A 3D element map for a Parallelepiped. More...

#include <elementMaps3D.hh>

Inheritance diagram for concepts::MapParallelepiped3d:

Collaboration diagram for concepts::MapParallelepiped3d:

Public Member Functions
MapParallelepiped3d *	clone () const
	Returns a copy of the map.
std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Real	jacobian () const
	Returns the jacobian.
	MapParallelepiped3d (const MapParallelepiped3d &map)
	Copy constructor.
	MapParallelepiped3d (Real3d vtx0, Real3d vtx1, Real3d vtx2, Real3d vtx3)
	Constructor.
Real3d	operator() (Real x, Real y, Real z) const
	Returns a point in 3D mapped from the unit cube [0,1]³ onto the element in the original mesh.
Private Member Functions
void	operator= (const MapParallelepiped3d &)
	Private assignement operator.
Private Attributes
Real3d	B1_
Real3d	B2_
Real3d	B3_
Real3d	b_

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 292 of file elementMaps3D.hh.

Constructor & Destructor Documentation

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 $B = [(\mbox{vtx1} - \vec b) (\mbox{vtx2} - \vec b) (\mbox{vtx3} - \vec b)]$ .