Line2D Struct Reference

Lagrange P2 Triangular Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P2 (linear) triangular element. More...

#include <Line2D.hpp>

Inherits ElementTypeBase< Line2D, Line2D_traits >.

Static Public Member Functions
Accessor functions
static const ElementTypeFaceConnectivity &	faces ()
static const ElementType &	face_type (const Uint face)
Computation functions
static Real	volume (const NodesT &nodes)
static void	compute_centroid (const NodesT &nodes, CoordsT &centroid)
static void	compute_normal (const NodesT &nodes, CoordsT &normal)
static void	compute_jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes, JacobianT &jacobian)
static Real	jacobian_determinant (const MappedCoordsT &mapped_coord, const NodesT &nodes)
Static Public Member Functions inherited from ElementTypeBase< Line2D, Line2D_traits >
static std::string	type_name ()
static void	compute_mapped_coordinate (const CoordsT &coord, const NodesT &nodes, MappedCoordsT &mapped_coord)
static Real	jacobian_determinant (const MappedCoordsT &mapped_coord, const NodesT &nodes)
static void	compute_jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)
static boost::enable_if< boost::is_same< MatrixType, JacobianT > >::type	compute_jacobian_if_enabled (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)
static boost::enable_if< boost::mpl::not_< boost::is_same< MatrixType, JacobianT > > >::type	compute_jacobian_if_enabled (const MappedCoordsT &mapped_coord, const NodesT &nodes, MatrixType &jacobian)
static void	compute_jacobian_adjoint (const MappedCoordsT &mapped_coord, const NodesT &nodes, JacobianT &result)
static Real	volume (const NodesT &nodes)
static Real	area (const NodesT &nodes)
static void	compute_normal (const NodesT &nodes, CoordsT &normal)
static void	compute_centroid (const NodesT &nodes, CoordsT &centroid)
static bool	is_coord_in_element (const CoordsT &coord, const NodesT &nodes)
static void	compute_plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation, CoordsT &result)
static MappedCoordsT	mapped_coordinate (const CoordsT &coord, const NodesT &nodes)
static JacobianT	jacobian (const MappedCoordsT &mapped_coord, const NodesT &nodes)
static CoordsT	plane_jacobian_normal (const MappedCoordsT &mapped_coord, const NodesT &nodes, const CoordRef orientation)

Additional Inherited Members
Public Types inherited from ElementTypeBase< Line2D, Line2D_traits >
typedef Line2D_traits::SF	SF
typedef Line2D_traits::SF::MappedCoordsT	MappedCoordsT
typedef Eigen::Matrix< Real, Line2D_traits::dimension, 1 >	CoordsT
typedef Eigen::Matrix< Real, nb_nodes, Line2D_traits::dimension >	NodesT
typedef Eigen::Matrix< Real, Line2D_traits::SF::dimensionality, Line2D_traits::dimension >	JacobianT
Static Public Attributes inherited from ElementTypeBase< Line2D, Line2D_traits >
static const GeoShape::Type	shape
static const Uint	order
static const Uint	dimensionality
static const Uint	dimension
static const Uint	nb_faces
static const Uint	nb_edges
static const Uint	nb_nodes

Detailed Description

Lagrange P2 Triangular Element type This class provides the lagrangian shape function describing the representation of the solution and/or the geometry in a P2 (linear) triangular element.

See also

ElementType for documentation of undocumented functions

Author

Willem Deconinck

Tiago Quintino

Bart Janssens

Definition at line 35 of file Line2D.hpp.

Member Function Documentation

void compute_centroid ( const NodesT &  nodes, CoordsT &  centroid  )

static

Definition at line 56 of file Line2D.cpp.

void compute_jacobian ( const MappedCoordsT &  mapped_coord, const NodesT &  nodes, JacobianT &  jacobian  )

static

Definition at line 73 of file Line2D.cpp.

void compute_normal ( const NodesT &  nodes, CoordsT &  normal  )

static

Bug:

this normal is a P1 approximation

Definition at line 63 of file Line2D.cpp.

const cf3::mesh::ElementType & face_type ( const Uint  face )

static

Definition at line 41 of file Line2D.cpp.

const cf3::mesh::ElementType::FaceConnectivity & faces ( )

static

Definition at line 27 of file Line2D.cpp.

Real jacobian_determinant ( const MappedCoordsT &  mapped_coord, const NodesT &  nodes  )

static

Definition at line 83 of file Line2D.cpp.

Real volume ( const NodesT &  nodes )

static

Definition at line 49 of file Line2D.cpp.

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

• cf3/mesh/LagrangeP2/Line2D.hpp
• cf3/mesh/LagrangeP2/Line2D.cpp