Gedim::MapTriangle Class Reference

#include <MapTriangle.hpp>

Classes
struct	MapTriangleData

Public Member Functions
	MapTriangle ()
	~MapTriangle ()
MapTriangleData	Compute (const Eigen::Matrix3d &vertices) const

Static Public Member Functions
static Eigen::MatrixXd	F (const MapTriangleData &mapData, const Eigen::MatrixXd &x)
static Eigen::MatrixXd	FInv (const MapTriangleData &mapData, const Eigen::MatrixXd &x)
static Eigen::MatrixXd	J (const MapTriangleData &mapData, const Eigen::MatrixXd &x)
static Eigen::VectorXd	DetJ (const MapTriangleData &mapData, const Eigen::MatrixXd &x)
static double	DetJ (const MapTriangleData &mapData)

Constructor & Destructor Documentation

MapTriangle()

Gedim::MapTriangle::MapTriangle ( )

inline

~MapTriangle()

Gedim::MapTriangle::~MapTriangle ( )

inline

Member Function Documentation

Compute()

MapTriangle::MapTriangleData Gedim::MapTriangle::Compute

(

const Eigen::Matrix3d &

vertices

)

const

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

Parameters

vertices

the triangle 2D to map vertices, size 3 x 3

Returns

the map data

DetJ() [1/2]

static double Gedim::MapTriangle::DetJ ( const MapTriangleData &  mapData )

inlinestatic

Compute the determinant of the jacobian matrix of the trasformation

Parameters

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

Returns

the determinant of Jacobian matrix

DetJ() [2/2]

static Eigen::VectorXd Gedim::MapTriangle::DetJ ( const MapTriangleData &  mapData, const Eigen::MatrixXd &  x  )

inlinestatic

Compute the determinant of the jacobian matrix of the trasformation

Parameters

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

Returns

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

F()

static Eigen::MatrixXd Gedim::MapTriangle::F ( const MapTriangleData &  mapData, const Eigen::MatrixXd &  x  )

inlinestatic

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

Parameters

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

Returns

the mapped polygon points, size 3 x numPoints

FInv()

static Eigen::MatrixXd Gedim::MapTriangle::FInv ( const MapTriangleData &  mapData, const Eigen::MatrixXd &  x  )

inlinestatic

Map from the polygon x to the triangle reference element [0,1]x[0,1] x_r = F^-1(x_r) = B^-1 * (x - b)

Parameters

mapData	the map data
x	points in polygon, size 3 x numPoints

Returns

the mapped reference points, size 3 x numPoints

J()

MatrixXd Gedim::MapTriangle::J ( const MapTriangleData &  mapData, const Eigen::MatrixXd &  x  )

static

Compute the jacobian matrix of the transformation F

Parameters

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

Returns

the B matrix for each points, size 3 x (3 * numPoints)

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

• MapTriangle.hpp
• MapTriangle.cpp