Reference documentation for deal.II version Git 52d5a2a9d6 2021-04-13 22:10:47 -0400
DoFHandler< dim, spacedim > Class Template Reference

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

Inheritance diagram for DoFHandler< dim, spacedim >:
[legend]

## Classes

struct  ActiveFEIndexTransfer

class  MGVertexDoFs

## 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

DoFHandler ()

DoFHandler (const Triangulation< dim, spacedim > &tria)

DoFHandler (const DoFHandler &)=delete

virtual ~DoFHandler () override

DoFHandleroperator= (const DoFHandler &)=delete

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

Subscriptor functionality

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

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 Public Member Functions

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

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

## Static Public Attributes

static const unsigned int dimension = dim

static const unsigned int space_dimension = spacedim

static const unsigned int default_fe_index = 0

static const unsigned int invalid_fe_index = numbers::invalid_unsigned_int

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 >

## 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< MGVertexDoFsmg_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< ActiveFEIndexTransferactive_fe_index_transfer

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

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

template<int , int , int , bool >
class ::DoFAccessor

template<int , int , bool >
class ::DoFCellAccessor

struct ::internal::DoFAccessorImplementation::Implementation

struct ::internal::DoFCellAccessorImplementation::Implementation

struct ::internal::DoFHandlerImplementation::Implementation

struct ::internal::hp::DoFHandlerImplementation::Implementation

struct ::internal::DoFHandlerImplementation::Policy::Implementation

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

template<typename number >
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

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

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

template<class Archive >
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 ()

template<int structdim>
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

template<int structdim>
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 DoFHandler< dim, spacedim >

Given a triangulation and a description of a finite element, this class enumerates degrees of freedom on all vertices, edges, faces, and cells of the triangulation. As a result, it also provides a basis for a discrete space $$V_h$$ whose elements are finite element functions defined on each cell by a FiniteElement object. This class satisfies the MeshType concept requirements.

It is first used in the step-2 tutorial program.

For each vertex, line, quad, etc, this class stores a list of the indices of degrees of freedom living on this object. These indices refer to the unconstrained degrees of freedom, i.e. constrained degrees of freedom are numbered in the same way as unconstrained ones, and are only later eliminated. This leads to the fact that indices in global vectors and matrices also refer to all degrees of freedom and some kind of condensation is needed to restrict the systems of equations to the unconstrained degrees of freedom only. The actual layout of storage of the indices is described in the internal::DoFHandlerImplementation::DoFLevel class documentation.

The class offers iterators to traverse all cells, in much the same way as the Triangulation class does. Using the begin() and end() functions (and companions, like begin_active()), one can obtain iterators to walk over cells, and query the degree of freedom structures as well as the triangulation data. These iterators are built on top of those of the Triangulation class, but offer the additional information on degrees of freedom functionality compared to pure triangulation iterators. The order in which dof iterators are presented by the ++ and -- operators is the same as that for the corresponding iterators traversing the triangulation on which this DoFHandler is constructed.

The spacedim parameter has to be used if one wants to solve problems on surfaces. If not specified, this parameter takes the default value =dim implying that we want to solve problems in a domain whose dimension equals the dimension of the space in which it is embedded.

### Distribution of indices for degrees of freedom

The degrees of freedom (dofs') are distributed on the given triangulation by the function distribute_dofs(). It gets passed a finite element object describing how many degrees of freedom are located on vertices, lines, etc. It traverses the triangulation cell by cell and numbers the dofs of that cell if not yet numbered. For non-multigrid algorithms, only active cells are considered. Active cells are defined to be those cells which have no children, i.e. they are the most refined ones.

Since the triangulation is traversed starting with the cells of the coarsest active level and going to more refined levels, the lowest numbers for dofs are given to the largest cells as well as their bounding lines and vertices, with the dofs of more refined cells getting higher numbers.

This numbering implies very large bandwidths of the resulting matrices and is thus vastly suboptimal for some solution algorithms. For this reason, the DoFRenumbering class offers several algorithms to reorder the dof numbering according. See there for a discussion of the implemented algorithms.

### Interaction with distributed meshes

Upon construction, this class takes a reference to a triangulation object. In most cases, this will be a reference to an object of type Triangulation, i.e. the class that represents triangulations that entirely reside on a single processor. However, it can also be of type parallel::distributed::Triangulation (see, for example, step-32, step-40 and in particular the Parallel computing with multiple processors using distributed memory module) in which case the DoFHandler object will proceed to only manage degrees of freedom on locally owned and ghost cells. This process is entirely transparent to the used.

### User defined renumbering schemes

The DoFRenumbering class offers a number of renumbering schemes like the Cuthill-McKee scheme. Basically, the function sets up an array in which for each degree of freedom we store the new index this DoF should have after renumbering. Using this array, the renumber_dofs() function of the present class is called, which actually performs the change from old DoF indices to the ones given in the array. In some cases, however, a user may want to compute their own renumbering order; in this case, one can allocate an array with one element per degree of freedom and fill it with the number that the respective degree of freedom shall be assigned. This number may, for example, be obtained by sorting the support points of the degrees of freedom in downwind direction. Then call the renumber_dofs(vector<types::global_dof_index>) function with the array, which converts old into new degree of freedom indices.

Like many other classes in deal.II, the DoFHandler class can stream its contents to an archive using BOOST's serialization facilities. The data so stored can later be retrieved again from the archive to restore the contents of this object. This facility is frequently used to save the state of a program to disk for possible later resurrection, often in the context of checkpoint/restart strategies for long running computations or on computers that aren't very reliable (e.g. on very large clusters where individual nodes occasionally fail and then bring down an entire MPI job).

The model for doing so is similar for the DoFHandler class as it is for the Triangulation class (see the section in the general documentation of that class). In particular, the load() function does not exactly restore the same state as was stored previously using the save() function. Rather, the function assumes that you load data into a DoFHandler object that is already associated with a triangulation that has a content that matches the one that was used when the data was saved. Likewise, the load() function assumes that the current object is already associated with a finite element object that matches the one that was associated with it when data was saved; the latter can be achieved by calling DoFHandler::distribute_dofs() using the same kind of finite element before re-loading data from the serialization archive.

Instead of only using one particular FiniteElement on all cells, this class also allows for an enumeration of degrees of freedom on different finite elements on every cells. 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, call DoFHandler::distribute_dofs(), and then assemble a linear system and solve a problem on this finite element space.

Active FE indices will be automatically transferred during mesh adaptation from the old to the new mesh. Future FE indices are meant to determine the active FE index after mesh adaptation, and are used to prepare data on the old mesh for the new one. If no future FE index is specified, the finite element prevails.

In particular, the following rules apply during adaptation:

• Upon mesh refinement, child cells inherit the future FE index of the parent.
• When coarsening cells, the (now active) parent cell will be assigned a future 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.

Strategies for automatic hp-adaptation which will set future FE indices based on criteria are available in the hp::Refinement namespace.

### 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 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 a DoFHandler in hp-mode 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.

Definition at line 314 of file dof_handler.h.

## ◆ ActiveSelector

template<int dim, int spacedim = dim>
 using DoFHandler< dim, spacedim >::ActiveSelector = ::internal::DoFHandlerImplementation::Iterators
private

Definition at line 317 of file dof_handler.h.

## ◆ LevelSelector

template<int dim, int spacedim = dim>
 using DoFHandler< dim, spacedim >::LevelSelector = ::internal::DoFHandlerImplementation::Iterators
private

Definition at line 319 of file dof_handler.h.

## ◆ level_cell_accessor

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

Definition at line 499 of file dof_handler.h.

## ◆ level_face_accessor

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

Definition at line 500 of file dof_handler.h.

## ◆ level_cell_iterator

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

Definition at line 502 of file dof_handler.h.

## ◆ level_face_iterator

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

Definition at line 503 of file dof_handler.h.

## ◆ active_fe_index_type

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

The type in which we store the active FE index.

Definition at line 529 of file dof_handler.h.

## ◆ offset_type

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

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

Definition at line 534 of file dof_handler.h.

## ◆ DoFHandler() [1/3]

template<int dim, int spacedim>
 DoFHandler< dim, spacedim >::DoFHandler ( )

Standard constructor, not initializing any data. After constructing an object with this constructor, use reinit() to get a valid DoFHandler.

Definition at line 2106 of file dof_handler.cc.

## ◆ DoFHandler() [2/3]

template<int dim, int spacedim>
 DoFHandler< dim, spacedim >::DoFHandler ( const Triangulation< dim, spacedim > & tria )
explicit

Constructor. Take tria as the triangulation to work on.

Definition at line 2115 of file dof_handler.cc.

## ◆ DoFHandler() [3/3]

template<int dim, int spacedim = dim>
 DoFHandler< dim, spacedim >::DoFHandler ( const DoFHandler< dim, spacedim > & )
delete

Copy constructor. DoFHandler objects are large and expensive. They should not be copied, in particular not by accident, but rather deliberately constructed. As a consequence, this constructor is explicitly removed from the interface of this class.

## ◆ ~DoFHandler()

template<int dim, int spacedim>
 DoFHandler< dim, spacedim >::~DoFHandler ( )
overridevirtual

Destructor.

Definition at line 2124 of file dof_handler.cc.

## ◆ operator=()

template<int dim, int spacedim = dim>
 DoFHandler& DoFHandler< dim, spacedim >::operator= ( const DoFHandler< dim, spacedim > & )
delete

Copy operator. DoFHandler objects are large and expensive. They should not be copied, in particular not by accident, but rather deliberately constructed. As a consequence, this operator is explicitly removed from the interface of this class.

## ◆ initialize() [1/2]

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

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

Deprecated:

Definition at line 2151 of file dof_handler.cc.

## ◆ initialize() [2/2]

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

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

Deprecated:

Definition at line 2161 of file dof_handler.cc.

## ◆ set_fe() [1/2]

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

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));
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:

Definition at line 2533 of file dof_handler.cc.

## ◆ set_fe() [2/2]

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

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

Deprecated:

Definition at line 2542 of file dof_handler.cc.

## ◆ set_active_fe_indices()

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

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

Definition at line 3121 of file dof_handler.cc.

## ◆ get_active_fe_indices()

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

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.

Definition at line 3142 of file dof_handler.cc.

## ◆ reinit()

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

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.

Definition at line 2172 of file dof_handler.cc.

## ◆ distribute_dofs() [1/2]

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

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().

Definition at line 2608 of file dof_handler.cc.

## ◆ distribute_dofs() [2/2]

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

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

Definition at line 2618 of file dof_handler.cc.

## ◆ distribute_mg_dofs()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::distribute_mg_dofs ( )

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.

Definition at line 2749 of file dof_handler.cc.

## ◆ has_hp_capabilities()

template<int dim, int spacedim = dim>
 bool DoFHandler< dim, spacedim >::has_hp_capabilities ( ) const

Returns whether this DoFHandler has hp-capabilities.

## ◆ has_level_dofs()

template<int dim, int spacedim = dim>
 bool DoFHandler< dim, spacedim >::has_level_dofs ( ) const

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()

template<int dim, int spacedim = dim>
 bool DoFHandler< dim, spacedim >::has_active_dofs ( ) const

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()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::initialize_local_block_info ( )

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.

Definition at line 2781 of file dof_handler.cc.

## ◆ clear()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::clear ( )

Clear all data of this object.

Definition at line 2815 of file dof_handler.cc.

## ◆ renumber_dofs() [1/2]

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

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.

Definition at line 2862 of file dof_handler.cc.

## ◆ renumber_dofs() [2/2]

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

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

Definition at line 2974 of file dof_handler.cc.

## ◆ max_couplings_between_dofs()

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

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 patterns.

Definition at line 3051 of file dof_handler.cc.

## ◆ max_couplings_between_boundary_dofs()

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

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 patterns).

Definition at line 3017 of file dof_handler.cc.

## ◆ begin()

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

Iterator to the first used cell on level level.

Definition at line 2212 of file dof_handler.cc.

## ◆ begin_active()

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

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)
{
...
}

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

Definition at line 2225 of file dof_handler.cc.

## ◆ end() [1/2]

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

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

Definition at line 2241 of file dof_handler.cc.

## ◆ end() [2/2]

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

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

Definition at line 2250 of file dof_handler.cc.

## ◆ end_active()

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

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().

Definition at line 2263 of file dof_handler.cc.

## ◆ begin_mg()

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

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

Definition at line 2276 of file dof_handler.cc.

## ◆ end_mg() [1/2]

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

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

Definition at line 2292 of file dof_handler.cc.

## ◆ end_mg() [2/2]

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

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

Definition at line 2308 of file dof_handler.cc.

## ◆ clear_space()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::clear_space ( )
private

Free all memory used for non-multigrid data structures.

Definition at line 2826 of file dof_handler.cc.

## ◆ clear_mg_space()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::clear_mg_space ( )
private

Free all memory used for multigrid data structures.

Definition at line 2846 of file dof_handler.cc.

## ◆ get_dof_index()

template<int dim, int spacedim>
template<int structdim>
 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
private

Return dof index of specified object.

Definition at line 3063 of file dof_handler.cc.

## ◆ set_dof_index()

template<int dim, int spacedim>
template<int structdim>
 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
private

Return dof index of specified object.

Definition at line 3091 of file dof_handler.cc.

## ◆ setup_policy()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::setup_policy ( )
private

Set up DoFHandler policy.

Definition at line 2792 of file dof_handler.cc.

## ◆ connect_to_triangulation_signals()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::connect_to_triangulation_signals ( )
private

Set up connections to signals of the underlying triangulation.

Definition at line 3159 of file dof_handler.cc.

## ◆ create_active_fe_table()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::create_active_fe_table ( )
private

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.

Definition at line 3251 of file dof_handler.cc.

## ◆ update_active_fe_table()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::update_active_fe_table ( )
private

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.

Definition at line 3302 of file dof_handler.cc.

## ◆ pre_transfer_action()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::pre_transfer_action ( )
private

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.

Definition at line 3340 of file dof_handler.cc.

## ◆ post_transfer_action()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::post_transfer_action ( )
private

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.

Definition at line 3421 of file dof_handler.cc.

## ◆ pre_distributed_transfer_action()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::pre_distributed_transfer_action ( )
private

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.

Definition at line 3354 of file dof_handler.cc.

## ◆ post_distributed_transfer_action()

template<int dim, int spacedim>
 void DoFHandler< dim, spacedim >::post_distributed_transfer_action ( )
private

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.

Definition at line 3444 of file dof_handler.cc.

## ◆ subscribe()

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

Subscribes a user of the object by storing the pointer validity. The subscriber may be identified by text supplied as identifier.

Definition at line 136 of file subscriptor.cc.

## ◆ unsubscribe()

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

Unsubscribes a user from the object.

Note
The identifier and the validity pointer must be the same as the one supplied to subscribe().

Definition at line 156 of file subscriptor.cc.

## ◆ n_subscriptions()

 unsigned int Subscriptor::n_subscriptions ( ) const
inlineinherited

Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.

Definition at line 301 of file subscriptor.h.

## ◆ list_subscribers() [1/2]

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

List the subscribers to the input stream.

Definition at line 318 of file subscriptor.h.

## ◆ list_subscribers() [2/2]

 void Subscriptor::list_subscribers ( ) const
inherited

List the subscribers to deallog`.

Definition at line 204 of file subscriptor.cc.

## ◆ ::DoFAccessor

template<int dim, int spacedim = dim>
template<int , int , int , bool >
 friend class ::DoFAccessor
friend

Definition at line 1795 of file dof_handler.h.

## ◆ ::DoFCellAccessor

template<int dim, int spacedim = dim>
template<int , int , bool >
 friend class ::DoFCellAccessor
friend

Definition at line 1797 of file dof_handler.h.

## ◆ ::internal::DoFAccessorImplementation::Implementation

template<int dim, int spacedim = dim>
 friend struct ::internal::DoFAccessorImplementation::Implementation
friend

Definition at line 1798 of file dof_handler.h.

## ◆ ::internal::DoFCellAccessorImplementation::Implementation

template<int dim, int spacedim = dim>
 friend struct ::internal::DoFCellAccessorImplementation::Implementation
friend

Definition at line 1799 of file dof_handler.h.

## ◆ ::internal::DoFHandlerImplementation::Implementation

template<int dim, int spacedim = dim>
 friend struct ::internal::DoFHandlerImplementation::Implementation
friend

Definition at line 1803 of file dof_handler.h.

## ◆ ::internal::hp::DoFHandlerImplementation::Implementation

template<int dim, int spacedim = dim>
 friend struct ::internal::hp::DoFHandlerImplementation::Implementation
friend

Definition at line 1804 of file dof_handler.h.

## ◆ ::internal::DoFHandlerImplementation::Policy::Implementation

template<int dim, int spacedim = dim>
 friend struct ::internal::DoFHandlerImplementation::Policy:: Implementation
friend

Definition at line 1806 of file dof_handler.h.

## ◆ dimension

template<int dim, int spacedim = dim>
 const unsigned int DoFHandler< dim, spacedim >::dimension = dim
static

Make the dimension available in function templates.

Definition at line 509 of file dof_handler.h.

## ◆ space_dimension

template<int dim, int spacedim = dim>
 const unsigned int DoFHandler< dim, spacedim >::space_dimension = spacedim
static

Make the space dimension available in function templates.

Definition at line 514 of file dof_handler.h.

## ◆ default_fe_index

template<int dim, int spacedim = dim>
 const unsigned int DoFHandler< dim, spacedim >::default_fe_index = 0
static

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

template<int dim, int spacedim = dim>
 const unsigned int DoFHandler< dim, spacedim >::invalid_fe_index = numbers::invalid_unsigned_int
static

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

template<int dim, int spacedim = dim>
 const DoFHandler< dim, spacedim >::active_fe_index_type DoFHandler< dim, spacedim >::invalid_active_fe_index
static
Initial value:
=
static_cast<active_fe_index_type>(-1)

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

template<int dim, int spacedim = dim>
 BlockInfo DoFHandler< dim, spacedim >::block_info_object
private

An object containing information on the block structure.

Definition at line 1531 of file dof_handler.h.

## ◆ hp_capability_enabled

template<int dim, int spacedim = dim>
 bool DoFHandler< dim, spacedim >::hp_capability_enabled
private

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

Definition at line 1537 of file dof_handler.h.

## ◆ tria

template<int dim, int spacedim = dim>
 SmartPointer, DoFHandler > DoFHandler< dim, spacedim >::tria
private

Address of the triangulation to work on.

Definition at line 1543 of file dof_handler.h.

## ◆ fe_collection

template<int dim, int spacedim = dim>
 hp::FECollection DoFHandler< dim, spacedim >::fe_collection
private

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

template<int dim, int spacedim = dim>
 std::unique_ptr<::internal::DoFHandlerImplementation::Policy:: PolicyBase > DoFHandler< dim, spacedim >::policy
private

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

Definition at line 1558 of file dof_handler.h.

## ◆ number_cache

template<int dim, int spacedim = dim>
 ::internal::DoFHandlerImplementation::NumberCache DoFHandler< dim, spacedim >::number_cache
private

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

template<int dim, int spacedim = dim>
 std::vector<::internal::DoFHandlerImplementation::NumberCache> DoFHandler< dim, spacedim >::mg_number_cache
private

Data structure like number_cache, but for each multigrid level.

Definition at line 1573 of file dof_handler.h.

## ◆ cell_dof_cache_indices

template<int dim, int spacedim = dim>
 std::vector > DoFHandler< dim, spacedim >::cell_dof_cache_indices
mutableprivate

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

template<int dim, int spacedim = dim>
 std::vector > DoFHandler< dim, spacedim >::cell_dof_cache_ptr
mutableprivate

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

template<int dim, int spacedim = dim>
 std::vector, dim + 1> > DoFHandler< dim, spacedim >::object_dof_indices
mutableprivate

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

template<int dim, int spacedim = dim>
 std::vector, dim + 1> > DoFHandler< dim, spacedim >::object_dof_ptr
mutableprivate

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 strucutre 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

template<int dim, int spacedim = dim>
 std::array, dim + 1> DoFHandler< dim, spacedim >::hp_object_fe_indices
mutableprivate

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

template<int dim, int spacedim = dim>
 std::array, dim + 1> DoFHandler< dim, spacedim >::hp_object_fe_ptr
mutableprivate

Pointer to the first FE index of a geometric object.

Definition at line 1619 of file dof_handler.h.

## ◆ hp_cell_active_fe_indices

template<int dim, int spacedim = dim>
 std::vector > DoFHandler< dim, spacedim >::hp_cell_active_fe_indices
mutableprivate

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

template<int dim, int spacedim = dim>
 std::vector > DoFHandler< dim, spacedim >::hp_cell_future_fe_indices
mutableprivate

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

template<int dim, int spacedim = dim>
 std::vector DoFHandler< dim, spacedim >::mg_vertex_dofs
private

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

template<int dim, int spacedim = dim>
 std::vector< std::unique_ptr<::internal::DoFHandlerImplementation::DoFLevel > > DoFHandler< dim, spacedim >::mg_levels
private

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

Definition at line 1646 of file dof_handler.h.

## ◆ mg_faces

template<int dim, int spacedim = dim>
 std::unique_ptr<::internal::DoFHandlerImplementation::DoFFaces > DoFHandler< dim, spacedim >::mg_faces
private

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

Definition at line 1652 of file dof_handler.h.

## ◆ active_fe_index_transfer

template<int dim, int spacedim = dim>
 std::unique_ptr DoFHandler< dim, spacedim >::active_fe_index_transfer
private

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

template<int dim, int spacedim = dim>
 std::vector DoFHandler< dim, spacedim >::tria_listeners
private

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

template<int dim, int spacedim = dim>
 std::vector DoFHandler< dim, spacedim >::tria_listeners_for_transfer
private

A list of connections with which this object connects to the triangulation. They get triggered specifially 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 files: