MeshField::LinearEdgeShape Struct Reference

Linear (P1) shape functions for 1D edge elements. More...

#include <MeshField_Shape.hpp>

Public Member Functions
KOKKOS_INLINE_FUNCTION Kokkos::Array< Real, numNodes *meshEntDim >	getNodeParametricCoords () const
	Get parametric coordinates of element nodes. More...
KOKKOS_INLINE_FUNCTION Kokkos::Array< Real, numNodes >	getValues (Vector1 const &xi) const
	Evaluate shape functions at parametric coordinate. More...
KOKKOS_INLINE_FUNCTION Kokkos::Array< Real, numNodes >	getLocalGradients (Vector1 const &) const
	Get gradients of shape functions in parametric coordinates @detail gradients are constant - ignoring parametric coord input. More...

Static Public Attributes
static const size_t	numNodes = 2
	Number of nodes (2 for linear edge)
static const size_t	meshEntDim = 1
	Mesh entity dimension (1D)
constexpr static Mesh_Topology	DofHolders [1] = {Vertex}
	DOFs located at vertices.
constexpr static size_t	Order = 1
	Polynomial order (linear)

Detailed Description

Linear (P1) shape functions for 1D edge elements.

Defines linear basis functions for a 1D edge element with 2 nodes. Parametric coordinate range: xi [-1, 1]

Node ordering:

• Node 0 at xi = -1
• Node 1 at xi = 1

Shape functions and ordering from: Zienkiewicz, Taylor, and Zhu 'The Finite Element Method: Its Basis and Fundamentals', 2013

Definition at line 99 of file MeshField_Shape.hpp.

Member Function Documentation

getLocalGradients()

KOKKOS_INLINE_FUNCTION Kokkos::Array<Real, numNodes> MeshField::LinearEdgeShape::getLocalGradients ( Vector1 const &  ) const

inline

Get gradients of shape functions in parametric coordinates @detail gradients are constant - ignoring parametric coord input.

Returns

Array of constant gradients [dN0/dxi, dN1/dxi]

Definition at line 138 of file MeshField_Shape.hpp.

getNodeParametricCoords()

KOKKOS_INLINE_FUNCTION Kokkos::Array<Real, numNodes * meshEntDim> MeshField::LinearEdgeShape::getNodeParametricCoords ( ) const

inline

Get parametric coordinates of element nodes.

Returns

Array of node coordinates: [node0_xi, node1_xi]

Definition at line 110 of file MeshField_Shape.hpp.

getValues()

KOKKOS_INLINE_FUNCTION Kokkos::Array<Real, numNodes> MeshField::LinearEdgeShape::getValues ( Vector1 const &  xi ) const

inline

Evaluate shape functions at parametric coordinate.

Parameters

xi	Parametric coordinate (xi [-1, 1])

Returns

Array of shape function values [N0(xi), N1(xi)]

Definition at line 123 of file MeshField_Shape.hpp.

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

• meshFields/src/MeshField_Shape.hpp