Reference documentation for deal.II version 9.3.3
hp::DoFHandler< dim, spacedim > Class Template Reference

#include <deal.II/hp/dof_handler.h>

Inheritance diagram for hp::DoFHandler< dim, spacedim >:
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## Public Types

using cell_accessor = typename ActiveSelector::CellAccessor

using face_accessor = typename ActiveSelector::FaceAccessor

using line_iterator = typename ActiveSelector::line_iterator

using active_line_iterator = typename ActiveSelector::active_line_iterator

using hex_iterator = typename ActiveSelector::hex_iterator

using active_hex_iterator = typename ActiveSelector::active_hex_iterator

using active_cell_iterator = typename ActiveSelector::active_cell_iterator

using cell_iterator = typename ActiveSelector::cell_iterator

using face_iterator = typename ActiveSelector::face_iterator

using active_face_iterator = typename ActiveSelector::active_face_iterator

using level_cell_accessor = typename LevelSelector::CellAccessor

using level_face_accessor = typename LevelSelector::FaceAccessor

using level_cell_iterator = typename LevelSelector::cell_iterator

using level_face_iterator = typename LevelSelector::face_iterator

using active_fe_index_type = unsigned short int

using offset_type = unsigned int

## Public Member Functions

void initialize (const Triangulation< dim, spacedim > &tria, const FiniteElement< dim, spacedim > &fe)

void initialize (const Triangulation< dim, spacedim > &tria, const hp::FECollection< dim, spacedim > &fe)

void set_fe (const FiniteElement< dim, spacedim > &fe)

void set_fe (const hp::FECollection< dim, spacedim > &fe)

void set_active_fe_indices (const std::vector< unsigned int > &active_fe_indices)

void get_active_fe_indices (std::vector< unsigned int > &active_fe_indices) const

void reinit (const Triangulation< dim, spacedim > &tria)

void distribute_dofs (const FiniteElement< dim, spacedim > &fe)

void distribute_dofs (const hp::FECollection< dim, spacedim > &fe)

void distribute_mg_dofs ()

bool has_hp_capabilities () const

bool has_level_dofs () const

bool has_active_dofs () const

void initialize_local_block_info ()

void clear ()

void renumber_dofs (const std::vector< types::global_dof_index > &new_numbers)

void renumber_dofs (const unsigned int level, const std::vector< types::global_dof_index > &new_numbers)

unsigned int max_couplings_between_dofs () const

unsigned int max_couplings_between_boundary_dofs () const

Cell iterator functions
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

level_cell_iterator begin_mg (const unsigned int level=0) const

level_cell_iterator end_mg (const unsigned int level) const

level_cell_iterator end_mg () const

## Static Public Attributes

static const unsigned int dimension

static const unsigned int space_dimension

static const unsigned int default_fe_index

static const unsigned int invalid_fe_index

static const active_fe_index_type invalid_active_fe_index

## Private Types

using ActiveSelector = ::internal::DoFHandlerImplementation::Iterators< dim, spacedim, false >

using LevelSelector = ::internal::DoFHandlerImplementation::Iterators< dim, spacedim, true >

## Subscriptor functionality

Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.

using map_value_type = decltype(counter_map)::value_type

using map_iterator = decltype(counter_map)::iterator

std::atomic< unsigned intcounter

std::map< std::string, unsigned intcounter_map

std::vector< std::atomic< bool > * > validity_pointers

const std::type_info * object_info

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

static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)

void check_no_subscribers () const noexcept

static std::mutex mutex

## Cell iterator functions returning ranges of iterators

BlockInfo block_info_object

bool hp_capability_enabled

SmartPointer< const Triangulation< dim, spacedim >, DoFHandler< dim, spacedim > > tria

hp::FECollection< dim, spacedim > fe_collection

std::unique_ptr<::internal::DoFHandlerImplementation::Policy::PolicyBase< dim, spacedim > > policy

::internal::DoFHandlerImplementation::NumberCache number_cache

std::vector<::internal::DoFHandlerImplementation::NumberCachemg_number_cache

std::vector< std::vector< types::global_dof_index > > cell_dof_cache_indices

std::vector< std::vector< offset_type > > cell_dof_cache_ptr

std::vector< std::array< std::vector< types::global_dof_index >, dim+1 > > object_dof_indices

std::vector< std::array< std::vector< offset_type >, dim+1 > > object_dof_ptr

std::array< std::vector< active_fe_index_type >, dim+1 > hp_object_fe_indices

std::array< std::vector< offset_type >, dim+1 > hp_object_fe_ptr

std::vector< std::vector< active_fe_index_type > > hp_cell_active_fe_indices

std::vector< std::vector< active_fe_index_type > > hp_cell_future_fe_indices

std::vector< MGVertexDoFs > mg_vertex_dofs

std::vector< std::unique_ptr<::internal::DoFHandlerImplementation::DoFLevel< dim > > > mg_levels

std::unique_ptr<::internal::DoFHandlerImplementation::DoFFaces< dim > > mg_faces

std::unique_ptr< ActiveFEIndexTransfer > active_fe_index_transfer

std::vector< boost::signals2::connection > tria_listeners

std::vector< boost::signals2::connection > tria_listeners_for_transfer

IteratorRange< cell_iteratorcell_iterators () const

IteratorRange< active_cell_iteratoractive_cell_iterators () const

IteratorRange< level_cell_iteratormg_cell_iterators () const

IteratorRange< cell_iteratorcell_iterators_on_level (const unsigned int level) const

IteratorRange< active_cell_iteratoractive_cell_iterators_on_level (const unsigned int level) const

IteratorRange< level_cell_iteratormg_cell_iterators_on_level (const unsigned int level) const

types::global_dof_index n_dofs () const

types::global_dof_index n_dofs (const unsigned int level) const

types::global_dof_index n_boundary_dofs () const

types::global_dof_index n_boundary_dofs (const std::map< types::boundary_id, const Function< spacedim, number > * > &boundary_ids) const

types::global_dof_index n_boundary_dofs (const std::set< types::boundary_id > &boundary_ids) const

const BlockInfoblock_info () const

types::global_dof_index n_locally_owned_dofs () const

const IndexSetlocally_owned_dofs () const

const IndexSetlocally_owned_mg_dofs (const unsigned int level) const

const std::vector< IndexSet > & locally_owned_dofs_per_processor () const

const std::vector< types::global_dof_index > & n_locally_owned_dofs_per_processor () const

const std::vector< IndexSet > & locally_owned_mg_dofs_per_processor (const unsigned int level) const

const FiniteElement< dim, spacedim > & get_fe (const unsigned int index=0) const

const hp::FECollection< dim, spacedim > & get_fe_collection () const

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

MPI_Comm get_communicator () const

void prepare_for_serialization_of_active_fe_indices ()

void deserialize_active_fe_indices ()

virtual std::size_t memory_consumption () const

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

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

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

static ::ExceptionBaseExcNoFESelected ()

static ::ExceptionBaseExcInvalidBoundaryIndicator ()

static ::ExceptionBaseExcInvalidLevel (int arg1)

static ::ExceptionBaseExcNewNumbersNotConsecutive (types::global_dof_index arg1)

static ::ExceptionBaseExcInvalidFEIndex (int arg1, int arg2)

static ::ExceptionBaseExcOnlyAvailableWithHP ()

static ::ExceptionBaseExcNotImplementedWithHP ()

void clear_space ()

void clear_mg_space ()

types::global_dof_index get_dof_index (const unsigned int obj_level, const unsigned int obj_index, const unsigned int fe_index, const unsigned int local_index) const

void set_dof_index (const unsigned int obj_level, const unsigned int obj_index, const unsigned int fe_index, const unsigned int local_index, const types::global_dof_index global_index) const

void setup_policy ()

void connect_to_triangulation_signals ()

void create_active_fe_table ()

void update_active_fe_table ()

void pre_transfer_action ()

void post_transfer_action ()

void pre_distributed_transfer_action ()

void post_distributed_transfer_action ()

## Detailed Description

template<int dim, int spacedim = dim>
class hp::DoFHandler< dim, spacedim >

Manage the distribution and numbering of the degrees of freedom for hp- FEM algorithms. This class satisfies the MeshType concept requirements.

The purpose of this class is to allow for an enumeration of degrees of freedom in the same way as the DoFHandler class, but it allows to use a different finite element on every cell. To this end, one assigns an active_fe_index to every cell that indicates which element within a collection of finite elements (represented by an object of type hp::FECollection) is the one that lives on this cell. The class then enumerates the degree of freedom associated with these finite elements on each cell of a triangulation and, if possible, identifies degrees of freedom at the interfaces of cells if they match. If neighboring cells have degrees of freedom along the common interface that do not immediate match (for example, if you have $$Q_2$$ and $$Q_3$$ elements meeting at a common face), then one needs to compute constraints to ensure that the resulting finite element space on the mesh remains conforming.

The whole process of working with objects of this type is explained in step-27. Many of the algorithms this class implements are described in the hp-paper.

### Active FE indices and their behavior under mesh refinement

The typical workflow for using this class is to create a mesh, assign an active FE index to every active cell, calls hp::DoFHandler::distribute_dofs(), and then assemble a linear system and solve a problem on this finite element space. However, one can skip assigning active FE indices upon mesh refinement in certain circumstances. In particular, the following rules apply:

• Upon mesh refinement, child cells inherit the active FE index of the parent.
• When coarsening cells, the (now active) parent cell will be assigned an active FE index that is determined from its (no longer active) children, following the FiniteElementDomination logic: Out of the set of elements previously assigned to the former children, we choose the one dominated by all children for the parent cell. If none was found, we pick the most dominant element in the whole collection that is dominated by all former children. See hp::FECollection::find_dominated_fe_extended() for further information on this topic.
Note
Finite elements need to be assigned to each cell by either calling set_fe() or distribute_dofs() first to make this functionality available.

### Active FE indices and parallel meshes

When this class is used with either a parallel::shared::Triangulation or a parallel::distributed::Triangulation, you can only set active FE indices on cells that are locally owned, using a call such as cell->set_active_fe_index(...). On the other hand, setting the active FE index on ghost or artificial cells is not allowed.

Ghost cells do acquire the information what element is active on them, however: whenever you call hp::DoFHandler::distribute_dofs(), all processors that participate in the parallel mesh exchange information in such a way that the active FE index on ghost cells equals the active FE index that was set on that processor that owned that particular ghost cell. Consequently, one can query the active_fe_index on ghost cells, just not set it by hand.

On artificial cells, no information is available about the active_fe_index used there. That's because we don't even know whether these cells exist at all, and even if they did, the current processor does not know anything specific about them. See the glossary entry on artificial cells for more information.

During refinement and coarsening, information about the active_fe_index of each cell will be automatically transferred.

However, using a parallel::distributed::Triangulation with an hp::DoFHandler requires additional attention during serialization, since no information on active FE indices will be automatically transferred. This has to be done manually using the prepare_for_serialization_of_active_fe_indices() and deserialize_active_fe_indices() functions. The former has to be called before parallel::distributed::Triangulation::save() is invoked, and the latter needs to be run after parallel::distributed::Triangulation::load(). If further data will be attached to the triangulation via the parallel::distributed::CellDataTransfer, parallel::distributed::SolutionTransfer, or Particles::ParticleHandler classes, all corresponding preparation and deserialization function calls need to happen in the same order. Consult the documentation of parallel::distributed::SolutionTransfer for more information.

Deprecated:
The basic DoFHandler is capable of hp-adaptation now.

Definition at line 125 of file dof_handler.h.

## ◆ ActiveSelector

 using DoFHandler< dim, spacedim >::ActiveSelector = ::internal::DoFHandlerImplementation::Iterators
privateinherited

Definition at line 316 of file dof_handler.h.

## ◆ LevelSelector

 using DoFHandler< dim, spacedim >::LevelSelector = ::internal::DoFHandlerImplementation::Iterators
privateinherited

Definition at line 318 of file dof_handler.h.

## ◆ cell_accessor

 using DoFHandler< dim, spacedim >::cell_accessor = typename ActiveSelector::CellAccessor
inherited

An alias that is used to identify cell iterators in DoFHandler objects. The concept of iterators is discussed at length in the iterators documentation module.

The current alias works, in essence, like the corresponding Triangulation::cell_accessor alias. However, it also makes available the member functions of DoFCellAccessor, in addition to the ones already available through the CellAccessor class.

Definition at line 334 of file dof_handler.h.

## ◆ face_accessor

 using DoFHandler< dim, spacedim >::face_accessor = typename ActiveSelector::FaceAccessor
inherited

An alias that is used to identify iterators that point to faces. The concept of iterators is discussed at length in the iterators documentation module.

The current alias works, in essence, like the corresponding Triangulation::face_accessor alias. However, it also makes available the member functions of DoFAccessor, in addition to the ones already available through the TriaAccessor class.

Definition at line 348 of file dof_handler.h.

## ◆ line_iterator

 using DoFHandler< dim, spacedim >::line_iterator = typename ActiveSelector::line_iterator
inherited

An alias that defines an iterator over the (one-dimensional) lines of a mesh. In one-dimensional meshes, these are the cells of the mesh, whereas in two-dimensional meshes the lines are the faces of cells.

Definition at line 357 of file dof_handler.h.

## ◆ active_line_iterator

 using DoFHandler< dim, spacedim >::active_line_iterator = typename ActiveSelector::active_line_iterator
inherited

An alias that allows iterating over the active lines, i.e., that subset of lines that have no children. In one-dimensional meshes, these are the cells of the mesh, whereas in two-dimensional meshes the lines are the faces of cells.

In two- or three-dimensional meshes, lines without children (i.e., the active lines) are part of at least one active cell. Each such line may additionally be a child of a line of a coarser cell adjacent to a cell that is active. (This coarser neighbor would then also be active.)

Definition at line 372 of file dof_handler.h.

inherited

An alias that defines an iterator over the (two-dimensional) quads of a mesh. In two-dimensional meshes, these are the cells of the mesh, whereas in three-dimensional meshes the quads are the faces of cells.

Definition at line 381 of file dof_handler.h.

inherited

An alias that allows iterating over the active quads, i.e., that subset of quads that have no children. In two-dimensional meshes, these are the cells of the mesh, whereas in three-dimensional meshes the quads are the faces of cells.

In three-dimensional meshes, quads without children (i.e., the active quads) are faces of at least one active cell. Each such quad may additionally be a child of a quad face of a coarser cell adjacent to a cell that is active. (This coarser neighbor would then also be active.)

Definition at line 396 of file dof_handler.h.

## ◆ hex_iterator

 using DoFHandler< dim, spacedim >::hex_iterator = typename ActiveSelector::hex_iterator
inherited

An alias that defines an iterator over the (three-dimensional) hexes of a mesh. This iterator only makes sense in three-dimensional meshes, where hexes are the cells of the mesh.

Definition at line 405 of file dof_handler.h.

## ◆ active_hex_iterator

 using DoFHandler< dim, spacedim >::active_hex_iterator = typename ActiveSelector::active_hex_iterator
inherited

An alias that allows iterating over the active hexes of a mesh. This iterator only makes sense in three-dimensional meshes, where hexes are the cells of the mesh. Consequently, in these three-dimensional meshes, this iterator is equivalent to the active_cell_iterator alias.

Definition at line 416 of file dof_handler.h.

## ◆ active_cell_iterator

 using DoFHandler< dim, spacedim >::active_cell_iterator = typename ActiveSelector::active_cell_iterator
inherited

An alias that is used to identify active cell iterators. The concept of iterators is discussed at length in the iterators documentation module.

The current alias identifies active cells in a DoFHandler object. While the actual data type of the alias is hidden behind a few layers of (unfortunately necessary) indirections, it is in essence TriaActiveIterator<DoFCellAccessor>. The TriaActiveIterator class works like a pointer to active objects that when you dereference it yields an object of type DoFCellAccessor. DoFCellAccessor is a class that identifies properties that are specific to cells in a DoFHandler, but it is derived (and consequently inherits) from both DoFAccessor, TriaCellAccessor and TriaAccessor that describe what you can ask of more general objects (lines, faces, as well as cells) in a triangulation and DoFHandler objects.

Definition at line 438 of file dof_handler.h.

## ◆ cell_iterator

 using DoFHandler< dim, spacedim >::cell_iterator = typename ActiveSelector::cell_iterator
inherited

An alias that is used to identify cell iterators. The concept of iterators is discussed at length in the iterators documentation module.

The current alias identifies cells in a DoFHandler object. Some of these cells may in fact be active (see active cell iterators) in which case they can in fact be asked for the degrees of freedom that live on them. On the other hand, if the cell is not active, any such query will result in an error. Note that this is what distinguishes this alias from the level_cell_iterator alias.

While the actual data type of the alias is hidden behind a few layers of (unfortunately necessary) indirections, it is in essence TriaIterator<DoFCellAccessor>. The TriaIterator class works like a pointer to objects that when you dereference it yields an object of type DoFCellAccessor. DoFCellAccessor is a class that identifies properties that are specific to cells in a DoFHandler, but it is derived (and consequently inherits) from both DoFAccessor, TriaCellAccessor and TriaAccessor that describe what you can ask of more general objects (lines, faces, as well as cells) in a triangulation and DoFHandler objects.

Definition at line 466 of file dof_handler.h.

## ◆ face_iterator

 using DoFHandler< dim, spacedim >::face_iterator = typename ActiveSelector::face_iterator
inherited

An alias that is used to identify iterators that point to faces. The concept of iterators is discussed at length in the iterators documentation module.

While the actual data type of the alias is hidden behind a few layers of (unfortunately necessary) indirections, it is in essence TriaIterator<DoFAccessor>. The TriaIterator class works like a pointer to objects that when you dereference it yields an object of type DoFAccessor. DoFAccessor, in turn, is a class that can be used to query DoF indices on faces, but it is also derived from TriaAccessor and consequently can be used to query geometric properties such as vertices of faces, their area, etc.

Definition at line 484 of file dof_handler.h.

## ◆ active_face_iterator

 using DoFHandler< dim, spacedim >::active_face_iterator = typename ActiveSelector::active_face_iterator
inherited

An alias that is used to identify iterators that point to active faces, i.e., to faces that have no children. Active faces must be faces of at least one active cell.

Other than the "active" qualification, this alias is identical to the face_iterator alias. In particular, dereferencing either yields the same kind of object.

Definition at line 497 of file dof_handler.h.

## ◆ level_cell_accessor

 using DoFHandler< dim, spacedim >::level_cell_accessor = typename LevelSelector::CellAccessor
inherited

Definition at line 499 of file dof_handler.h.

## ◆ level_face_accessor

 using DoFHandler< dim, spacedim >::level_face_accessor = typename LevelSelector::FaceAccessor
inherited

Definition at line 500 of file dof_handler.h.

## ◆ level_cell_iterator

 using DoFHandler< dim, spacedim >::level_cell_iterator = typename LevelSelector::cell_iterator
inherited

Definition at line 502 of file dof_handler.h.

## ◆ level_face_iterator

 using DoFHandler< dim, spacedim >::level_face_iterator = typename LevelSelector::face_iterator
inherited

Definition at line 503 of file dof_handler.h.

## ◆ active_fe_index_type

 using DoFHandler< dim, spacedim >::active_fe_index_type = unsigned short int
inherited

The type in which we store the active FE index.

Definition at line 529 of file dof_handler.h.

## ◆ offset_type

 using DoFHandler< dim, spacedim >::offset_type = unsigned int
inherited

The type in which we store the offsets in the CRS data structures.

Definition at line 534 of file dof_handler.h.

## ◆ initialize() [1/2]

 void DoFHandler< dim, spacedim >::initialize ( const Triangulation< dim, spacedim > & tria, const FiniteElement< dim, spacedim > & fe )
inherited

Assign a Triangulation and a FiniteElement to the DoFHandler and compute the distribution of degrees of freedom over the mesh.

Deprecated:

## ◆ initialize() [2/2]

 void DoFHandler< dim, spacedim >::initialize ( const Triangulation< dim, spacedim > & tria, const hp::FECollection< dim, spacedim > & fe )
inherited

Same as above but taking an hp::FECollection object.

Deprecated:

## ◆ set_fe() [1/2]

 void DoFHandler< dim, spacedim >::set_fe ( const FiniteElement< dim, spacedim > & fe )
inherited

Assign a FiniteElement fe to this object.

Note
This function makes a copy of the finite element given as argument, and stores it as a member variable. Consequently, it is possible to write code such as
dof_handler.set_fe(FE_Q<dim>(2));
Definition: fe_q.h:549
You can then access the finite element later on by calling DoFHandler::get_fe(). However, it is often more convenient to keep a named finite element object as a member variable in your main class and refer to it directly whenever you need to access properties of the finite element (such as FiniteElementData::dofs_per_cell). This is what all tutorial programs do.
Warning
This function only sets a FiniteElement. Degrees of freedom have either not been distributed yet, or are distributed using a previously set element. In both cases, accessing degrees of freedom will lead to invalid results. To restore consistency, call distribute_dofs().
Deprecated:

## ◆ set_fe() [2/2]

 void DoFHandler< dim, spacedim >::set_fe ( const hp::FECollection< dim, spacedim > & fe )
inherited

Same as above but taking an hp::FECollection object.

Deprecated:

## ◆ set_active_fe_indices()

 void DoFHandler< dim, spacedim >::set_active_fe_indices ( const std::vector< unsigned int > & active_fe_indices )
inherited

Go through the triangulation and set the active FE indices of all active cells to the values given in active_fe_indices.

## ◆ get_active_fe_indices()

 void DoFHandler< dim, spacedim >::get_active_fe_indices ( std::vector< unsigned int > & active_fe_indices ) const
inherited

Go through the triangulation and store the active FE indices of all active cells to the vector active_fe_indices. This vector is resized, if necessary.

## ◆ reinit()

 void DoFHandler< dim, spacedim >::reinit ( const Triangulation< dim, spacedim > & tria )
inherited

Assign a Triangulation to the DoFHandler.

Remove all associations with the previous Triangulation object and establish connections with the new one. All information about previous degrees of freedom will be removed. Activates hp-mode.

## ◆ distribute_dofs() [1/2]

 void DoFHandler< dim, spacedim >::distribute_dofs ( const FiniteElement< dim, spacedim > & fe )
inherited

Go through the triangulation and "distribute" the degrees of freedom needed for the given finite element. "Distributing" degrees of freedom involves allocating memory to store the indices on all entities on which degrees of freedom can be located (e.g., vertices, edges, faces, etc.) and to then enumerate all degrees of freedom. In other words, while the mesh and the finite element object by themselves simply define a finite element space $$V_h$$, the process of distributing degrees of freedom makes sure that there is a basis for this space and that the shape functions of this basis are enumerated in an indexable, predictable way.

The exact order in which degrees of freedom on a mesh are ordered, i.e., the order in which basis functions of the finite element space are enumerated, is something that deal.II treats as an implementation detail. By and large, degrees of freedom are enumerated in the same order in which we traverse cells, but you should not rely on any specific numbering. In contrast, if you want a particular ordering, use the functions in namespace DoFRenumbering.

This function is first discussed in the introduction to the step-2 tutorial program.

Note
This function makes a copy of the finite element given as argument, and stores it as a member variable, similarly to the above function set_fe().

## ◆ distribute_dofs() [2/2]

 void DoFHandler< dim, spacedim >::distribute_dofs ( const hp::FECollection< dim, spacedim > & fe )
inherited

Same as above but taking an hp::FECollection object.

## ◆ distribute_mg_dofs()

 void DoFHandler< dim, spacedim >::distribute_mg_dofs ( )
inherited

Distribute level degrees of freedom on each level for geometric multigrid. The active DoFs need to be distributed using distribute_dofs() before calling this function.

## ◆ has_hp_capabilities()

 bool DoFHandler< dim, spacedim >::has_hp_capabilities ( ) const
inherited

Returns whether this DoFHandler has hp-capabilities.

## ◆ has_level_dofs()

 bool DoFHandler< dim, spacedim >::has_level_dofs ( ) const
inherited

This function returns whether this DoFHandler has DoFs distributed on each multigrid level or in other words if distribute_mg_dofs() has been called.

## ◆ has_active_dofs()

 bool DoFHandler< dim, spacedim >::has_active_dofs ( ) const
inherited

This function returns whether this DoFHandler has active DoFs. This is equivalent to asking whether (i) distribute_dofs() has been called and (ii) the finite element for which degrees of freedom have been distributed actually has degrees of freedom (which is not the case for FE_Nothing, for example).

If this object is based on a parallel::distributed::Triangulation, then the current function returns true if any partition of the parallel DoFHandler object has any degrees of freedom. In other words, the function returns true even if the Triangulation does not own any active cells on the current MPI process, but at least one process owns cells and at least this one process has any degrees of freedom associated with it.

## ◆ initialize_local_block_info()

 void DoFHandler< dim, spacedim >::initialize_local_block_info ( )
inherited

After distribute_dofs() with an FESystem element, the block structure of global and level vectors is stored in a BlockInfo object accessible with block_info(). This function initializes the local block structure on each cell in the same object.

## ◆ clear()

 void DoFHandler< dim, spacedim >::clear ( )
inherited

Clear all data of this object.

## ◆ renumber_dofs() [1/2]

 void DoFHandler< dim, spacedim >::renumber_dofs ( const std::vector< types::global_dof_index > & new_numbers )
inherited

Renumber degrees of freedom based on a list of new DoF indices for each of the degrees of freedom.

This function is called by the functions in DoFRenumbering function after computing a new ordering of the degree of freedom indices. However, it can of course also be called from user code.

• new_number This array must have a size equal to the number of degrees of freedom owned by the current processor, i.e. the size must be equal to what n_locally_owned_dofs() returns. If only one processor participates in storing the current mesh, then this equals the total number of degrees of freedom, i.e. the result of n_dofs(). The contents of this array are the new global indices for each freedom listed in the IndexSet returned by locally_owned_dofs(). In the case of a sequential mesh this means that the array is a list of new indices for each of the degrees of freedom on the current mesh. In the case that we have a parallel::shared::Triangulation or parallel::distributed::Triangulation underlying this DoFHandler object, the array is a list of new indices for all the locally owned degrees of freedom, enumerated in the same order as the currently locally owned DoFs. In other words, assume that degree of freedom i is currently locally owned, then new_numbers[locally_owned_dofs().index_within_set(i)] returns the new global DoF index of i. Since the IndexSet of locally_owned_dofs() is complete in the sequential case, the latter convention for the content of the array reduces to the former in the case that only one processor participates in the mesh.
Note
While it follows from the above, it may be surprising to know that the number of locally owned degrees of freedom in a parallel computation is an invariant under renumbering, even if the indices associated with these locally owned degrees of freedom are not. At a fundamental level, this invariant exists because the decision whether a degree of freedom is locally owned or not has nothing to do with that degree of freedom's (old or new) index. Indeed, degrees of freedom are locally owned if they are on a locally owned cell and not on an interface between cells where the neighboring cell has a lower subdomain id. Since both of these conditions are independent of the index associated with the DoF, a locally owned degree of freedom will also be locally owned after renumbering. On the other hand, properties such as whether the set of indices of locally owned DoFs forms a contiguous range or not (i.e., whether the locally_owned_dofs() returns an IndexSet object for which IndexSet::is_contiguous() returns true) are of course affected by the exact renumbering performed here. For example, while the initial numbering of DoF indices done in distribute_dofs() yields a contiguous numbering, the renumbering performed by DoFRenumbering::component_wise() will, in general, not yield contiguous locally owned DoF indices.

## ◆ renumber_dofs() [2/2]

 void DoFHandler< dim, spacedim >::renumber_dofs ( const unsigned int level, const std::vector< types::global_dof_index > & new_numbers )
inherited

The same function as above, but renumber the degrees of freedom of a single level of a multigrid hierarchy.

## ◆ max_couplings_between_dofs()

 unsigned int DoFHandler< dim, spacedim >::max_couplings_between_dofs ( ) const
inherited

Return the maximum number of degrees of freedom a degree of freedom in the given triangulation with the given finite element may couple with. This is the maximum number of entries per line in the system matrix; this information can therefore be used upon construction of the SparsityPattern object.

The returned number is not really the maximum number but an estimate based on the finite element and the maximum number of cells meeting at a vertex. The number holds for the constrained matrix as well.

The determination of the number of couplings can be done by simple picture drawing. An example can be found in the implementation of this function.

Note
This function is most often used to determine the maximal row length for sparsity patterns. Unfortunately, while the estimates returned by this function are rather accurate in 1d and 2d, they are often significantly too high in 3d, leading the SparsityPattern class to allocate much too much memory in some cases. Unless someone comes around to improving the present function for 3d, there is not very much one can do about these cases. The typical way to work around this problem is to use an intermediate compressed sparsity pattern that only allocates memory on demand. Refer to the step-2 and step-11 example programs on how to do this. The problem is also discussed in the documentation of the module on Sparsity.

## ◆ max_couplings_between_boundary_dofs()

 unsigned int DoFHandler< dim, spacedim >::max_couplings_between_boundary_dofs ( ) const
inherited

Return the number of degrees of freedom located on the boundary another dof on the boundary can couple with.

The number is the same as for max_couplings_between_dofs() in one dimension less.

Note
The same applies to this function as to max_couplings_per_dofs() as regards the performance of this function. Think about one of the dynamic sparsity pattern classes instead (see Sparsity).

## ◆ begin()

 cell_iterator DoFHandler< dim, spacedim >::begin ( const unsigned int level = 0 ) const
inherited

Iterator to the first used cell on level level.

## ◆ begin_active()

 active_cell_iterator DoFHandler< dim, spacedim >::begin_active ( const unsigned int level = 0 ) const
inherited

Iterator to the first active cell on level level. If the given level does not contain any active cells (i.e., all cells on this level are further refined), then this function returns end_active(level) so that loops of the kind

for (cell=dof_handler.begin_active(level);
cell!=dof_handler.end_active(level);
++cell)
{
...
}
unsigned int level
Definition: grid_out.cc:4590

have zero iterations, as may be expected if there are no active cells on this level.

## ◆ end() [1/2]

 cell_iterator DoFHandler< dim, spacedim >::end ( ) const
inherited

Iterator past the end; this iterator serves for comparisons of iterators with past-the-end or before-the-beginning states.

## ◆ end() [2/2]

 cell_iterator DoFHandler< dim, spacedim >::end ( const unsigned int level ) const
inherited

Return an iterator which is the first iterator not on the given level. If level is the last level, then this returns end().

## ◆ end_active()

 active_cell_iterator DoFHandler< dim, spacedim >::end_active ( const unsigned int level ) const
inherited

Return an active iterator which is the first active iterator not on the given level. If level is the last level, then this returns end().

## ◆ begin_mg()

 level_cell_iterator DoFHandler< dim, spacedim >::begin_mg ( const unsigned int level = 0 ) const
inherited

Iterator to the first used cell on level level. This returns a level_cell_iterator that returns level dofs when dof_indices() is called.

## ◆ end_mg() [1/2]

 level_cell_iterator DoFHandler< dim, spacedim >::end_mg ( const unsigned int level ) const
inherited

Iterator past the last cell on level level. This returns a level_cell_iterator that returns level dofs when dof_indices() is called.

## ◆ end_mg() [2/2]

 level_cell_iterator DoFHandler< dim, spacedim >::end_mg ( ) const
inherited

Iterator past the end; this iterator serves for comparisons of iterators with past-the-end or before-the-beginning states.

## ◆ cell_iterators()

 IteratorRange< cell_iterator > DoFHandler< dim, spacedim >::cell_iterators ( ) const
inherited

Return an iterator range that contains all cells (active or not) that make up this DoFHandler. Such a range is useful to initialize range-based for loops as supported by C++11. See the example in the documentation of active_cell_iterators().

Returns
The half open range [this->begin(), this->end())

## ◆ active_cell_iterators()

 IteratorRange< active_cell_iterator > DoFHandler< dim, spacedim >::active_cell_iterators ( ) const
inherited

Return an iterator range that contains all active cells that make up this DoFHandler. Such a range is useful to initialize range-based for loops as supported by C++11, see also C++11 standard.

Range-based for loops are useful in that they require much less code than traditional loops (see here for a discussion of how they work). An example is that without range-based for loops, one often writes code such as the following:

DoFHandler<dim> dof_handler;
...
cell = dof_handler.begin_active(),
endc = dof_handler.end();
for (; cell!=endc; ++cell)
{
fe_values.reinit (cell);
...do the local integration on 'cell'...;
}
cell_iterator end() const
active_cell_iterator begin_active(const unsigned int level=0) const
typename ActiveSelector::active_cell_iterator active_cell_iterator
Definition: dof_handler.h:438

Using C++11's range-based for loops, this is now entirely equivalent to the following:

DoFHandler<dim> dof_handler;
...
for (const auto &cell : dof_handler.active_cell_iterators())
{
fe_values.reinit (cell);
...do the local integration on 'cell'...;
}
void reinit(const Triangulation< dim, spacedim > &tria)
IteratorRange< active_cell_iterator > active_cell_iterators() const
Returns
The half open range [this->begin_active(), this->end())

## ◆ mg_cell_iterators()

 IteratorRange< level_cell_iterator > DoFHandler< dim, spacedim >::mg_cell_iterators ( ) const
inherited

Return an iterator range that contains all cells (active or not) that make up this DoFHandler in their level-cell form. Such a range is useful to initialize range-based for loops as supported by C++11. See the example in the documentation of active_cell_iterators().

Returns
The half open range [this->begin_mg(), this->end_mg())

## ◆ cell_iterators_on_level()

 IteratorRange< cell_iterator > DoFHandler< dim, spacedim >::cell_iterators_on_level ( const unsigned int level ) const
inherited

Return an iterator range that contains all cells (active or not) that make up the given level of this DoFHandler. Such a range is useful to initialize range-based for loops as supported by C++11. See the example in the documentation of active_cell_iterators().

Parameters
 [in] level A given level in the refinement hierarchy of this triangulation.
Returns
The half open range [this->begin(level), this->end(level))
Precondition
level must be less than this->n_levels().

## ◆ active_cell_iterators_on_level()

 IteratorRange< active_cell_iterator > DoFHandler< dim, spacedim >::active_cell_iterators_on_level ( const unsigned int level ) const
inherited

Return an iterator range that contains all active cells that make up the given level of this DoFHandler. Such a range is useful to initialize range-based for loops as supported by C++11. See the example in the documentation of active_cell_iterators().

Parameters
 [in] level A given level in the refinement hierarchy of this triangulation.
Returns
The half open range [this->begin_active(level), this->end(level))
Precondition
level must be less than this->n_levels().

## ◆ mg_cell_iterators_on_level()

 IteratorRange< level_cell_iterator > DoFHandler< dim, spacedim >::mg_cell_iterators_on_level ( const unsigned int level ) const
inherited

Return an iterator range that contains all cells (active or not) that make up the given level of this DoFHandler in their level-cell form. Such a range is useful to initialize range-based for loops as supported by C++11. See the example in the documentation of active_cell_iterators().

Parameters
 [in] level A given level in the refinement hierarchy of this triangulation.
Returns
The half open range [this->begin_mg(level), this->end_mg(level))
Precondition
level must be less than this->n_levels().

## ◆ n_dofs() [1/2]

 types::global_dof_index DoFHandler< dim, spacedim >::n_dofs ( ) const
inherited

Return the global number of degrees of freedom. If the current object handles all degrees of freedom itself (even if you may intend to solve your linear system in parallel, such as in step-17 or step-18), then this number equals the number of locally owned degrees of freedom since this object doesn't know anything about what you want to do with it and believes that it owns every degree of freedom it knows about.

On the other hand, if this object operates on a parallel::distributed::Triangulation object, then this function returns the global number of degrees of freedom, accumulated over all processors.

In either case, included in the returned number are those DoFs which are constrained by hanging nodes, see Constraints on degrees of freedom.

Mathematically speaking, the number returned by this function equals the dimension of the finite element space (without taking into account constraints) that corresponds to (i) the mesh on which it is defined, and (ii) the finite element that is used by the current object. It also, of course, equals the number of shape functions that span this space.

## ◆ n_dofs() [2/2]

 types::global_dof_index DoFHandler< dim, spacedim >::n_dofs ( const unsigned int level ) const
inherited

The (global) number of multilevel degrees of freedom on a given level.

If no level degrees of freedom have been assigned to this level, returns numbers::invalid_dof_index. Else returns the number of degrees of freedom on this level.

## ◆ n_boundary_dofs() [1/3]

 types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs ( ) const
inherited

Return the number of locally owned degrees of freedom located on the boundary.

## ◆ n_boundary_dofs() [2/3]

 types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs ( const std::map< types::boundary_id, const Function< spacedim, number > * > & boundary_ids ) const
inherited

Return the number of locally owned degrees of freedom located on those parts of the boundary which have a boundary indicator listed in the given set. The reason that a map rather than a set is used is the same as described in the documentation of that variant of DoFTools::make_boundary_sparsity_pattern() that takes a map.

There is, however, another overload of this function that takes a set argument (see below).

## ◆ n_boundary_dofs() [3/3]

 types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs ( const std::set< types::boundary_id > & boundary_ids ) const
inherited

Return the number of degrees of freedom located on those parts of the boundary which have a boundary indicator listed in the given set. The

## ◆ block_info()

 const BlockInfo & DoFHandler< dim, spacedim >::block_info ( ) const
inherited

Access to an object informing of the block structure of the dof handler.

If an FESystem is used in distribute_dofs(), degrees of freedom naturally split into several blocks. For each base element as many blocks appear as its multiplicity.

At the end of distribute_dofs(), the number of degrees of freedom in each block is counted, and stored in a BlockInfo object, which can be accessed here. If you have previously called distribute_mg_dofs(), the same is done on each level of the multigrid hierarchy. Additionally, the block structure on each cell can be generated in this object by calling initialize_local_block_info().

## ◆ n_locally_owned_dofs()

 types::global_dof_index DoFHandler< dim, spacedim >::n_locally_owned_dofs ( ) const
inherited

Return the number of degrees of freedom that belong to this process.

If this is a sequential DoFHandler, then the result equals that produced by n_dofs(). (Here, "sequential" means that either the whole program does not use MPI, or that it uses MPI but only uses a single MPI process, or that there are multiple MPI processes but the Triangulation on which this DoFHandler builds works only on one MPI process.) On the other hand, if we are operating on a parallel::distributed::Triangulation or parallel::shared::Triangulation, then it includes only the degrees of freedom that the current processor owns. Note that in this case this does not include all degrees of freedom that have been distributed on the current processor's image of the mesh: in particular, some of the degrees of freedom on the interface between the cells owned by this processor and cells owned by other processors may be theirs, and degrees of freedom on ghost cells are also not necessarily included.

## ◆ locally_owned_dofs()

 const IndexSet & DoFHandler< dim, spacedim >::locally_owned_dofs ( ) const
inherited

Return an IndexSet describing the set of locally owned DoFs as a subset of 0..n_dofs(). The number of elements of this set equals n_locally_owned_dofs().

## ◆ locally_owned_mg_dofs()

 const IndexSet & DoFHandler< dim, spacedim >::locally_owned_mg_dofs ( const unsigned int level ) const
inherited

Return an IndexSet describing the set of locally owned DoFs used for the given multigrid level as a subset of 0..n_dofs(level).

## ◆ locally_owned_dofs_per_processor()

 const std::vector< IndexSet > & DoFHandler< dim, spacedim >::locally_owned_dofs_per_processor ( ) const
inherited

Return a vector that stores the locally owned DoFs of each processor.

Deprecated:
As of deal.II version 9.2, we do not populate a vector with the index sets of all processors by default any more due to a possibly large memory footprint on many processors. As a consequence, this function needs to call Utilities::MPI::all_gather(comm, locally_owned_dofs()) upon the first invocation, including global communication. Use Utilities::MPI::all_gather(comm, dof_handler.locally_owned_dofs()) instead if using up to a few thousands of MPI ranks or some variant involving local communication with more processors.

## ◆ n_locally_owned_dofs_per_processor()

 const std::vector< types::global_dof_index > & DoFHandler< dim, spacedim >::n_locally_owned_dofs_per_processor ( ) const
inherited

Return a vector that stores the number of degrees of freedom each processor that participates in this triangulation owns locally. The sum of all these numbers equals the number of degrees of freedom that exist globally, i.e. what n_dofs() returns.

Deprecated:
As of deal.II version 9.2, we do not populate a vector with the numbers of dofs of all processors by default any more due to a possibly large memory footprint on many processors. As a consequence, this function needs to call Utilities::MPI::all_gather(comm, n_locally_owned_dofs() upon the first invocation, including global communication. Use Utilities::MPI::all_gather(comm, dof_handler.n_locally_owned_dofs() instead if using up to a few thousands of MPI ranks or some variant involving local communication with more processors.

## ◆ locally_owned_mg_dofs_per_processor()

 const std::vector< IndexSet > & DoFHandler< dim, spacedim >::locally_owned_mg_dofs_per_processor ( const unsigned int level ) const
inherited

Return a vector that stores the locally owned DoFs of each processor on the given level level.

Deprecated:
As of deal.II version 9.2, we do not populate a vector with the index sets of all processors by default any more due to a possibly large memory footprint on many processors. As a consequence, this function needs to call Utilities::MPI::all_gather(comm, locally_owned_dofs_mg()) upon the first invocation, including global communication. Use Utilities::MPI::all_gather(comm, dof_handler.locally_owned_dofs_mg()) instead if using up to a few thousands of MPI ranks or some variant involving local communication with more processors.

## ◆ get_fe()

 const FiniteElement< dim, spacedim > & DoFHandler< dim, spacedim >::get_fe ( const unsigned int index = 0 ) const
inherited

Return a constant reference to the indexth finite element object that is used by this object.

## ◆ get_fe_collection()

 const hp::FECollection< dim, spacedim > & DoFHandler< dim, spacedim >::get_fe_collection ( ) const
inherited

Return a constant reference to the set of finite element objects that are used by this object.

## ◆ get_triangulation()

 const Triangulation< dim, spacedim > & DoFHandler< dim, spacedim >::get_triangulation ( ) const
inherited

Return a constant reference to the triangulation underlying this object.

## ◆ get_communicator()

 MPI_Comm DoFHandler< dim, spacedim >::get_communicator ( ) const
inherited

Return MPI communicator used by the underlying triangulation.

## ◆ prepare_for_serialization_of_active_fe_indices()

 void DoFHandler< dim, spacedim >::prepare_for_serialization_of_active_fe_indices ( )
inherited

Whenever serialization with a parallel::distributed::Triangulation as the underlying triangulation is considered, we also need to consider storing the active FE indices on all active cells as well.

This function registers that these indices are to be stored whenever the parallel::distributed::Triangulation::save() function is called on the underlying triangulation.

Note
Currently only implemented for triangulations of type parallel::distributed::Triangulation. An assertion will be triggered if a different type is registered.
The documentation of parallel::distributed::SolutionTransfer has further information on serialization.

## ◆ deserialize_active_fe_indices()

 void DoFHandler< dim, spacedim >::deserialize_active_fe_indices ( )
inherited

Whenever serialization with a parallel::distributed::Triangulation as the underlying triangulation is considered, we also need to consider storing the active FE indices on all active cells as well.

This function deserializes and distributes the previously stored active FE indices on all active cells.

Note
Currently only implemented for triangulations of type parallel::distributed::Triangulation. An assertion will be triggered if a different type is registered.
The documentation of parallel::distributed::SolutionTransfer has further information on serialization.

## ◆ memory_consumption()

 virtual std::size_t DoFHandler< dim, spacedim >::memory_consumption ( ) const
virtualinherited

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

This function is made virtual, since a dof handler object might be accessed through a pointers to this base class, although the actual object might be a derived class.

## ◆ save()

 void DoFHandler< dim, spacedim >::save ( Archive & ar, const unsigned int version ) const
inherited

Write the data of this object to a stream for the purpose of serialization using the BOOST serialization library.

 void DoFHandler< dim, spacedim >::load ( Archive & ar, const unsigned int version )
inherited

Read the data of this object from a stream for the purpose of serialization using the BOOST serialization library.

## ◆ serialize()

 void DoFHandler< dim, spacedim >::serialize ( Archive & archive, const unsigned int version )
inherited

Write and read the data of this object from a stream for the purpose of serialization using the BOOST serialization library.

## ◆ ExcNoFESelected()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcNoFESelected ( )
staticinherited

Exception

## ◆ ExcInvalidBoundaryIndicator()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcInvalidBoundaryIndicator ( )
staticinherited

Exception

## ◆ ExcInvalidLevel()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcInvalidLevel ( int arg1 )
staticinherited

Exception

Note
The message that will be printed by this exception reads:
<< "The given level " << arg1 << " is not in the valid range!"

## ◆ ExcNewNumbersNotConsecutive()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcNewNumbersNotConsecutive ( types::global_dof_index arg1 )
staticinherited

Exception

Note
The message that will be printed by this exception reads:
<< "The given list of new dof indices is not consecutive: " << "the index " << arg1 << " does not exist."

## ◆ ExcInvalidFEIndex()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcInvalidFEIndex ( int arg1, int arg2 )
staticinherited

Exception

Note
The message that will be printed by this exception reads:
<< "The mesh contains a cell with an active FE index of " << arg1 << ", but the finite element collection only has " << arg2 << " elements"

## ◆ ExcOnlyAvailableWithHP()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcOnlyAvailableWithHP ( )
staticinherited

Exception used when a certain feature doesn't make sense when DoFHandler does not hp-capabilities.

Note
The message that will be printed by this exception reads:
"The current function doesn't make sense when used with a " "DoFHandler without hp-capabilities."

## ◆ ExcNotImplementedWithHP()

 static ::ExceptionBase & DoFHandler< dim, spacedim >::ExcNotImplementedWithHP ( )
staticinherited

Exception used when a certain feature is not implemented when the DoFHandler has hp-capabilities.

Note
The message that will be printed by this exception reads:
"The current function has not yet been implemented for a " "DoFHandler with hp-capabilities."

## ◆ clear_space()

 void DoFHandler< dim, spacedim >::clear_space ( )
privateinherited

Free all memory used for non-multigrid data structures.

## ◆ clear_mg_space()

 void DoFHandler< dim, spacedim >::clear_mg_space ( )
privateinherited

Free all memory used for multigrid data structures.

## ◆ get_dof_index()

 types::global_dof_index DoFHandler< dim, spacedim >::get_dof_index ( const unsigned int obj_level, const unsigned int obj_index, const unsigned int fe_index, const unsigned int local_index ) const
privateinherited

Return dof index of specified object.

## ◆ set_dof_index()

 void DoFHandler< dim, spacedim >::set_dof_index ( const unsigned int obj_level, const unsigned int obj_index, const unsigned int fe_index, const unsigned int local_index, const types::global_dof_index global_index ) const
privateinherited

Return dof index of specified object.

## ◆ setup_policy()

 void DoFHandler< dim, spacedim >::setup_policy ( )
privateinherited

Set up DoFHandler policy.

## ◆ connect_to_triangulation_signals()

 void DoFHandler< dim, spacedim >::connect_to_triangulation_signals ( )
privateinherited

Set up connections to signals of the underlying triangulation.

## ◆ create_active_fe_table()

 void DoFHandler< dim, spacedim >::create_active_fe_table ( )
privateinherited

Create default tables for the active and future fe_indices.

Active indices are initialized with a zero indicator, meaning that fe[0] is going to be used by default. Future indices are initialized with an invalid indicator, meaning that no p-adaptation is scheduled by default.

This method is called upon construction and whenever the underlying triangulation gets created. This ensures that each cell has a valid active and future fe_index.

## ◆ update_active_fe_table()

 void DoFHandler< dim, spacedim >::update_active_fe_table ( )
privateinherited

Update tables for active and future fe_indices.

Whenever the underlying triangulation changes (either by adaptation or deserialization), active and future FE index tables will be adjusted to the current structure of the triangulation. Missing values of active and future indices will be initialized with their defaults (see create_active_fe_table()).

This method is called post refinement and post deserialization. This ensures that each cell has a valid active and future fe_index.

## ◆ pre_transfer_action()

 void DoFHandler< dim, spacedim >::pre_transfer_action ( )
privateinherited

A function that will be triggered through a triangulation signal just before the associated Triangulation or parallel::shared::Triangulation is modified.

The function that stores the active FE indices of all cells that will be refined or coarsened before the refinement happens, so that they can be set again after refinement.

## ◆ post_transfer_action()

 void DoFHandler< dim, spacedim >::post_transfer_action ( )
privateinherited

A function that will be triggered through a triangulation signal just after the associated Triangulation or parallel::shared::Triangulation is modified.

The function that restores the active FE indices of all cells that were refined or coarsened.

## ◆ pre_distributed_transfer_action()

 void DoFHandler< dim, spacedim >::pre_distributed_transfer_action ( )
privateinherited

A function that will be triggered through a triangulation signal just before the associated parallel::distributed::Triangulation is modified.

The function that stores all active FE indices on locally owned cells for distribution over all participating processors.

## ◆ post_distributed_transfer_action()

 void DoFHandler< dim, spacedim >::post_distributed_transfer_action ( )
privateinherited

A function that will be triggered through a triangulation signal just after the associated parallel::distributed::Triangulation is modified.

The function that restores all active FE indices on locally owned cells that have been communicated.

## ◆ dimension

 const unsigned int DoFHandler< dim, spacedim >::dimension
staticinherited

Make the dimension available in function templates.

Definition at line 509 of file dof_handler.h.

## ◆ space_dimension

 const unsigned int DoFHandler< dim, spacedim >::space_dimension
staticinherited

Make the space dimension available in function templates.

Definition at line 514 of file dof_handler.h.

## ◆ default_fe_index

 const unsigned int DoFHandler< dim, spacedim >::default_fe_index
staticinherited

The default index of the finite element to be used on a given cell.

Definition at line 519 of file dof_handler.h.

## ◆ invalid_fe_index

 const unsigned int DoFHandler< dim, spacedim >::invalid_fe_index
staticinherited

Invalid index of the finite element to be used on a given cell.

Definition at line 524 of file dof_handler.h.

## ◆ invalid_active_fe_index

 const active_fe_index_type DoFHandler< dim, spacedim >::invalid_active_fe_index
staticinherited

Invalid active FE index which will be used as a default value to determine whether a future FE index has been set or not.

Definition at line 540 of file dof_handler.h.

## ◆ block_info_object

 BlockInfo DoFHandler< dim, spacedim >::block_info_object
privateinherited

An object containing information on the block structure.

Definition at line 1531 of file dof_handler.h.

## ◆ hp_capability_enabled

 bool DoFHandler< dim, spacedim >::hp_capability_enabled
privateinherited

Boolean indicating whether or not the current DoFHandler has hp- capabilities.

Definition at line 1537 of file dof_handler.h.

## ◆ tria

 SmartPointer, DoFHandler > DoFHandler< dim, spacedim >::tria
privateinherited

Address of the triangulation to work on.

Definition at line 1543 of file dof_handler.h.

## ◆ fe_collection

 hp::FECollection DoFHandler< dim, spacedim >::fe_collection
privateinherited

Store a hp::FECollection object. If only a single FiniteElement is used during initialization of this object, it contains the (one) FiniteElement.

Definition at line 1550 of file dof_handler.h.

## ◆ policy

 std::unique_ptr<::internal::DoFHandlerImplementation::Policy:: PolicyBase > DoFHandler< dim, spacedim >::policy
privateinherited

An object that describes how degrees of freedom should be distributed and renumbered.

Definition at line 1558 of file dof_handler.h.

## ◆ number_cache

 ::internal::DoFHandlerImplementation::NumberCache DoFHandler< dim, spacedim >::number_cache
privateinherited

A structure that contains all sorts of numbers that characterize the degrees of freedom this object works on.

For most members of this structure, there is an accessor function in this class that returns its value.

Definition at line 1567 of file dof_handler.h.

## ◆ mg_number_cache

 std::vector<::internal::DoFHandlerImplementation::NumberCache> DoFHandler< dim, spacedim >::mg_number_cache
privateinherited

Data structure like number_cache, but for each multigrid level.

Definition at line 1573 of file dof_handler.h.

## ◆ cell_dof_cache_indices

 std::vector > DoFHandler< dim, spacedim >::cell_dof_cache_indices
mutableprivateinherited

Cached indices of the degrees of freedom of all active cell. Identification of the appropriate position of a cell in the vectors is done via cell_dof_cache_ptr (CRS scheme).

Definition at line 1581 of file dof_handler.h.

## ◆ cell_dof_cache_ptr

 std::vector > DoFHandler< dim, spacedim >::cell_dof_cache_ptr
mutableprivateinherited

Pointer to the first cached degree of freedom of an active cell (identified by level and level index) within cell_dof_cache_indices.

Definition at line 1587 of file dof_handler.h.

## ◆ object_dof_indices

 std::vector, dim + 1> > DoFHandler< dim, spacedim >::object_dof_indices
mutableprivateinherited

Indices of degree of freedom of each d+1 geometric object (3D: vertex, line, quad, hex) for all relevant active finite elements. Identification of the appropriate position is done via object_dof_ptr (CRS scheme).

Definition at line 1595 of file dof_handler.h.

## ◆ object_dof_ptr

 std::vector, dim + 1> > DoFHandler< dim, spacedim >::object_dof_ptr
mutableprivateinherited

Pointer to the first cached degree of freedom of a geometric object for all relevant active finite elements.

Note
In normal mode it is possible to access this data structure directly. In hp-mode, an indirection via hp_object_fe_indices/hp_object_fe_ptr is necessary.

Definition at line 1606 of file dof_handler.h.

## ◆ hp_object_fe_indices

 std::array, dim + 1> DoFHandler< dim, spacedim >::hp_object_fe_indices
mutableprivateinherited

Active FE indices of each geometric object. Identification of the appropriate position of a cell in the vectors is done via hp_object_fe_ptr (CRS scheme).

Definition at line 1614 of file dof_handler.h.

## ◆ hp_object_fe_ptr

 std::array, dim + 1> DoFHandler< dim, spacedim >::hp_object_fe_ptr
mutableprivateinherited

Pointer to the first FE index of a geometric object.

Definition at line 1619 of file dof_handler.h.

## ◆ hp_cell_active_fe_indices

 std::vector > DoFHandler< dim, spacedim >::hp_cell_active_fe_indices
mutableprivateinherited

Active FE index of an active cell (identified by level and level index). This vector is only used in hp-mode.

Definition at line 1626 of file dof_handler.h.

## ◆ hp_cell_future_fe_indices

 std::vector > DoFHandler< dim, spacedim >::hp_cell_future_fe_indices
mutableprivateinherited

Future FE index of an active cell (identified by level and level index). This vector is only used in hp-mode.

Definition at line 1633 of file dof_handler.h.

## ◆ mg_vertex_dofs

 std::vector DoFHandler< dim, spacedim >::mg_vertex_dofs
privateinherited

An array to store the indices for level degrees of freedom located at vertices.

Definition at line 1639 of file dof_handler.h.

## ◆ mg_levels

 std::vector< std::unique_ptr<::internal::DoFHandlerImplementation::DoFLevel > > DoFHandler< dim, spacedim >::mg_levels
privateinherited

Space to store the DoF numbers for the different multigrid levels.

Definition at line 1646 of file dof_handler.h.

## ◆ mg_faces

 std::unique_ptr<::internal::DoFHandlerImplementation::DoFFaces > DoFHandler< dim, spacedim >::mg_faces
privateinherited

Space to store DoF numbers of faces in the multigrid context.

Definition at line 1652 of file dof_handler.h.

## ◆ active_fe_index_transfer

 std::unique_ptr DoFHandler< dim, spacedim >::active_fe_index_transfer
privateinherited

We embed our data structure into a pointer to control that all transfer related data only exists during the actual transfer process.

Definition at line 1658 of file dof_handler.h.

## ◆ tria_listeners

 std::vector DoFHandler< dim, spacedim >::tria_listeners
privateinherited

A list of connections with which this object connects to the triangulation to get information about when the triangulation changes.

Definition at line 1664 of file dof_handler.h.

## ◆ tria_listeners_for_transfer

 std::vector DoFHandler< dim, spacedim >::tria_listeners_for_transfer
privateinherited

A list of connections with which this object connects to the triangulation. They get triggered specifically when data needs to be transferred due to refinement or repartitioning. Only active in hp-mode.

Definition at line 1671 of file dof_handler.h.

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