#include <elementMaps.hh>

Inheritance diagram for concepts::MapTriangle2d:

Public Member Functions
	MapTriangle2d (char *map, const Real scX, const Real scY)

	MapTriangle2d (const MapTriangle2d &map)
	Copy constructor.

virtual MapTriangle2d *	clone () const

virtual MapReal2d	jacobian (const Real x, const Real y) const
	Returns the Jacobian in a 2D linear map.

Real2d	operator() (const Real x, const Real y) const

virtual Real	jacobianDeterminant (const Real x, const Real y) const
	Returns determinant of the Jacobian.

virtual MapReal2d	jacobianInverse (const Real x, const Real y) const
	Returns the inverse of the Jacobian in a 2D linear map.

virtual bool	straight () const

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

Detailed Description

A 2D element map for a triangle. The map is specified by a formula. For easier construction of the element map, the parameter domain for the formula is a rectangle $[0,a] \times [0,b]$ . The left side of the rectangle is degenerated into a point using a Duffy transformation.

Definition at line 615 of file elementMaps.hh.

Constructor & Destructor Documentation

◆ MapTriangle2d()

concepts::MapTriangle2d::MapTriangle2d	(	char *	map,
		const Real	scX,
		const Real	scY
	)

Constructor. The values of scX and scY are only for the map, they are not needed by the user for mapping a point from the reference element onto the real element.

Parameters

map	The element map for this triangle as a string, x and y are the allowed variables, the first and the second component are separated by a comma.
scX	The range of x is [0, scX].
scY	The range of y is [0, scY].

Member Function Documentation

◆ clone()

virtual MapTriangle2d * concepts::MapTriangle2d::clone ( ) const

virtual

Creates a clone of itself and returns it. This clone function implements a virtual constructor (cf. Stroustrup p. 424).

Implements concepts::MappingTriangle2d.

◆ info()

virtual std::ostream & concepts::MapTriangle2d::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Map2d.

◆ jacobian()

virtual MapReal2d concepts::MapTriangle2d::jacobian	(	const Real	x,
		const Real	y
	)		const

virtual

Returns the Jacobian in a 2D linear map.

Implements concepts::MappingTriangle2d.

◆ jacobianDeterminant()

virtual Real concepts::MappingTriangle2d::jacobianDeterminant	(	const Real	x,
		const Real	y
	)		const

virtualinherited

Returns determinant of the Jacobian.

Returns true if the resulting triangle has curved edges. In this case the integration routines have to take into account that the Jacobian is changing. Otherwise, the Jacobian is a constant.

◆ operator()()

Real2d concepts::MapTriangle2d::operator()	(	const Real	x,
		const Real	y
	)		const

inlinevirtual

Application operator. Maps the point from the parameter domain $\{(\xi,\eta) : 0 \leq \eta \leq \xi \leq 1\}$ onto a triangle in the 2D physical space.