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Reference documentation for deal.II version 9.3.3
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Reference documentation for deal.II version 9.3.3
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#include <deal.II/dofs/dof_handler.h>
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 | quad_iterator = typename ActiveSelector::quad_iterator |
| using | active_quad_iterator = typename ActiveSelector::active_quad_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 |
| DoFHandler & | operator= (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 |
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 > |
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 int > | counter |
| std::map< std::string, unsigned int > | counter_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 ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| void | check_no_subscribers () const noexcept |
| static std::mutex | mutex |
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.
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.
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.
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.
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:
Strategies for automatic hp-adaptation which will set future FE indices based on criteria are available in the hp::Refinement namespace.
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.
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private |
Definition at line 316 of file dof_handler.h.
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private |
Definition at line 318 of file dof_handler.h.
| using DoFHandler< dim, spacedim >::level_cell_accessor = typename LevelSelector::CellAccessor |
Definition at line 499 of file dof_handler.h.
| using DoFHandler< dim, spacedim >::level_face_accessor = typename LevelSelector::FaceAccessor |
Definition at line 500 of file dof_handler.h.
| using DoFHandler< dim, spacedim >::level_cell_iterator = typename LevelSelector::cell_iterator |
Definition at line 502 of file dof_handler.h.
| using DoFHandler< dim, spacedim >::level_face_iterator = typename LevelSelector::face_iterator |
Definition at line 503 of file dof_handler.h.
| 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.
| 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< dim, spacedim >::DoFHandler | ( | ) |
Standard constructor, not initializing any data. After constructing an object with this constructor, use reinit() to get a valid DoFHandler.
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explicit |
Constructor. Take tria as the triangulation to work on.
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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.
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overridevirtual |
Destructor.
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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.
| 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.
| 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.
| void DoFHandler< dim, spacedim >::set_fe | ( | const FiniteElement< dim, spacedim > & | fe | ) |
Assign a FiniteElement fe to this object.
| void DoFHandler< dim, spacedim >::set_fe | ( | const hp::FECollection< dim, spacedim > & | fe | ) |
Same as above but taking an hp::FECollection object.
| 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.
| 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.
| 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.
| 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.
| void DoFHandler< dim, spacedim >::distribute_dofs | ( | const hp::FECollection< dim, spacedim > & | fe | ) |
Same as above but taking an hp::FECollection object.
| 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.
| bool DoFHandler< dim, spacedim >::has_hp_capabilities | ( | ) | const |
Returns whether this DoFHandler has hp-capabilities.
| 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.
| 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.
| 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.
| void DoFHandler< dim, spacedim >::clear | ( | ) |
Clear all data of this object.
| 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.
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.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. | 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.
| 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.
| 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.
| cell_iterator DoFHandler< dim, spacedim >::begin | ( | const unsigned int | level = 0 | ) | const |
Iterator to the first used cell on level level.
| 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
have zero iterations, as may be expected if there are no active cells on this level.
| 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.
| 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().
| 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().
| 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.
| 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.
| 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.
| types::global_dof_index DoFHandler< dim, spacedim >::n_dofs | ( | ) | const |
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.
| types::global_dof_index DoFHandler< dim, spacedim >::n_dofs | ( | const unsigned int | level | ) | const |
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.
| types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs | ( | ) | const |
Return the number of locally owned degrees of freedom located on the boundary.
| types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs | ( | const std::map< types::boundary_id, const Function< spacedim, number > * > & | boundary_ids | ) | const |
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).
| types::global_dof_index DoFHandler< dim, spacedim >::n_boundary_dofs | ( | const std::set< types::boundary_id > & | boundary_ids | ) | const |
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
| const BlockInfo & DoFHandler< dim, spacedim >::block_info | ( | ) | const |
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().
| types::global_dof_index DoFHandler< dim, spacedim >::n_locally_owned_dofs | ( | ) | const |
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.
| const IndexSet & DoFHandler< dim, spacedim >::locally_owned_dofs | ( | ) | const |
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().
| const IndexSet & DoFHandler< dim, spacedim >::locally_owned_mg_dofs | ( | const unsigned int | level | ) | const |
Return an IndexSet describing the set of locally owned DoFs used for the given multigrid level as a subset of 0..n_dofs(level).
| const std::vector< IndexSet > & DoFHandler< dim, spacedim >::locally_owned_dofs_per_processor | ( | ) | const |
Return a vector that stores the locally owned DoFs of each processor.
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. | const std::vector< types::global_dof_index > & DoFHandler< dim, spacedim >::n_locally_owned_dofs_per_processor | ( | ) | const |
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.
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. | const std::vector< IndexSet > & DoFHandler< dim, spacedim >::locally_owned_mg_dofs_per_processor | ( | const unsigned int | level | ) | const |
Return a vector that stores the locally owned DoFs of each processor on the given level level.
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. | const FiniteElement< dim, spacedim > & DoFHandler< dim, spacedim >::get_fe | ( | const unsigned int | index = 0 | ) | const |
Return a constant reference to the indexth finite element object that is used by this object.
| const hp::FECollection< dim, spacedim > & DoFHandler< dim, spacedim >::get_fe_collection | ( | ) | const |
Return a constant reference to the set of finite element objects that are used by this object.
| const Triangulation< dim, spacedim > & DoFHandler< dim, spacedim >::get_triangulation | ( | ) | const |
Return a constant reference to the triangulation underlying this object.
| MPI_Comm DoFHandler< dim, spacedim >::get_communicator | ( | ) | const |
Return MPI communicator used by the underlying triangulation.
| void DoFHandler< dim, spacedim >::prepare_for_serialization_of_active_fe_indices | ( | ) |
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.
| void DoFHandler< dim, spacedim >::deserialize_active_fe_indices | ( | ) |
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.
|
virtual |
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.
| void DoFHandler< dim, spacedim >::save | ( | Archive & | ar, |
| const unsigned int | version | ||
| ) | const |
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 | ||
| ) |
Read the data of this object from a stream for the purpose of serialization using the BOOST serialization library.
| void DoFHandler< dim, spacedim >::serialize | ( | Archive & | archive, |
| const unsigned int | version | ||
| ) |
Write and read the data of this object from a stream for the purpose of serialization using the BOOST serialization library.
|
private |
Free all memory used for non-multigrid data structures.
|
private |
Free all memory used for multigrid data structures.
|
private |
Return dof index of specified object.
|
private |
Return dof index of specified object.
|
private |
Set up DoFHandler policy.
|
private |
Set up connections to signals of the underlying triangulation.
|
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.
|
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.
|
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.
|
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.
|
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.
|
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.
|
friend |
Definition at line 1795 of file dof_handler.h.
|
friend |
Definition at line 1797 of file dof_handler.h.
|
friend |
Definition at line 1798 of file dof_handler.h.
|
friend |
Definition at line 1799 of file dof_handler.h.
|
friend |
Definition at line 1803 of file dof_handler.h.
|
friend |
Definition at line 1804 of file dof_handler.h.
|
friend |
Definition at line 1805 of file dof_handler.h.
|
static |
Make the dimension available in function templates.
Definition at line 509 of file dof_handler.h.
|
static |
Make the space dimension available in function templates.
Definition at line 514 of file dof_handler.h.
|
static |
The default index of the finite element to be used on a given cell.
Definition at line 519 of file dof_handler.h.
|
static |
Invalid index of the finite element to be used on a given cell.
Definition at line 524 of file dof_handler.h.
|
static |
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.
|
private |
An object containing information on the block structure.
Definition at line 1531 of file dof_handler.h.
|
private |
Boolean indicating whether or not the current DoFHandler has hp- capabilities.
Definition at line 1537 of file dof_handler.h.
|
private |
Address of the triangulation to work on.
Definition at line 1543 of file dof_handler.h.
|
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.
|
private |
An object that describes how degrees of freedom should be distributed and renumbered.
Definition at line 1558 of file dof_handler.h.
|
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.
|
private |
Data structure like number_cache, but for each multigrid level.
Definition at line 1573 of file dof_handler.h.
|
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.
|
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.
|
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.
|
mutableprivate |
Pointer to the first cached degree of freedom of a geometric object for all relevant active finite elements.
Definition at line 1606 of file dof_handler.h.
|
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.
|
mutableprivate |
Pointer to the first FE index of a geometric object.
Definition at line 1619 of file dof_handler.h.
|
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.
|
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.
|
private |
An array to store the indices for level degrees of freedom located at vertices.
Definition at line 1639 of file dof_handler.h.
|
private |
Space to store the DoF numbers for the different multigrid levels.
Definition at line 1646 of file dof_handler.h.
|
private |
Space to store DoF numbers of faces in the multigrid context.
Definition at line 1652 of file dof_handler.h.
|
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.
|
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.
|
private |
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.
1.9.4