#include <deal.II/grid/tria_boundary.h>

Inheritance diagram for StraightBoundary< dim, spacedim >:

Public Member Functions
	StraightBoundary ()

virtual Point< spacedim >	get_new_point_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line) const

virtual Point< spacedim >	get_new_point_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad) const

virtual void	get_intermediate_points_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line, std::vector< Point< spacedim > > &points) const

virtual void	get_intermediate_points_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad, std::vector< Point< spacedim > > &points) const

virtual Tensor< 1, spacedim >	normal_vector (const typename Triangulation< dim, spacedim >::face_iterator &face, const Point< spacedim > &p) const

virtual void	get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, typename Boundary< dim, spacedim >::FaceVertexNormals &face_vertex_normals) const

virtual Point< spacedim >	project_to_surface (const typename Triangulation< dim, spacedim >::line_iterator &line, const Point< spacedim > &candidate) const

virtual Point< spacedim >	project_to_surface (const typename Triangulation< dim, spacedim >::quad_iterator &quad, const Point< spacedim > &candidate) const

virtual Point< spacedim >	project_to_surface (const typename Triangulation< dim, spacedim >::hex_iterator &hex, const Point< spacedim > &candidate) const

Public Member Functions inherited from Boundary< dim, spacedim >
virtual	~Boundary ()

void	get_intermediate_points_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face, std::vector< Point< spacedim > > &points) const

virtual void	get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, FaceVertexNormals &face_vertex_normals) const

Public Member Functions inherited from FlatManifold< dim, spacedim >
	FlatManifold (const Point< spacedim > periodicity=Point< spacedim >(), const double tolerance=1e-10)

virtual Point< spacedim >	get_new_point (const Quadrature< spacedim > &quad) const

virtual Point< spacedim >	project_to_manifold (const std::vector< Point< spacedim > > &points, const Point< spacedim > &candidate) const

Public Member Functions inherited from Manifold< dim, spacedim >
virtual	~Manifold ()

virtual Point< spacedim >	get_new_point_on_hex (const typename Triangulation< dim, spacedim >::hex_iterator &hex) const

Point< spacedim >	get_new_point_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face) const

Point< spacedim >	get_new_point_on_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

	DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects."<< "\"<< "(Additional information: "<< arg3<< ")\"<< "See the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "a lot more information on what this error means and "<< "how to fix programs in which it happens.")

	DeclException2 (ExcNoSubscriber, char , char ,<< "No subscriber with identifier <"<< arg2<< "> subscribes to this object of class "<< arg1<< ". Consequently, it cannot be unsubscribed.")

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Additional Inherited Members
Public Types inherited from Boundary< dim, spacedim >
typedef Tensor< 1, spacedim >	FaceVertexNormals[GeometryInfo< dim >::vertices_per_face]

Protected Member Functions inherited from Boundary< dim, spacedim >
const std::vector< Point< 1 > > &	get_line_support_points (const unsigned int n_intermediate_points) const

Detailed Description

template<int dim, int spacedim = dim>
class StraightBoundary< dim, spacedim >

Specialization of Boundary<dim,spacedim>, which places the new point right into the middle of the given points. The middle is defined as the arithmetic mean of the points.

This class does not really describe a boundary in the usual sense. By placing new points in the middle of old ones, it rather assumes that the boundary of the domain is given by the polygon/polyhedron defined by the boundary of the initial coarse triangulation.

Author: Wolfgang Bangerth, 1998, 2001, Ralf Hartmann, 2001

Definition at line 47 of file tria.h.

Constructor & Destructor Documentation

§ StraightBoundary()

template<int dim, int spacedim>

StraightBoundary< dim, spacedim >::StraightBoundary ( )

Default constructor. Some compilers require this for some reasons.

Definition at line 215 of file tria_boundary.cc.

Member Function Documentation

§ get_new_point_on_line()

template<int dim, int spacedim>

Point< spacedim > StraightBoundary< dim, spacedim >::get_new_point_on_line ( const typename Triangulation< dim, spacedim >::line_iterator & line ) const

virtual

Let the new point be the arithmetic mean of the two vertices of the line.

Refer to the general documentation of this class and the documentation of the base class for more information.

Reimplemented from Manifold< dim, spacedim >.

Reimplemented in HyperBallBoundary< dim, spacedim >, and CylinderBoundary< dim, spacedim >.

Definition at line 222 of file tria_boundary.cc.

§ get_new_point_on_quad()

template<int dim, int spacedim>

Point< spacedim > StraightBoundary< dim, spacedim >::get_new_point_on_quad ( const typename Triangulation< dim, spacedim >::quad_iterator & quad ) const

virtual

Let the new point be the arithmetic mean of the four vertices of this quad and the four midpoints of the lines, which are already created at the time of calling this function.

Refer to the general documentation of this class and the documentation of the base class for more information.

Reimplemented from Manifold< dim, spacedim >.

Reimplemented in HyperBallBoundary< dim, spacedim >, and CylinderBoundary< dim, spacedim >.

Definition at line 312 of file tria_boundary.cc.

§ get_intermediate_points_on_line()

template<int dim, int spacedim>

void StraightBoundary< dim, spacedim >::get_intermediate_points_on_line	(	const typename Triangulation< dim, spacedim >::line_iterator &	line,
		std::vector< Point< spacedim > > &	points
	)		const

virtual

Gives n=points.size() points that splits the StraightBoundary line into $n+1$ partitions of equal lengths.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from Boundary< dim, spacedim >.

Reimplemented in HyperBallBoundary< dim, spacedim >, and CylinderBoundary< dim, spacedim >.

Definition at line 341 of file tria_boundary.cc.

§ get_intermediate_points_on_quad()

template<int dim, int spacedim>

void StraightBoundary< dim, spacedim >::get_intermediate_points_on_quad	(	const typename Triangulation< dim, spacedim >::quad_iterator &	quad,
		std::vector< Point< spacedim > > &	points
	)		const

virtual

Gives n=points.size()=m*m points that splits the StraightBoundary quad into $(m+1)(m+1)$ subquads of equal size.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from Boundary< dim, spacedim >.

Reimplemented in HyperBallBoundary< dim, spacedim >, and CylinderBoundary< dim, spacedim >.

Definition at line 368 of file tria_boundary.cc.

§ normal_vector()

template<int dim, int spacedim>

Tensor< 1, spacedim > StraightBoundary< dim, spacedim >::normal_vector	(	const typename Triangulation< dim, spacedim >::face_iterator &	face,
		const Point< spacedim > &	p
	)		const

virtual

Implementation of the function declared in the base class.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from Boundary< dim, spacedim >.

Reimplemented in HyperBallBoundary< dim, spacedim >.

Definition at line 526 of file tria_boundary.cc.

§ get_normals_at_vertices()

template<int dim, int spacedim = dim>

virtual void StraightBoundary< dim, spacedim >::get_normals_at_vertices	(	const typename Triangulation< dim, spacedim >::face_iterator &	face,
		typename Boundary< dim, spacedim >::FaceVertexNormals &	face_vertex_normals
	)		const

virtual

Compute the normals to the boundary at the vertices of the given face.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented in HyperBallBoundary< dim, spacedim >, and CylinderBoundary< dim, spacedim >.

§ project_to_surface() [1/3]

template<int dim, int spacedim>

Point< spacedim > StraightBoundary< dim, spacedim >::project_to_surface	(	const typename Triangulation< dim, spacedim >::line_iterator &	line,
		const Point< spacedim > &	candidate
	)		const

virtual

Given a candidate point and a line segment characterized by the iterator, return a point that lies on the surface described by this object. This function is used in some mesh smoothing algorithms that try to move around points in order to improve the mesh quality but need to ensure that points that were on the boundary remain on the boundary.

The point returned is the projection of the candidate point onto the line through the two vertices of the given line iterator.

If spacedim==1, then the line represented by the line iterator is the entire space (i.e. it is a cell, not a part of the boundary), and the returned point equals the given input point.

Reimplemented from Boundary< dim, spacedim >.

Definition at line 710 of file tria_boundary.cc.

§ project_to_surface() [2/3]

template<int dim, int spacedim>

Point< spacedim > StraightBoundary< dim, spacedim >::project_to_surface	(	const typename Triangulation< dim, spacedim >::quad_iterator &	quad,
		const Point< spacedim > &	candidate
	)		const

virtual

Same function as above but for a point that is to be projected onto the area characterized by the given quad.

The point returned is the projection of the candidate point onto the bilinear surface spanned by the four vertices of the given quad iterator.

If spacedim<=2, then the surface represented by the quad iterator is the entire space (i.e. it is a cell, not a part of the boundary), and the returned point equals the given input point.

Reimplemented from Boundary< dim, spacedim >.

Definition at line 868 of file tria_boundary.cc.

§ project_to_surface() [3/3]

template<int dim, int spacedim>

Point< spacedim > StraightBoundary< dim, spacedim >::project_to_surface	(	const typename Triangulation< dim, spacedim >::hex_iterator &	hex,
		const Point< spacedim > &	candidate
	)		const

virtual

Same function as above but for a point that is to be projected onto the area characterized by the given quad.

The point returned is the projection of the candidate point onto the trilinear manifold spanned by the eight vertices of the given hex iterator.

If spacedim<=3, then the manifold represented by the hex iterator is the entire space (i.e. it is a cell, not a part of the boundary), and the returned point equals the given input point.

Reimplemented from Boundary< dim, spacedim >.

Definition at line 883 of file tria_boundary.cc.

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

deal.II/grid/tria.h
deal.II/grid/tria_boundary.h
/build/deal.ii-pdtiAo/deal.ii-8.4.2/source/grid/tria_boundary.cc

Public Member Functions

Additional Inherited Members

Detailed Description

template<int dim, int spacedim = dim> class StraightBoundary< dim, spacedim >

Constructor & Destructor Documentation

§ StraightBoundary()

Member Function Documentation

§ get_new_point_on_line()

§ get_new_point_on_quad()

§ get_intermediate_points_on_line()

§ get_intermediate_points_on_quad()

§ normal_vector()

§ get_normals_at_vertices()

§ project_to_surface() [1/3]

§ project_to_surface() [2/3]

§ project_to_surface() [3/3]

template<int dim, int spacedim = dim>
class StraightBoundary< dim, spacedim >