunctor.

Parameters

f	The source field defined at the Nédélec degrees fo freedom.

Returns: The resulting rhs b of the Galerkin discretization.

Definition at line 483 of file NedelecSpace.hpp.

References createFEMVector(), Dim, ippl::Vector< T, Dim >::dot(), elementIndices, evaluateRefElementShapeFunction(), getFEMVectorDOFIndices(), getGlobalDOFIndices(), getLocalDOFPosition(), ippl::FEMVector< T >::getView(), isDOFOnBoundary(), layout_m, NedelecSpace(), numElementDOFs, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::quadrature_m, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::ref_element_m.

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◆ evaluateLoadVectorFunctor()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

template<typename F>

FEMVector< T > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVectorFunctor ( const F & f ) const

Assemble the load vector b of the system Ax = b, given a functional of the rhs. If a field instead of a functor should be used, use the function NedelecSpace::evaluateLoadVector.

Parameters

f	The source function, which can be evaluated at arbitrary points.

Template Parameters

F	The functor type.

Returns: The resulting rhs b of the Galerkin discretization.

Definition at line 599 of file NedelecSpace.hpp.

References createFEMVector(), ippl::Vector< T, Dim >::dot(), elementIndices, evaluateRefElementShapeFunction(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementMeshVertexPoints(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementNDIndex(), getFEMVectorDOFIndices(), getGlobalDOFIndices(), ippl::FEMVector< T >::getView(), isDOFOnBoundary(), layout_m, numElementDOFs, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::quadrature_m, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::ref_element_m.

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◆ evaluateRefElementShapeFunction()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::point_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateRefElementShapeFunction	(	const size_t &	localDOF,
		const point_t &	localPoint ) const

Basis functions and gradients /////////////////////////////////////.

Evaluate the shape function of a local degree of freedom at a given point in the reference element

Parameters

localDOF	size_t - The local degree of freedom index
localPoint	point_t (Vector<T, Dim>) - The point in the reference element

Returns: T - The value of the shape function at the given point

Definition at line 695 of file NedelecSpace.hpp.

References Dim, NedelecSpace(), numElementDOFs, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::ref_element_m.

Referenced by computeError(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), and reconstructToPoints().

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◆ evaluateRefElementShapeFunctionCurl()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::point_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateRefElementShapeFunctionCurl	(	const size_t &	localDOF,
		const point_t &	localPoint ) const

Evaluate the curl of the shape function of a local degree of of freedom at ta given point in the reference element.

Parameters

localDOF	size_t - The local degree of freedom index
localPoint	point_t (Vector<T, Dim>) - The point in the reference element

Returns: point_t (Vector<T, Dim>) - The curl of the shape function at the given point

Definition at line 750 of file NedelecSpace.hpp.

References Dim, and NedelecSpace().

Referenced by evaluateAx().

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◆ getBoundarySide()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION int ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getBoundarySide ( const size_t & dofIdx ) const

Returns which side the boundary is on.

This function takes as input the global index of a DoF and then returns on which side of the domain boundary it is on, in 2d that would be either south, north, west, east and in 3d space and ground is added. The mapping is as follows: 0 = south 1 = west 2 = north 3 = east 4 = ground 5 = space -1 = not on a boundary.

Parameters

dofIdx the global DoF index for which the boundary side should be retrieved.

Returns: Which boundary side the DoF is on or -1 if on no boundary.

Definition at line 1080 of file NedelecSpace.hpp.

References Dim, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m.

◆ getElementIndex()

KOKKOS_FUNCTION size_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementIndex ( const indices_t & ndindex ) const

inherited

Get the global index of a mesh element given the NDIndex.

Parameters

ndindex indices_t (Vector<size_t, Dim>) - vector of indices for each direction

Returns: size_t - the index of the element

Definition at line 135 of file FiniteElementSpace.hpp.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::initializeElementIndices().

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◆ getElementMeshVertexIndices()

KOKKOS_FUNCTION FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::vertex_indices_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementMeshVertexIndices ( const indices_t & elementNDIndex ) const

inherited

Get all the global vertex indices of an element (given by its NDIndex).

Parameters

elementNDIndex The NDIndex of the element

Returns: vertex_indices_t (Vector<size_t, numElementVertices>) - vector of vertex indices

Definition at line 146 of file FiniteElementSpace.hpp.

◆ getElementMeshVertexNDIndices()

KOKKOS_FUNCTION FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::indices_list_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementMeshVertexNDIndices ( const indices_t & elementNDIndex ) const

inherited

Get all the NDIndices of the vertices of an element (given by its NDIndex).

Parameters

elementNDIndex The NDIndex of the element

Returns: indices_list_t (Vector<Vector<size_t, Dim>, numElementVertices>) - vector of vertex NDIndices

Definition at line 157 of file FiniteElementSpace.hpp.

◆ getElementMeshVertexPoints()

KOKKOS_FUNCTION FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::vertex_points_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementMeshVertexPoints ( const indices_t & elementNDIndex ) const

inherited

Get all the global vertex points of an element (given by its NDIndex).

Parameters

elementNDIndex The NDIndex of the element

Returns: vertex_points_t (Vector<Vector<T, Dim>, numElementVertices>) -

Definition at line 167 of file FiniteElementSpace.hpp.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::computeError(), and ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVectorFunctor().

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◆ getElementNDIndex()

KOKKOS_FUNCTION FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::indices_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementNDIndex ( const size_t & elementIndex ) const

inherited

Get the NDIndex (vector of indices for each dimension) of a mesh element.

Parameters

elementIndex indices_t (Vector<size_t, Dim>) - The index of the element

Returns: indices_t (Vector<size_t, Dim>) - vector of indices for each dimension

Definition at line 126 of file FiniteElementSpace.hpp.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVectorFunctor(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getFEMVectorDOFIndices(), and ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getGlobalDOFIndices().

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◆ getFEMVectorDOFIndices() [1/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION Vector< size_t, NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numElementDOFs > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getFEMVectorDOFIndices	(	const size_t &	elementIndex,
		NDIndex< Dim >	ldom ) const

Get the DOF indices (vector of indices) corresponding to the position inside the FEMVector of an element.

Parameters

elementIndex size_t - The index of the element

Returns: Vector<size_t, NumElementDOFs> - The DOF indices

Definition at line 335 of file NedelecSpace.hpp.

References ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementNDIndex(), and getFEMVectorDOFIndices().

Referenced by computeError(), createFEMVector2d(), createFEMVector3d(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), getFEMVectorDOFIndices(), and reconstructToPoints().

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◆ getFEMVectorDOFIndices() [2/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION Vector< size_t, numElementDOFs > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getFEMVectorDOFIndices	(	indices_t	elementIndex,
		NDIndex< Dim >	ldom ) const

Get the DOF indices (vector of indices) corresponding to the position inside the FEMVector of an element.

Parameters

elementIndex indices_t - The index of the element

Returns: Vector<size_t, NumElementDOFs> - The DOF indices

◆ getGlobalDOFIndex()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION size_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getGlobalDOFIndex	(	const size_t &	elementIndex,
		const size_t &	localDOFIndex ) const

overridevirtual

Get the global DOF index from the element index and local DOF.

Parameters

elementIndex	size_t - The index of the element
localDOFIndex	size_t - The local DOF index

Returns: size_t - The global DOF index

Implements ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >.

Definition at line 180 of file NedelecSpace.hpp.

References getGlobalDOFIndices().

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◆ getGlobalDOFIndices() [1/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION Vector< size_t, numElementDOFs > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getGlobalDOFIndices ( const indices_t & elementIndex ) const

Get the global DOF indices (vector of global DOF indices) of an element.

Parameters

elementIndex indices_t - The index of the element

Returns: Vector<size_t, NumElementDOFs> - The global DOF indices

◆ getGlobalDOFIndices() [2/2]

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION Vector< size_t, NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numElementDOFs > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getGlobalDOFIndices ( const size_t & elementIndex ) const

overridevirtual

Get the global DOF indices (vector of global DOF indices) of an element.

Parameters

elementIndex size_t - The index of the element

Returns: Vector<size_t, NumElementDOFs> - The global DOF indices

Implements ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >.

Definition at line 259 of file NedelecSpace.hpp.

References ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementNDIndex(), and getGlobalDOFIndices().

Referenced by computeError(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), getGlobalDOFIndex(), getGlobalDOFIndices(), and getLocalDOFIndex().

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◆ getLocalDOFIndex()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION size_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getLocalDOFIndex	(	const size_t &	elementIndex,
		const size_t &	globalDOFIndex ) const

overridevirtual

Get the elements local DOF from the element index and global DOF index.

Parameters

elementIndex	size_t - The index of the element
globalDOFIndex	size_t - The global DOF index

Returns: size_t - The local DOF index

Implements ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >.

Definition at line 149 of file NedelecSpace.hpp.

References Dim, ippl::Vector< T, Dim >::dim, and getGlobalDOFIndices().

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◆ getLocalDOFIndices()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION Vector< size_t, NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numElementDOFs > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getLocalDOFIndices ( ) const

overridevirtual

Get the local DOF indices (vector of local DOF indices) They are independent of the specific element because it only depends on the reference element type.

Returns: Vector<size_t, NumElementDOFs> - The local DOF indices

Implements ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >.

Definition at line 193 of file NedelecSpace.hpp.

References numElementDOFs.

◆ getLocalDOFPosition()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::point_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getLocalDOFPosition ( size_t localDOFIndex ) const

Get the cartesion position of a local DOF in the reference element.

Given the local DOF index this function will return the cartesian position of this DOF with respect to the reference element.

Definition at line 347 of file NedelecSpace.hpp.

References localDofPositions_m.

Referenced by evaluateLoadVector().

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◆ getMeshVertexIndex()

KOKKOS_FUNCTION size_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getMeshVertexIndex ( const indices_t & vertex_nd_index ) const

inherited

Get the global index of a mesh vertex given its NDIndex.

Parameters

vertex_nd_index indices_t (Vector<size_t, Dim>) - The NDIndex of the vertex (vector of indices for each dimension).

Returns: size_t - unsigned integer index of the mesh vertex

Definition at line 117 of file FiniteElementSpace.hpp.

◆ getMeshVertexNDIndex()

KOKKOS_FUNCTION FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::indices_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getMeshVertexNDIndex ( const size_t & vertex_index ) const

inherited

Get the NDIndex of a mesh vertex.

Parameters

vertex_index size_t - The index of the vertex

Returns: indices_t (Vector<size_t, Dim>) - Returns the NDIndex (vector of indices for each dimension)

Definition at line 107 of file FiniteElementSpace.hpp.

◆ initialize()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

void ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::initialize	(	UniformCartesian< T, Dim > &	mesh,
		const Layout_t &	layout )

Initialize a NedelecSpace object created with the default constructor.

Parameters

mesh	Reference to the mesh
layout	Reference to the field layout

Definition at line 43 of file NedelecSpace.hpp.

References Dim, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::FiniteElementSpace(), getNedelecNumElementDOFs(), initializeElementIndices(), localDofPositions_m, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::setMesh().

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◆ initializeElementIndices()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

void ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::initializeElementIndices ( const Layout_t & layout )

Initialize a Kokkos view containing the element indices.

Definition at line 73 of file NedelecSpace.hpp.

References Dim, elementIndices, first(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::getElementIndex(), ippl::FieldLayout< Dim >::getLocalNDIndex(), layout_m, ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m, and ippl::NDIndex< Dim >::size().

Referenced by initialize(), and NedelecSpace().

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◆ isDOFOnBoundary()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION bool ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::isDOFOnBoundary ( const size_t & dofIdx ) const

Check if a DOF is on the boundary of the mesh.

This function takes as input the global index of a DoF and returns if this DoF is on. If one would like to know which boundary this is the function NedelecSpace::getBoundarySide can be used.

Parameters

dofIdx The global DoF index for which should be checked if it is on the boundary.

Returns: true - If the DOF is on the domain boundary; false - If the DOF is not on the domain boundary

Definition at line 992 of file NedelecSpace.hpp.

References Dim, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m.

Referenced by evaluateAx(), evaluateLoadVector(), and evaluateLoadVectorFunctor().

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◆ numElements()

KOKKOS_FUNCTION size_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::numElements ( ) const

inherited

Mesh and Element operations ///////////////////////////////////////.

Get the number of elements in the mesh of the space

Returns: size_t - unsigned integer number of elements

Definition at line 88 of file FiniteElementSpace.hpp.

◆ numElementsInDim()

KOKKOS_FUNCTION size_t ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::numElementsInDim ( const size_t & dim ) const

inherited

Get the number of elements in a given dimension.

Parameters

dim	size_t - representing the dimension

Returns: size_t - unsigned integer number of elements in the given dimension

Definition at line 97 of file FiniteElementSpace.hpp.

◆ numGlobalDOFs()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

KOKKOS_FUNCTION size_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numGlobalDOFs ( ) const

overridevirtual

Degree of Freedom operations //////////////////////////////////////.

Get the number of global degrees of freedom in the space

Returns: size_t - unsigned integer number of global degrees of freedom

Implements ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >.

Definition at line 130 of file NedelecSpace.hpp.

References Dim, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m.

◆ reconstructToPoints()

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

Kokkos::View< typename NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::point_t * > ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::reconstructToPoints	(	const Kokkos::View< point_t * > &	positions,
		const FEMVector< T > &	coef ) const

Reconstructs function values at arbitrary points in the mesh given the Nedelec DOF coefficients.

This function can be used to retrieve the values of a solution function at arbitrary points inside of the mesh given the Nedelec DOF coefficients which solved the problem using FEM.

Note: Currently the function is able to handle both cases, where we have that positions only contains positions which are inside of local domain of this MPI rank (i.e. each rank gets its own unique position ) and where positions contains the positions of all ranks (i.e. positions is the same for all ranks). If in the future it can be guaranteed, that each rank will get its own positions then certain parts of the function implementation can be removed. Instructions for this are given in the implementation itself.

Parameters

positions	The points at which the function should be evaluated. A `Kokkos::View` which stores in each element a 2D/3D point.
coef	The basis function coefficients obtained via FEM.

Returns: The function evaluated at the given points, stored inside of Kokkos::View where each element corresponts to the function value at the point described by the same element inside of positions.

Definition at line 819 of file NedelecSpace.hpp.

References Dim, evaluateRefElementShapeFunction(), getFEMVectorDOFIndices(), ippl::FEMVector< T >::getView(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::hr_m, ippl::NDIndex< Dim >::last(), layout_m, NedelecSpace(), ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m, numElementDOFs, and ippl::FiniteElementSpace< T, Dim, getNedelecNumElementDOFs(Dim, Order), ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::origin_m.

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◆ setMesh()

void ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::setMesh ( UniformCartesian< T, Dim > & mesh )

inherited

Definition at line 77 of file FiniteElementSpace.hpp.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::initialize().

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Member Data Documentation

◆ dim

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

unsigned ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::dim

staticconstexpr

Initial value:

Definition at line 41 of file NedelecSpace.h.

◆ elementIndices

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

Kokkos::View<size_t*> ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::elementIndices

private

Stores which elements (squares or cubes) belong to the current MPI rank.

Definition at line 407 of file NedelecSpace.h.

Referenced by computeError(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), and initializeElementIndices().

◆ hr_m

Vector<double, Dim> ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::hr_m

inherited

Definition at line 231 of file FiniteElementSpace.h.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::reconstructToPoints().

◆ layout_m

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

Layout_t ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::layout_m

private

The layout of the MPI ranks over the mesh.

Standart ippl layout which dictates how the MPI ranks are layed out over the mesh. It is used in order to be able to create FEMVectors, retreive correct DOF indices and intitalize the elementIndices.

Definition at line 425 of file NedelecSpace.h.

Referenced by computeError(), createFEMVector2d(), createFEMVector3d(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), initializeElementIndices(), and reconstructToPoints().

◆ localDofPositions_m

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

Vector<point_t, 12> ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::localDofPositions_m

private

Stores the positions of the local Degrees of Freedoms on the reference elements.

We are saying that the local degree of freedom positions are simply the centers of the edges.

Definition at line 416 of file NedelecSpace.h.

Referenced by getLocalDOFPosition(), and initialize().

◆ mesh_m

UniformCartesian<T, Dim>& ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::mesh_m

inherited

Member variables //////////////////////////////////////////////////.

Definition at line 227 of file FiniteElementSpace.h.

◆ nr_m

Vector<size_t, Dim> ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::nr_m

inherited

Definition at line 230 of file FiniteElementSpace.h.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::getBoundarySide(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::initializeElementIndices(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::isDOFOnBoundary(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numGlobalDOFs(), and ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::reconstructToPoints().

◆ numElementDOFs

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

unsigned ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numElementDOFs = getNedelecNumElementDOFs(Dim, Order)

staticconstexpr

Definition at line 38 of file NedelecSpace.h.

Referenced by computeError(), evaluateAx(), evaluateLoadVector(), evaluateLoadVectorFunctor(), evaluateRefElementShapeFunction(), getLocalDOFIndices(), and reconstructToPoints().

◆ numElementVertices

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

unsigned ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::numElementVertices

staticconstexpr

Initial value:

Definition at line 48 of file NedelecSpace.h.

◆ order

template<typename T, unsigned Dim, unsigned Order, typename ElementType, typename QuadratureType, typename FieldType>

unsigned ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::order = Order

staticconstexpr

Definition at line 45 of file NedelecSpace.h.

◆ origin_m

Vector<double, Dim> ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::origin_m

inherited

Definition at line 232 of file FiniteElementSpace.h.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::reconstructToPoints().

◆ quadrature_m

const QuadratureType& ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::quadrature_m

inherited

Definition at line 229 of file FiniteElementSpace.h.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::computeError(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateAx(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVector(), and ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVectorFunctor().

◆ ref_element_m

ElementType ippl::FiniteElementSpace< T, Dim, NumElementDOFs, ElementType, QuadratureType, FEMVector< T >, FEMVector< T > >::ref_element_m

inherited

Definition at line 228 of file FiniteElementSpace.h.

Referenced by ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::computeError(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVector(), ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateLoadVectorFunctor(), and ippl::NedelecSpace< T, Dim, Order, ElementType, QuadratureType, FieldType >::evaluateRefElementShapeFunction().

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

Public Types

Public Member Functions

Public Attributes

Static Public Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ AtomicViewType

◆ indices_list_t

◆ indices_t

◆ Layout_t

◆ point_t

◆ vertex_indices_t

◆ vertex_points_t

◆ ViewType

Constructor & Destructor Documentation

◆ NedelecSpace() [1/2]

◆ NedelecSpace() [2/2]

Member Function Documentation

◆ computeError()

◆ createFEMVector()

◆ createFEMVector2d()

◆ createFEMVector3d()

◆ evaluateAx()

◆ evaluateLoadVector()

◆ evaluateLoadVectorFunctor()

◆ evaluateRefElementShapeFunction()

◆ evaluateRefElementShapeFunctionCurl()

◆ getBoundarySide()

◆ getElementIndex()

◆ getElementMeshVertexIndices()

◆ getElementMeshVertexNDIndices()

◆ getElementMeshVertexPoints()

◆ getElementNDIndex()

◆ getFEMVectorDOFIndices() [1/2]

◆ getFEMVectorDOFIndices() [2/2]

◆ getGlobalDOFIndex()

◆ getGlobalDOFIndices() [1/2]

◆ getGlobalDOFIndices() [2/2]

◆ getLocalDOFIndex()

◆ getLocalDOFIndices()

◆ getLocalDOFPosition()

◆ getMeshVertexIndex()

◆ getMeshVertexNDIndex()

◆ initialize()

◆ initializeElementIndices()

◆ isDOFOnBoundary()

◆ numElements()

◆ numElementsInDim()

◆ numGlobalDOFs()

◆ reconstructToPoints()

◆ setMesh()

Member Data Documentation

◆ dim

◆ elementIndices

◆ hr_m

◆ layout_m

◆ localDofPositions_m

◆ mesh_m

◆ nr_m

◆ numElementDOFs

◆ numElementVertices

◆ order

◆ origin_m

◆ quadrature_m

◆ ref_element_m