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

Inheritance diagram for PersistentTriangulation< dim, spacedim >:

Public Member Functions
	PersistentTriangulation (const Triangulation< dim, spacedim > &coarse_grid)

	PersistentTriangulation (const PersistentTriangulation< dim, spacedim > &old_tria)

virtual	~PersistentTriangulation () override=default

virtual void	execute_coarsening_and_refinement () override

void	restore ()

void	restore (const unsigned int step_no)

unsigned int	n_refinement_steps () const

virtual void	copy_triangulation (const Triangulation< dim, spacedim > &tria) override

virtual void	create_triangulation (const std::vector< Point< spacedim >> &vertices, const std::vector< CellData< dim >> &cells, const SubCellData &subcelldata) override

virtual void	create_triangulation (const TriangulationDescription::Description< dim, spacedim > &construction_data) override

virtual void	create_triangulation_compatibility (const std::vector< Point< spacedim >> &vertices, const std::vector< CellData< dim >> &cells, const SubCellData &subcelldata) override

virtual void	write_flags (std::ostream &out) const

virtual void	read_flags (std::istream &in)

virtual void	clear_flags ()

virtual std::size_t	memory_consumption () const override

Public Member Functions inherited from Triangulation< dim, dim >
	Triangulation (const MeshSmoothing smooth_grid=none, const bool check_for_distorted_cells=false)

	Triangulation (const Triangulation< dim, spacedim > &)=delete

	Triangulation (Triangulation< dim, spacedim > &&tria) noexcept

Triangulation &	operator= (Triangulation< dim, spacedim > &&tria) noexcept

virtual	~Triangulation () override

virtual void	clear ()

virtual void	set_mesh_smoothing (const MeshSmoothing mesh_smoothing)

virtual const MeshSmoothing &	get_mesh_smoothing () const

void	set_manifold (const types::manifold_id number, const Manifold< dim, spacedim > &manifold_object)

void	reset_manifold (const types::manifold_id manifold_number)

void	reset_all_manifolds ()

void	set_all_manifold_ids (const types::manifold_id number)

void	set_all_manifold_ids_on_boundary (const types::manifold_id number)

void	set_all_manifold_ids_on_boundary (const types::boundary_id b_id, const types::manifold_id number)

const Manifold< dim, spacedim > &	get_manifold (const types::manifold_id number) const

virtual std::vector< types::boundary_id >	get_boundary_ids () const

virtual std::vector< types::manifold_id >	get_manifold_ids () const

void	flip_all_direction_flags ()

bool	prepare_coarsening_and_refinement ()

bool	prepare_coarsening_and_refinement ()

bool	prepare_coarsening_and_refinement ()

unsigned int	n_quads () const

unsigned int	n_quads (const unsigned int) const

unsigned int	n_quads () const

unsigned int	n_quads (const unsigned int) const

unsigned int	n_quads () const

unsigned int	n_quads (const unsigned int) const

unsigned int	n_active_quads (const unsigned int) const

unsigned int	n_active_quads () const

unsigned int	n_active_quads (const unsigned int) const

unsigned int	n_active_quads () const

unsigned int	n_active_quads (const unsigned int) const

unsigned int	n_active_quads () const

unsigned int	n_hexs () const

unsigned int	n_hexs (const unsigned int level) const

unsigned int	n_active_hexs () const

unsigned int	n_active_hexs (const unsigned int level) const

unsigned int	max_adjacent_cells () const

unsigned int	max_adjacent_cells () const

unsigned int	max_adjacent_cells () const

unsigned int	n_raw_lines (const unsigned int level) const

unsigned int	n_raw_lines () const

unsigned int	n_raw_lines (const unsigned int level) const

unsigned int	n_raw_lines () const

unsigned int	n_raw_lines (const unsigned int level) const

unsigned int	n_raw_lines () const

unsigned int	n_raw_quads (const unsigned int) const

unsigned int	n_raw_quads (const unsigned int) const

unsigned int	n_raw_quads (const unsigned int) const

unsigned int	n_raw_quads (const unsigned int level) const

unsigned int	n_raw_quads (const unsigned int level) const

unsigned int	n_raw_quads (const unsigned int) const

unsigned int	n_raw_quads () const

unsigned int	n_raw_hexs (const unsigned int) const

unsigned int	n_raw_hexs (const unsigned int) const

unsigned int	n_raw_hexs (const unsigned int) const

unsigned int	n_raw_hexs (const unsigned int level) const

void	set_all_refine_flags ()

void	refine_global (const unsigned int times=1)

virtual bool	prepare_coarsening_and_refinement ()

void	save_refine_flags (std::ostream &out) const

void	save_refine_flags (std::vector< bool > &v) const

void	load_refine_flags (std::istream &in)

void	load_refine_flags (const std::vector< bool > &v)

void	save_coarsen_flags (std::ostream &out) const

void	save_coarsen_flags (std::vector< bool > &v) const

void	load_coarsen_flags (std::istream &out)

void	load_coarsen_flags (const std::vector< bool > &v)

bool	get_anisotropic_refinement_flag () const

void	clear_user_flags ()

void	save_user_flags (std::ostream &out) const

void	save_user_flags (std::vector< bool > &v) const

void	load_user_flags (std::istream &in)

void	load_user_flags (const std::vector< bool > &v)

void	clear_user_flags_line ()

void	save_user_flags_line (std::ostream &out) const

void	save_user_flags_line (std::vector< bool > &v) const

void	load_user_flags_line (std::istream &in)

void	load_user_flags_line (const std::vector< bool > &v)

void	clear_user_flags_quad ()

void	save_user_flags_quad (std::ostream &out) const

void	save_user_flags_quad (std::vector< bool > &v) const

void	load_user_flags_quad (std::istream &in)

void	load_user_flags_quad (const std::vector< bool > &v)

void	clear_user_flags_hex ()

void	save_user_flags_hex (std::ostream &out) const

void	save_user_flags_hex (std::vector< bool > &v) const

void	load_user_flags_hex (std::istream &in)

void	load_user_flags_hex (const std::vector< bool > &v)

void	clear_user_data ()

void	save_user_indices (std::vector< unsigned int > &v) const

void	load_user_indices (const std::vector< unsigned int > &v)

void	save_user_pointers (std::vector< void * > &v) const

void	load_user_pointers (const std::vector< void * > &v)

void	save_user_indices_line (std::vector< unsigned int > &v) const

void	load_user_indices_line (const std::vector< unsigned int > &v)

void	save_user_indices_quad (std::vector< unsigned int > &v) const

void	load_user_indices_quad (const std::vector< unsigned int > &v)

void	save_user_indices_hex (std::vector< unsigned int > &v) const

void	load_user_indices_hex (const std::vector< unsigned int > &v)

void	save_user_pointers_line (std::vector< void * > &v) const

void	load_user_pointers_line (const std::vector< void * > &v)

void	save_user_pointers_quad (std::vector< void * > &v) const

void	load_user_pointers_quad (const std::vector< void * > &v)

void	save_user_pointers_hex (std::vector< void * > &v) const

void	load_user_pointers_hex (const std::vector< void * > &v)

cell_iterator	begin (const unsigned int level=0) const

active_cell_iterator	begin_active (const unsigned int level=0) const

cell_iterator	end () const

cell_iterator	end (const unsigned int level) const

active_cell_iterator	end_active (const unsigned int level) const

cell_iterator	last () const

active_cell_iterator	last_active () const

IteratorRange< cell_iterator >	cell_iterators () const

IteratorRange< active_cell_iterator >	active_cell_iterators () const

IteratorRange< cell_iterator >	cell_iterators_on_level (const unsigned int level) const

IteratorRange< active_cell_iterator >	active_cell_iterators_on_level (const unsigned int level) const

face_iterator	begin_face () const

active_face_iterator	begin_active_face () const

face_iterator	end_face () const

IteratorRange< active_face_iterator >	active_face_iterators () const

vertex_iterator	begin_vertex () const

active_vertex_iterator	begin_active_vertex () const

vertex_iterator	end_vertex () const

unsigned int	n_lines () const

unsigned int	n_lines (const unsigned int level) const

unsigned int	n_active_lines () const

unsigned int	n_active_lines (const unsigned int level) const

unsigned int	n_quads () const

unsigned int	n_quads (const unsigned int level) const

unsigned int	n_active_quads () const

unsigned int	n_active_quads (const unsigned int level) const

unsigned int	n_hexs () const

unsigned int	n_hexs (const unsigned int level) const

unsigned int	n_active_hexs () const

unsigned int	n_active_hexs (const unsigned int level) const

unsigned int	n_cells () const

unsigned int	n_cells (const unsigned int level) const

unsigned int	n_active_cells () const

unsigned int	n_active_cells (const unsigned int level) const

virtual types::global_cell_index	n_global_active_cells () const

unsigned int	n_faces () const

unsigned int	n_active_faces () const

unsigned int	n_levels () const

virtual unsigned int	n_global_levels () const

virtual bool	has_hanging_nodes () const

unsigned int	n_vertices () const

const std::vector< Point< spacedim > > &	get_vertices () const

unsigned int	n_used_vertices () const

bool	vertex_used (const unsigned int index) const

const std::vector< bool > &	get_used_vertices () const

unsigned int	max_adjacent_cells () const

virtual types::subdomain_id	locally_owned_subdomain () const

Triangulation< dim, spacedim > &	get_triangulation ()

const Triangulation< dim, spacedim > &	get_triangulation () const

unsigned int	n_raw_lines () const

unsigned int	n_raw_lines (const unsigned int level) const

unsigned int	n_raw_quads () const

unsigned int	n_raw_quads (const unsigned int level) const

unsigned int	n_raw_hexs (const unsigned int level) const

unsigned int	n_raw_cells (const unsigned int level) const

unsigned int	n_raw_faces () const

virtual std::size_t	memory_consumption () const

void	save (Archive &ar, const unsigned int version) const

void	load (Archive &ar, const unsigned int version)

virtual void	add_periodicity (const std::vector< GridTools::PeriodicFacePair< cell_iterator >> &)

const std::map< std::pair< cell_iterator, unsigned int >, std::pair< std::pair< cell_iterator, unsigned int >, std::bitset< 3 > > > &	get_periodic_face_map () const

void	serialize (Archive &archive, const unsigned int version)

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 (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

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

Static Public Member Functions
static ::ExceptionBase &	ExcTriaNotEmpty ()

static ::ExceptionBase &	ExcFlagsNotCleared ()

Static Public Member Functions inherited from Triangulation< dim, dim >
static ::ExceptionBase &	ExcInvalidLevel (int arg1, int arg2)

static ::ExceptionBase &	ExcTriangulationNotEmpty (int arg1, int arg2)

static ::ExceptionBase &	ExcGridReadError ()

static ::ExceptionBase &	ExcFacesHaveNoLevel ()

static ::ExceptionBase &	ExcEmptyLevel (int arg1)

static ::ExceptionBase &	ExcNonOrientableTriangulation ()

static ::ExceptionBase &	ExcBoundaryIdNotFound (types::boundary_id arg1)

static ::ExceptionBase &	ExcInconsistentCoarseningFlags ()

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)

Static Public Attributes
static const unsigned int	dimension = dim

static const unsigned int	spacedimension = spacedim

Static Public Attributes inherited from Triangulation< dim, dim >
static const unsigned int	dimension

static const unsigned int	space_dimension

Private Attributes
SmartPointer< const Triangulation< dim, spacedim >, PersistentTriangulation< dim, spacedim > >	coarse_grid

std::vector< std::vector< bool > >	refine_flags

std::vector< std::vector< bool > >	coarsen_flags

Additional Inherited Members
Public Types inherited from Triangulation< dim, dim >
enum	MeshSmoothing

using	cell_iterator = TriaIterator< CellAccessor< dim, spacedim > >

using	active_cell_iterator = TriaActiveIterator< CellAccessor< dim, spacedim > >

using	face_iterator = TriaIterator< TriaAccessor< dim - 1, dim, spacedim > >

using	active_face_iterator = TriaActiveIterator< TriaAccessor< dim - 1, dim, spacedim > >

using	vertex_iterator = TriaIterator<::TriaAccessor< 0, dim, spacedim > >

using	active_vertex_iterator = TriaActiveIterator<::TriaAccessor< 0, dim, spacedim > >

using	line_iterator = typename IteratorSelector::line_iterator

using	active_line_iterator = typename IteratorSelector::active_line_iterator

using	quad_iterator = typename IteratorSelector::quad_iterator

using	active_quad_iterator = typename IteratorSelector::active_quad_iterator

using	hex_iterator = typename IteratorSelector::hex_iterator

using	active_hex_iterator = typename IteratorSelector::active_hex_iterator

enum	CellStatus

Public Attributes inherited from Triangulation< dim, dim >
Signals	signals

Protected Member Functions inherited from Triangulation< dim, dim >
void	update_periodic_face_map ()

Static Protected Member Functions inherited from Triangulation< dim, dim >
static void	write_bool_vector (const unsigned int magic_number1, const std::vector< bool > &v, const unsigned int magic_number2, std::ostream &out)

static void	read_bool_vector (const unsigned int magic_number1, std::vector< bool > &v, const unsigned int magic_number2, std::istream &in)

Protected Attributes inherited from Triangulation< dim, dim >
MeshSmoothing	smooth_grid

Detailed Description

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

This class handles the history of a triangulation and can rebuild it after it was deleted some time before. Its main purpose is support for time- dependent problems where one frequently deletes a triangulation due to memory pressure and later wants to rebuild it; this class has all the information to rebuild it exactly as it was before including the mapping of cell numbers to the geometrical cells.

Basically, this is a drop-in replacement for the triangulation. Since it is derived from the Triangulation class, it shares all the functionality, but it overrides some virtual functions and adds some functions, too. The main change to the base class is that it overrides the execute_coarsening_and_refinement function, where the new version first stores all refinement and coarsening flags and only then calls the respective function of the base class. The stored flags may later be used to restore the grid just as it was before. Some other functions have been extended slightly as well, see their documentation for more information.

We note that since the triangulation is created in exactly the same state as it was before, other objects working on it should result in the same state as well. This holds in particular for the DoFHandler object, which will assign the same degrees of freedom to the original cells and the ones after reconstruction of the triangulation. You can therefore safely use data vectors computed on the original grid on the reconstructed grid as well.

Usage

You can use objects of this class almost in the same way as objects of the Triangulation class. One of the few differences is that you can only construct such an object by giving a coarse grid to the constructor. The coarse grid will be used to base the triangulation on, and therefore the lifetime of the coarse grid has to be longer than the lifetime of the object of this class.

Basically, usage looks like this:

Triangulation<dim> coarse_grid;
...                     // initialize coarse grid
 
PersistentTriangulation<dim> grid (coarse_grid);
 
for (...)
  {
                        // restore grid from coarse grid
                        // and stored refinement flags
    grid.restore ();
    ...                 // do something with the grid
 
    ...                 // flag some cells for refinement
                        // or coarsening
    grid.execute_coarsening_and_refinement ();
                        // actually refine grid and store
                        // the flags
 
    ...                 // so something more with the grid
 
    grid.clear ();      // delete the grid, but keep the
                        // refinement flags for later use
                        // in grid.restore() above
 
    ...                 // do something where the grid
                        // is not needed anymore, e.g.
                        // working with another grid
  };

Note that initially, the PersistentTriangulation object does not constitute a triangulation; it only becomes one after restore is first called. Note also that the execute_coarsening_and_refinement stores all necessary flags for later reconstruction using the restore function. Triangulation::clear() resets the underlying triangulation to a virgin state, but does not affect the stored refinement flags needed for later reconstruction and does also not touch the coarse grid which is used within restore().

Author: Wolfgang Bangerth, 1999

Definition at line 109 of file persistent_tria.h.

Constructor & Destructor Documentation

◆ PersistentTriangulation() [1/2]

template<int dim, int spacedim>

PersistentTriangulation< dim, spacedim >::PersistentTriangulation ( const Triangulation< dim, spacedim > & coarse_grid )

Build up the triangulation from the coarse grid in future. Copy smoothing flags, etc from that grid as well. Note that the initial state of the triangulation is empty, until restore_grid is called for the first time.

The coarse grid must persist until the end of this object, since it will be used upon reconstruction of the grid.

Definition at line 34 of file persistent_tria.cc.

◆ PersistentTriangulation() [2/2]

template<int dim, int spacedim>

PersistentTriangulation< dim, spacedim >::PersistentTriangulation ( const PersistentTriangulation< dim, spacedim > & old_tria )

Copy constructor. This operation is only allowed, if the triangulation underlying the object to be copied is presently empty. Refinement flags as well as the pointer to the coarse grid are copied, however.

Definition at line 42 of file persistent_tria.cc.

◆ ~PersistentTriangulation()

template<int dim, int spacedim = dim>

virtual PersistentTriangulation< dim, spacedim >::~PersistentTriangulation ( )

overridevirtualdefault

Destructor.

Member Function Documentation

◆ execute_coarsening_and_refinement()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::execute_coarsening_and_refinement

overridevirtual

Overloaded version of the same function in the base class which stores the refinement and coarsening flags for later reconstruction of the triangulation and after that calls the respective function of the base class.

Reimplemented from Triangulation< dim, dim >.

Definition at line 59 of file persistent_tria.cc.

◆ restore() [1/2]

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::restore

Restore the grid according to the saved data. For this, the coarse grid is copied and the grid is stepwise rebuilt using the saved flags.

Note that this function will result in an error if the underlying triangulation is not empty, i.e. it will only succeed if this object is newly created or the clear() function of the base class was called on it before.

Repeatedly calls the restore(unsigned int) function in a loop over all refinement steps.

Definition at line 78 of file persistent_tria.cc.

◆ restore() [2/2]

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::restore ( const unsigned int step_no )

Differential restore. Performs the step_noth local refinement and coarsening step. Step 0 stands for the copying of the coarse grid.

This function will only succeed if the triangulation is in just the state it were if restore would have been called from step=0...step_no-1 before.

Definition at line 90 of file persistent_tria.cc.

◆ n_refinement_steps()

template<int dim, int spacedim>

unsigned int PersistentTriangulation< dim, spacedim >::n_refinement_steps

Return the number of refinement and coarsening steps. This is given by the size of the refine_flags vector.

Definition at line 116 of file persistent_tria.cc.

◆ copy_triangulation()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::copy_triangulation ( const Triangulation< dim, spacedim > & tria )

overridevirtual

Overload this function to use tria as a new coarse grid. The present triangulation and all refinement and coarsening flags storing its history are deleted, and the state of the underlying triangulation is reset to be empty, until restore_grid is called the next time.

The coarse grid must persist until the end of this object, since it will be used upon reconstruction of the grid.

Reimplemented from Triangulation< dim, dim >.

Definition at line 125 of file persistent_tria.cc.

◆ create_triangulation() [1/2]

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::create_triangulation	(	const std::vector< Point< spacedim >> &	vertices,
		const std::vector< CellData< dim >> &	cells,
		const SubCellData &	subcelldata
	)

overridevirtual

Throw an error, since this function is not useful in the context of this class.

Reimplemented from Triangulation< dim, dim >.

Definition at line 138 of file persistent_tria.cc.

◆ create_triangulation() [2/2]

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::create_triangulation ( const TriangulationDescription::Description< dim, spacedim > & construction_data )

overridevirtual

Create a triangulation from the provided TriangulationDescription::Description.

Note: The namespace TriangulationDescription::Utilities contains functions to create TriangulationDescription::Description.

Parameters

construction_data The data needed for this process.

Reimplemented from Triangulation< dim, dim >.

Definition at line 150 of file persistent_tria.cc.

◆ create_triangulation_compatibility()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::create_triangulation_compatibility	(	const std::vector< Point< spacedim >> &	vertices,
		const std::vector< CellData< dim >> &	cells,
		const SubCellData &	subcelldata
	)

overridevirtual

An overload of the respective function of the base class.

Throw an error, since this function is not useful in the context of this class.

Reimplemented from Triangulation< dim, dim >.

Definition at line 162 of file persistent_tria.cc.

◆ write_flags()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::write_flags ( std::ostream & out ) const

virtual

Write all refine and coarsen flags to the ostream out.

Definition at line 174 of file persistent_tria.cc.

◆ read_flags()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::read_flags ( std::istream & in )

virtual

Reads all refine and coarsen flags that previously were written by write_flags(...). This is especially useful for rebuilding the triangulation after the end or breakdown of a program and its restart.

Definition at line 203 of file persistent_tria.cc.

◆ clear_flags()

template<int dim, int spacedim>

void PersistentTriangulation< dim, spacedim >::clear_flags

virtual

Clear all flags. Retains the same coarse grid.

Definition at line 241 of file persistent_tria.cc.

◆ memory_consumption()

template<int dim, int spacedim>

std::size_t PersistentTriangulation< dim, spacedim >::memory_consumption

overridevirtual

Determine an estimate for the memory consumption (in bytes) of this object.

Definition at line 251 of file persistent_tria.cc.

Member Data Documentation

◆ dimension

template<int dim, int spacedim>

const unsigned int PersistentTriangulation< dim, spacedim >::dimension = dim

static

Make the dimension available in function templates.

Definition at line 115 of file persistent_tria.h.

◆ spacedimension

template<int dim, int spacedim>

const unsigned int PersistentTriangulation< dim, spacedim >::spacedimension = spacedim

static

Definition at line 116 of file persistent_tria.h.

◆ coarse_grid

template<int dim, int spacedim = dim>

SmartPointer<const Triangulation<dim, spacedim>, PersistentTriangulation<dim, spacedim> > PersistentTriangulation< dim, spacedim >::coarse_grid

private

This grid shall be used as coarse grid.

Definition at line 269 of file persistent_tria.h.

◆ refine_flags

template<int dim, int spacedim = dim>

std::vector<std::vector<bool> > PersistentTriangulation< dim, spacedim >::refine_flags

private

Vectors holding the refinement and coarsening flags of the different sweeps on this time level. The vectors therefore hold the history of the grid.

Definition at line 276 of file persistent_tria.h.

◆ coarsen_flags

template<int dim, int spacedim = dim>

std::vector<std::vector<bool> > PersistentTriangulation< dim, spacedim >::coarsen_flags

private

refine_flags

Definition at line 281 of file persistent_tria.h.

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

include/deal.II/grid/persistent_tria.h
source/grid/persistent_tria.cc

Public Member Functions

Static Public Member Functions

Static Public Attributes

Private Attributes

Additional Inherited Members

Detailed Description

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

Usage

Constructor & Destructor Documentation

◆ PersistentTriangulation() [1/2]

◆ PersistentTriangulation() [2/2]

◆ ~PersistentTriangulation()

Member Function Documentation

◆ execute_coarsening_and_refinement()

◆ restore() [1/2]

◆ restore() [2/2]

◆ n_refinement_steps()

◆ copy_triangulation()

◆ create_triangulation() [1/2]

◆ create_triangulation() [2/2]

◆ create_triangulation_compatibility()

◆ write_flags()

◆ read_flags()

◆ clear_flags()

◆ memory_consumption()

Member Data Documentation

◆ dimension

◆ spacedimension

◆ coarse_grid

◆ refine_flags

◆ coarsen_flags

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