#include <mappingEdge3D.hh>

Inheritance diagram for concepts::CircleMappingEdge3d:

Public Member Functions
	CircleMappingEdge3d (const Real3d &vtx0, const Real3d &vtx1, const Real radius, const Real3d &center, const Real tol=1e6 *std::numeric_limits< double >::epsilon())

	CircleMappingEdge3d (const CircleMappingEdge3d &other)
	Copy Constructor.

	~CircleMappingEdge3d () override
	Destructor.

CircleMappingEdge3d *	clone () const override

CircleMappingEdge3d *	inverse () const override

Real3d	operator() (const Real t) const override

Real3d	derivative (const Real t, const uint n=1) const override

Real	getRadius () const

Real3d	getCenter () const

const Real3d &	vtx (uint i) const

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

Protected Attributes
std::array< Real3d, 2 >	vtx_
	Physical vertices $\{ F_K(0), F_K(1) \}$ .

Detailed Description

A 3D circular edge element map. Element parametrization:

$F_K (t) = c + r \frac{ F^{\text{lin}}_K (t) - c }{ \| F^{\text{lin}}_K (t) - c \|_2 },$

where $F^{\text{lin}}_K$ is the $\mathbb{Q}_1$ linear edge element interpolating between and , $c \in \mathbb{R}^3$ is the center of this edge and $r \in \mathbb{R}$ the radius. This corresponds to the shortest edge connecting to on the sphere .

Todo:: Use SphereData type instead of bare radius and center

Author: Lukas Drescher, 2014

Definition at line 115 of file mappingEdge3D.hh.

Constructor & Destructor Documentation

◆ CircleMappingEdge3d()

concepts::CircleMappingEdge3d::CircleMappingEdge3d	(	const Real3d &	vtx0,
		const Real3d &	vtx1,
		const Real	radius,
		const Real3d &	center,
		const Real	tol = `1e6 *std::numeric_limits< double >::epsilon()`
	)

Constructor.

Parameters

vtx0	physical coordinate of first vertex of the edge
vtx1	physical coordinate of second vertex of the edge
r	radius of the sphere on which the edge lies
center	center of the sphere on which the edge lies