MeshField::LinearTriangleCoordinateShape Struct Reference

Linear triangle shape functions for coordinate fields. 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 (Vector2 const &xi) const
	Evaluate shape functions at parametric coordinate. More...

Static Public Attributes
static const size_t	numNodes = 3
	Number of nodes.
static const size_t	meshEntDim = 2
	Mesh entity dimension (2D)
constexpr static Mesh_Topology	DofHolders [1] = {Vertex}
	DOFs located at vertices.
constexpr static size_t	Order = 1
	Polynomial order (linear)

Detailed Description

Linear triangle shape functions for coordinate fields.

Similar to LinearTriangleShape but specialized for coordinate field usage. Defines linear basis functions for a triangular element with 3 nodes. Parametric coordinate range: xi0, xi1 [0, 1]

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

Definition at line 230 of file MeshField_Shape.hpp.

Member Function Documentation

getNodeParametricCoords()

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

inline

Get parametric coordinates of element nodes.

Returns

Array of node coordinates: [node0_xi0, node0_xi1, node1_xi0, node1_xi1, node2_xi0, node2_xi1]

Definition at line 241 of file MeshField_Shape.hpp.

getValues()

KOKKOS_INLINE_FUNCTION Kokkos::Array<Real, numNodes> MeshField::LinearTriangleCoordinateShape::getValues ( Vector2 const &  xi ) const

inline

Evaluate shape functions at parametric coordinate.

Parameters

xi	Parametric coordinates (xi0, xi1) where xi0, xi1 [0,1]

Returns

Array of shape function values using barycentric coordinates [L0, L1, L2]

Definition at line 255 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