MoReFEM: MoReFEM::RefGeomEltNS::ShapeFunctionNS::Hexahedron8 Struct Reference

Define Hexahedron8 shape functions and its derivative. More...

#include <Hexahedron8.hpp>

Inheritance diagram for MoReFEM::RefGeomEltNS::ShapeFunctionNS::Hexahedron8:

Collaboration diagram for MoReFEM::RefGeomEltNS::ShapeFunctionNS::Hexahedron8:

Public Types
enum	{ Nderivate_component_ = 3 , Nphi_ = 8 , Order = 1 }
	Convenient enum which encompass magic numbers for the type of geometric element implemented. More...

Static Public Member Functions
static const std::array< ShapeFunctionType, Nphi_ > &	ShapeFunctionList ()
	Shape functions.

static const std::array< ShapeFunctionType, Nphi_ *Nderivate_component_ > &	FirstDerivateShapeFunctionList ()
	First derivative of the shape functions.

static const std::array< ShapeFunctionType, Nphi_ Nderivate_component_ Nderivate_component_ > &	SecondDerivateShapeFunctionList ()
	Second derivative of the shape functions.

static double	ShapeFunction (LocalNodeNS::index_type local_node_index, const LocalCoords &local_coords)
	Shape function call.

static double	FirstDerivateShapeFunction (LocalNodeNS::index_type local_node_index, Advanced::ComponentNS::index_type component, const LocalCoords &local_coords)
	First derivate of the shape function call.

Detailed Description

Define Hexahedron8 shape functions and its derivative.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Convenient enum which encompass magic numbers for the type of geometric element implemented.

Member Function Documentation

◆ FirstDerivateShapeFunctionList()

static const std::array< ShapeFunctionType, Nphi_ *Nderivate_component_ > & MoReFEM::RefGeomEltNS::ShapeFunctionNS::Hexahedron8::FirstDerivateShapeFunctionList ( )

static

First derivative of the shape functions.

Ordering:

d(phi[0], r), d(phi[0], s)
d(phi[1], r), d(phi[1], s) etc...

Returns: The derivatives as an array of functions (ordering defined just above)

◆ SecondDerivateShapeFunctionList()

static const std::array< ShapeFunctionType, Nphi_ *Nderivate_component_ *Nderivate_component_ > & MoReFEM::RefGeomEltNS::ShapeFunctionNS::Hexahedron8::SecondDerivateShapeFunctionList ( )

static

Second derivative of the shape functions.

Ordering:

d2(phi[0], r, r), d2(phi[0], r, s)
d2(phi[0], s, r), d2(phi[0], s, s)
d2(phi[1], r, r), d2(phi[1], r, s) etc...

Returns: The derivatives as an array of functions (ordering defined just above)

◆ ShapeFunction()

static double MoReFEM::RefGeomEltNS::ShapeFunctionNS::Crtp::AccessShapeFunction< Hexahedron8 >::ShapeFunction	(	LocalNodeNS::index_type	local_node_index,
		const LocalCoords &	local_coords )

staticinherited

Shape function call.

Parameters

[in]	local_node_index	Index of the local node considered.
[in]	local_coords	Local coordinates at which the shape function is applied.

Returns: Shape function value at the local node considered.

◆ FirstDerivateShapeFunction()

static double MoReFEM::RefGeomEltNS::ShapeFunctionNS::Crtp::AccessShapeFunction< Hexahedron8 >::FirstDerivateShapeFunction	(	LocalNodeNS::index_type	local_node_index,
		Advanced::ComponentNS::index_type	component,
		const LocalCoords &	local_coords )