CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 > Class Template Reference

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

Inheritance diagram for CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >:

Public Member Functions
	CompositionManifold (const ChartManifold< dim1, intermediate_dim, chartdim > &F, const ChartManifold< dim2, spacedim, intermediate_dim > &G)
virtual std::unique_ptr< Manifold< dim, spacedim > >	clone () const override
virtual Point< chartdim >	pull_back (const Point< spacedim > &space_point) const
virtual Point< spacedim >	push_forward (const Point< chartdim > &chart_point) const
virtual DerivativeForm< 1, chartdim, spacedim >	push_forward_gradient (const Point< chartdim > &chart_point) const
Public Member Functions inherited from ChartManifold< dim, spacedim, chartdim >
	ChartManifold (const Tensor< 1, chartdim > &periodicity=Tensor< 1, chartdim >())
virtual	~ChartManifold () override=default
virtual Point< spacedim >	get_intermediate_point (const Point< spacedim > &p1, const Point< spacedim > &p2, const double w) const override
virtual Point< spacedim >	get_new_point (const ArrayView< const Point< spacedim >> &surrounding_points, const ArrayView< const double > &weights) const override
virtual void	get_new_points (const ArrayView< const Point< spacedim >> &surrounding_points, const Table< 2, double > &weights, ArrayView< Point< spacedim >> new_points) const override
virtual Tensor< 1, spacedim >	get_tangent_vector (const Point< spacedim > &x1, const Point< spacedim > &x2) const override
const Tensor< 1, chartdim > &	get_periodicity () const
Public Member Functions inherited from Manifold< dim, spacedim >
virtual	~Manifold ()=default
virtual Point< spacedim >	project_to_manifold (const ArrayView< const Point< spacedim >> &surrounding_points, const Point< spacedim > &candidate) const
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 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
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, FaceVertexNormals &face_vertex_normals) const
Public Member Functions inherited from Subscriptor
	Subscriptor ()
	Subscriptor (const Subscriptor &)
	Subscriptor (Subscriptor &&) noexcept
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
Subscriptor &	operator= (Subscriptor &&) noexcept
void	subscribe (const char *identifier=nullptr) const
void	unsubscribe (const char *identifier=nullptr) const
unsigned int	n_subscriptions () const
void	list_subscribers () const
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
SmartPointer< const ChartManifold< dim1, intermediate_dim, chartdim >, CompositionManifold< dim, spacedim, chartdim, dim1, dim2, intermediate_dim > >	F
SmartPointer< const ChartManifold< dim2, spacedim, intermediate_dim >, CompositionManifold< dim, spacedim, chartdim, dim1, dim2, intermediate_dim > >	G

Additional Inherited Members
Public Types inherited from Manifold< dim, spacedim >
typedef Tensor< 1, spacedim >	FaceVertexNormals[GeometryInfo< dim >::vertices_per_face]
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Detailed Description

template<int dim, int spacedim = dim, int chartdim = dim, int intermediate_dim = dim, int dim1 = dim, int dim2 = dim>
class CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >

CompositionManifold. Take two ChartManifold objects, and make their composition. The CompositionManifold object is a ChartManifold going from the chart of the first ChartManifold to the embedding space of the second ChartManifold. If the first ChartManifold is periodic, so is the resulting ChartManifold, with the same periodicity. Periodicity on the second ChartManifold is not allowed, and the constructor will throw an exception if the second Manifold is periodic.

This class only works for dim <= chartdim <= intermediate_spacedim <= spacedim. If you try to instantiate anything different, an Exception will be thrown in one of the ChartManifold classes that violates this condition.

Given the ChartManifold F and the ChartManifold G, this class represents the composition of G after F.

The template parameters have the following meaning:

Template Parameters

dim	The dimension of the resulting ChartManifold
spacedim	The space dimension of the resulting ChartManifold
chartdim	The chart dimension of the resulting ChartManifold
intermediate_dim	The space dimension of the first ChartManifold
dim1	The dimension of the first ChartManifold, which coincides also with the chart dimension of the second ChartManifold
dim2	The dimension of the second ChartManifold

Author

Luca Heltai, Timo Heister, 2016

Definition at line 69 of file composition_manifold.h.

Constructor & Destructor Documentation

CompositionManifold()

template<int dim, int spacedim, int chartdim, int intermediate_dim, int dim1, int dim2>

CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::CompositionManifold	(	const ChartManifold< dim1, intermediate_dim, chartdim > &	F,
		const ChartManifold< dim2, spacedim, intermediate_dim > &	G
	)

Construct the composition of the two given manifolds.

Definition at line 131 of file composition_manifold.h.

Member Function Documentation

clone()

template<int dim, int spacedim, int chartdim, int intermediate_dim, int dim1, int dim2>

std::unique_ptr< Manifold< dim, spacedim > > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::clone ( ) const

overridevirtual

Make a clone of this Manifold.

Implements Manifold< dim, spacedim >.

Definition at line 147 of file composition_manifold.h.

pull_back()

template<int dim, int spacedim, int chartdim, int intermediate_dim, int dim1, int dim2>

Point< chartdim > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::pull_back ( const Point< spacedim > &  space_point ) const

virtual

Pull back the given point in spacedim to the Euclidean chartdim dimensional space. This function calls the pull_back() function of G, and then the pull_back() function of F.

Implements ChartManifold< dim, spacedim, chartdim >.

Definition at line 156 of file composition_manifold.h.

push_forward()

template<int dim, int spacedim, int chartdim, int intermediate_dim, int dim1, int dim2>

Point< spacedim > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::push_forward ( const Point< chartdim > &  chart_point ) const

virtual

Push forward the chartdim dimensional point to a spacedim Euclidean point. The function calls first the push_forward() of F, and then the push_forward() of G.

Implements ChartManifold< dim, spacedim, chartdim >.

Definition at line 166 of file composition_manifold.h.

push_forward_gradient()

template<int dim, int spacedim, int chartdim, int intermediate_dim, int dim1, int dim2>

DerivativeForm< 1, chartdim, spacedim > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::push_forward_gradient ( const Point< chartdim > &  chart_point ) const

virtual

Return the derivative of the composition of G after F.

Reimplemented from ChartManifold< dim, spacedim, chartdim >.

Definition at line 176 of file composition_manifold.h.

Member Data Documentation

F

template<int dim, int spacedim = dim, int chartdim = dim, int intermediate_dim = dim, int dim1 = dim, int dim2 = dim>

SmartPointer<const ChartManifold<dim1, intermediate_dim, chartdim>, CompositionManifold<dim,spacedim,chartdim,dim1,dim2,intermediate_dim> > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::F

private

The first ChartManifold.

Definition at line 115 of file composition_manifold.h.

G

template<int dim, int spacedim = dim, int chartdim = dim, int intermediate_dim = dim, int dim1 = dim, int dim2 = dim>

SmartPointer<const ChartManifold<dim2, spacedim, intermediate_dim>, CompositionManifold<dim,spacedim,chartdim,dim1,dim2,intermediate_dim> > CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >::G

private

The second ChartManifold.

Definition at line 122 of file composition_manifold.h.

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

• deal.II/grid/composition_manifold.h