#include <EdgeElement.h>

Inheritance diagram for ippl::EdgeElement< T >:

Collaboration diagram for ippl::EdgeElement< T >:

Public Types
typedef Element1D< T, NumVertices >::point_t	point_t
typedef Element1D< T, NumVertices >::vertex_points_t	vertex_points_t

Public Member Functions
KOKKOS_FUNCTION vertex_points_t	getLocalVertices () const
	Function to return the coordinates of the vertices of the reference element.
KOKKOS_FUNCTION point_t	getTransformationJacobian (const vertex_points_t &global_vertices) const
	Function to return the Jacobian of the transformation matrix.
KOKKOS_FUNCTION point_t	getInverseTransformationJacobian (const vertex_points_t &global_vertices) const
	Function to return the inverse of the Jacobian of the transformation matrix.
KOKKOS_FUNCTION point_t	globalToLocal (const vertex_points_t &, const point_t &) const
	Transforms a point from global to local coordinates.
KOKKOS_FUNCTION point_t	localToGlobal (const vertex_points_t &global_vertices, const point_t &point) const
	Transforms a point from local to global coordinates.
KOKKOS_FUNCTION T	getDeterminantOfTransformationJacobian (const vertex_points_t &global_vertices) const
	Returns the determinant of the transformation Jacobian.
KOKKOS_FUNCTION point_t	getInverseTransposeTransformationJacobian (const vertex_points_t &global_vertices) const
	Returns the inverse of the transpose of the transformation Jacobian.
KOKKOS_FUNCTION bool	isPointInRefElement (const Vector< T, 1 > &point) const
	Returns whether a point in local coordinates ([0, 1]) is inside the reference element.

Static Public Attributes
static constexpr unsigned	NumVertices = 2
static constexpr unsigned	dim
static constexpr unsigned	numVertices

Detailed Description

template<typename T>
class ippl::EdgeElement< T >

Definition at line 13 of file EdgeElement.h.

Member Typedef Documentation

◆ point_t

template<typename T>

typedef Element1D<T,NumVertices>::point_t ippl::EdgeElement< T >::point_t

Definition at line 17 of file EdgeElement.h.

◆ vertex_points_t

template<typename T>

typedef Element1D<T,NumVertices>::vertex_points_t ippl::EdgeElement< T >::vertex_points_t

Definition at line 18 of file EdgeElement.h.

Member Function Documentation

◆ getDeterminantOfTransformationJacobian()

template<typename T>

KOKKOS_FUNCTION T ippl::EdgeElement< T >::getDeterminantOfTransformationJacobian ( const vertex_points_t & global_vertices ) const

Returns the determinant of the transformation Jacobian.

Parameters

global_vertices A vector of the vertex coordinates of the global element to transform to.

Returns: T - The determinant of the transformation Jacobian

Definition at line 62 of file EdgeElement.hpp.

References getTransformationJacobian().

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◆ getInverseTransformationJacobian()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::point_t ippl::EdgeElement< T >::getInverseTransformationJacobian ( const vertex_points_t & global_vertices ) const

Function to return the inverse of the Jacobian of the transformation matrix.

Parameters

global_vertices A vector of the vertex coordinates of the global element to transform to.

Returns: point_t (Vector<T, 1>) - A vector representing the diagonal elements of the inverse Jacobian matrix

Definition at line 27 of file EdgeElement.hpp.

Referenced by getInverseTransposeTransformationJacobian(), and globalToLocal().

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◆ getInverseTransposeTransformationJacobian()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::point_t ippl::EdgeElement< T >::getInverseTransposeTransformationJacobian ( const vertex_points_t & global_vertices ) const

Returns the inverse of the transpose of the transformation Jacobian.

Parameters

global_vertices A vector of the vertex coordinates of the global element to transform to.

Returns: point_t (Vector<T, 1>) - A vector representing the diagonal elements of the inverse transpose Jacobian matrix

Definition at line 77 of file EdgeElement.hpp.

References getInverseTransformationJacobian().

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◆ getLocalVertices()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::vertex_points_t ippl::EdgeElement< T >::getLocalVertices ( ) const

Function to return the coordinates of the vertices of the reference element.

Returns: vertex_points_t (Vector<Vector<T, 1>, 2>)

Definition at line 5 of file EdgeElement.hpp.

◆ getTransformationJacobian()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::point_t ippl::EdgeElement< T >::getTransformationJacobian ( const vertex_points_t & global_vertices ) const

Function to return the Jacobian of the transformation matrix.

Parameters

global_vertices A vector of the vertex coordinates of the global element to transform to.

Returns: point_t (Vector<T, 1>) - A vector representing the diagonal elements of the Jacobian matrix

Definition at line 16 of file EdgeElement.hpp.

Referenced by getDeterminantOfTransformationJacobian(), and localToGlobal().

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◆ globalToLocal()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::point_t ippl::EdgeElement< T >::globalToLocal	(	const vertex_points_t &	,
		const point_t &	) const

Transforms a point from global to local coordinates.

Parameters

global_vertices	A vector of the vertex indices of the global element to transform to in the mesh.
point	A point in global coordinates with respect to the global element.

Returns: point_t

Definition at line 37 of file EdgeElement.hpp.

References getInverseTransformationJacobian().

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◆ isPointInRefElement()

template<typename T>

KOKKOS_FUNCTION bool ippl::EdgeElement< T >::isPointInRefElement ( const Vector< T, 1 > & point ) const

Returns whether a point in local coordinates ([0, 1]) is inside the reference element.

Parameters

point A point in local coordinates with respect to the reference element.

Returns: boolean - Returns true when the point is inside the reference element or on the boundary. Returns false else

Definition at line 84 of file EdgeElement.hpp.

◆ localToGlobal()

template<typename T>

KOKKOS_FUNCTION EdgeElement< T >::point_t ippl::EdgeElement< T >::localToGlobal	(	const vertex_points_t &	global_vertices,
		const point_t &	point ) const

Transforms a point from local to global coordinates.

Parameters

global_vertices	A vector of the vertex indices of the global element to transform to in the mesh.
point	A point in local coordinates with respect to the reference element.

Equivalent to transforming a local point \(\hat{\boldsymbol{x}}\) on the local element \(\hat{K}\) to a point in the global coordinate system \(\boldsymbol{x}\) on \(K\) by applying the transformation \(\mathbf{\Phi}_K\)

\[\boldsymbol{x} = \mathbf{\Phi}_K(\hat{\boldsymbol{x}})\]

Returns: point_t

Definition at line 50 of file EdgeElement.hpp.

References getTransformationJacobian().

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Member Data Documentation

◆ dim

unsigned ippl::Element< T, Dim, NumVertices >::dim

staticconstexprinherited

Definition at line 19 of file Element.h.

◆ NumVertices

template<typename T>

unsigned ippl::EdgeElement< T >::NumVertices = 2

staticconstexpr

Definition at line 15 of file EdgeElement.h.

◆ numVertices

unsigned ippl::Element< T, Dim, NumVertices >::numVertices

staticconstexprinherited

Definition at line 20 of file Element.h.

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

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ point_t

◆ vertex_points_t

Member Function Documentation

◆ getDeterminantOfTransformationJacobian()

◆ getInverseTransformationJacobian()

◆ getInverseTransposeTransformationJacobian()

◆ getLocalVertices()

◆ getTransformationJacobian()

◆ globalToLocal()

◆ isPointInRefElement()

◆ localToGlobal()

Member Data Documentation

◆ dim

◆ NumVertices

◆ numVertices