#include <elementMaps3D.hh>

Inheritance diagram for concepts::MapParallelepiped3d:

Public Member Functions
	MapParallelepiped3d (Real3d vtx0, Real3d vtx1, Real3d vtx2, Real3d vtx3)

	MapParallelepiped3d (const MapParallelepiped3d &map)
	Copy constructor.

Real3d	operator() (Real x, Real y, Real z) const

Real	jacobian () const
	Returns the jacobian.

MapParallelepiped3d *	clone () const
	Returns a copy of the map.

std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

A 3D element map for a Parallelepiped. The reference element is the unit cube.

Given four corners the map is computed internally. The origin of the coordinate system is mapped to the first corner. The other three corners are the image of the points (1,0,0), (0,1,0) and (0,0,1).

Definition at line 495 of file elementMaps3D.hh.

Constructor & Destructor Documentation

◆ MapParallelepiped3d()

concepts::MapParallelepiped3d::MapParallelepiped3d	(	Real3d	vtx0,
		Real3d	vtx1,
		Real3d	vtx2,
		Real3d	vtx3
	)

Constructor. Takes four physical corners of the parallelepiped and computes the element map: $F_K : S \rightarrow K$ with $\vec x = F_K(\xi) = B \cdot \vec \xi + \vec b$ , where $\vec b = \mbox{vtx0}$ and $B = [(\mbox{vtx1} - \vec b) (\mbox{vtx2} - \vec b) (\mbox{vtx3} - \vec b)]$ .