Gedim::MapParallelepiped Class Reference

#include <MapParallelepiped.hpp>

Classes
struct	MapParallelepipedData

Public Member Functions
	MapParallelepiped (const Gedim::GeometryUtilities &geometryUtilities)
	~MapParallelepiped ()
MapParallelepipedData	Compute (const Eigen::MatrixXd &vertices, const std::vector< unsigned int > &coordinateSystem) const

Static Public Member Functions
static Eigen::Matrix3d	Q (const Eigen::Vector3d &firstVertex, const Eigen::Vector3d &secondVertex, const Eigen::Vector3d &thirdVertex, const Eigen::Vector3d &fourthVertex)
static Eigen::Vector3d	b (const Eigen::Vector3d &firstVertex)
static Eigen::MatrixXd	F (const MapParallelepipedData &mapData, const Eigen::MatrixXd &x)
static Eigen::MatrixXd	FInv (const MapParallelepipedData &mapData, const Eigen::MatrixXd &x)
static Eigen::MatrixXd	J (const MapParallelepipedData &mapData, const Eigen::MatrixXd &x)
static Eigen::VectorXd	DetJ (const MapParallelepipedData &mapData, const Eigen::MatrixXd &x)

Public Attributes
Eigen::MatrixXd	ReferenceVertices

Constructor & Destructor Documentation

MapParallelepiped()

Gedim::MapParallelepiped::MapParallelepiped

(

const Gedim::GeometryUtilities &

geometryUtilities

)

~MapParallelepiped()

Gedim::MapParallelepiped::~MapParallelepiped ( )

inline

Member Function Documentation

b()

static Eigen::Vector3d Gedim::MapParallelepiped::b ( const Eigen::Vector3d &  firstVertex )

inlinestatic

Matrix Q for linear map x = Q * x_r + b from reference Hexahedron [0,1]x[0,1]x[0,1] to Hexahedron with x points vertices the Hexahedron to map vertices, size 3 x 4 return the resulting value, size 3 x 3

Compute()

MapParallelepiped::MapParallelepipedData Gedim::MapParallelepiped::Compute	(	const Eigen::MatrixXd &	vertices,
		const std::vector< unsigned int > &	coordinateSystem
	)		const

Map from the hexahedron reference element [0,1]x[0,1]x[0,1]/2 to the polygon x = F(x_r) = Q * x_r + b

Parameters

vertices	the hexahedron to map vertices, size 3 x 4
edges	the hexahedron edges

Returns

the map data

DetJ()

VectorXd Gedim::MapParallelepiped::DetJ ( const MapParallelepipedData &  mapData, const Eigen::MatrixXd &  x  )

static

Compute the determinant of the jacobian matrix of the trasformation

Parameters

mapData	the map data computed
x	points in reference Hexahedron, size 3 x numPoints

Returns

the determinant of Jacobian matrix for each points, size 1 x numPoints

F()

static Eigen::MatrixXd Gedim::MapParallelepiped::F ( const MapParallelepipedData &  mapData, const Eigen::MatrixXd &  x  )

inlinestatic

Map from the Hexahedron reference element [0,1]x[0,1]x[0,1] to the polygon x = F(x_r) = Q * x_r + b

Parameters

mapData	the map data computed
x	points in reference Hexahedron, size 3 x numPoints

Returns

the mapped points, size 3 x numPoints

FInv()

static Eigen::MatrixXd Gedim::MapParallelepiped::FInv ( const MapParallelepipedData &  mapData, const Eigen::MatrixXd &  x  )

inlinestatic

J()

MatrixXd Gedim::MapParallelepiped::J ( const MapParallelepipedData &  mapData, const Eigen::MatrixXd &  x  )

static

Compute the jacobian matrix of the transformation F

Parameters

mapData	the map data computed
x	points in reference Hexahedron, size 3 x numPoints

Returns

the Q matrix for each points, size 2 x (2 * numPoints)

Q()

static Eigen::Matrix3d Gedim::MapParallelepiped::Q ( const Eigen::Vector3d &  firstVertex, const Eigen::Vector3d &  secondVertex, const Eigen::Vector3d &  thirdVertex, const Eigen::Vector3d &  fourthVertex  )

inlinestatic

Matrix Q for linear map x = Q * x_r + b from reference Hexahedron [0,1]x[0,1]x[0,1] to Hexahedron with x points vertices the Hexahedron to map vertices, size 3 x 4 return the resulting value, size 3 x 3

Member Data Documentation

ReferenceVertices

Eigen::MatrixXd Gedim::MapParallelepiped::ReferenceVertices

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

• MapParallelepiped.hpp
• MapParallelepiped.cpp