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// $Id: dof_handler.h 31932 2013-12-08 02:15:54Z heister $
//
// Copyright (C) 1998 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__dof_handler_h
#define __deal2__dof_handler_h
#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/base/index_set.h>
#include <deal.II/base/std_cxx1x/shared_ptr.h>
#include <deal.II/dofs/block_info.h>
#include <deal.II/dofs/dof_iterator_selector.h>
#include <deal.II/dofs/number_cache.h>
#include <deal.II/dofs/function_map.h>
#include <boost/serialization/split_member.hpp>
#include <vector>
#include <map>
#include <set>
DEAL_II_NAMESPACE_OPEN
namespace internal
{
namespace DoFHandler
{
template <int dim> class DoFLevel;
template <int dim> class DoFFaces;
struct Implementation;
namespace Policy
{
template <int dim, int spacedim> class PolicyBase;
struct Implementation;
}
}
namespace DoFAccessor
{
struct Implementation;
}
namespace DoFCellAccessor
{
struct Implementation;
}
}
/**
* Manage the distribution and numbering of the degrees of freedom for
* non-multigrid algorithms. The purpose of this class is first discussed
* in the step-2 tutorial program.
*
* For each vertex, line, quad, etc, we store 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 dealii::internal::DoFHandler::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 <tt>++</tt> and <tt>--</tt> operators is the same as that
* for the corresponding iterators traversing the triangulation on which this
* DoFHandler is constructed.
*
* The <tt>spacedim</tt> parameter has to be used if one wants to
* solve problems on surfaces. If not specified, this parameter takes
* the default value <tt>=dim</tt> implying that we want to solve
* problems in a domain whose dimension equals the dimension of the
* space in which it is embedded.
*
*
* <h3>Distribution of indices for degrees of freedom</h3>
*
* 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 bandwiths 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.
*
*
* <h3>Interaction with distributed meshes</h3>
*
* 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 @ref distributed 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.
*
*
* <h3>User defined renumbering schemes</h3>
*
* The DoFRenumbering class offers a number of renumbering schemes like the
* Cuthill-McKey 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 her 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
* <tt>renumber_dofs(vector<types::global_dof_index>)</tt> function with the array, which
* converts old into new degree of freedom indices.
*
*
* <h3>Serializing (loading or storing) DoFHandler objects</h3>
*
* 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.
*
* @ingroup dofs
* @author Wolfgang Bangerth, Markus Buerg, Timo Heister, Guido Kanschat,
* @date 1998, 1999, 2000, 2012
*/
template <int dim, int spacedim=dim>
class DoFHandler : public Subscriptor
{
typedef dealii::internal::DoFHandler::Iterators<DoFHandler<dim,spacedim>, false> ActiveSelector;
typedef dealii::internal::DoFHandler::Iterators<DoFHandler<dim,spacedim>, true> LevelSelector;
public:
typedef typename ActiveSelector::CellAccessor cell_accessor;
typedef typename ActiveSelector::FaceAccessor face_accessor;
typedef typename ActiveSelector::line_iterator line_iterator;
typedef typename ActiveSelector::active_line_iterator active_line_iterator;
typedef typename ActiveSelector::quad_iterator quad_iterator;
typedef typename ActiveSelector::active_quad_iterator active_quad_iterator;
typedef typename ActiveSelector::hex_iterator hex_iterator;
typedef typename ActiveSelector::active_hex_iterator active_hex_iterator;
typedef typename ActiveSelector::active_cell_iterator active_cell_iterator;
typedef typename ActiveSelector::face_iterator face_iterator;
typedef typename ActiveSelector::active_face_iterator active_face_iterator;
typedef typename LevelSelector::CellAccessor level_cell_accessor;
typedef typename LevelSelector::FaceAccessor level_face_accessor;
typedef typename LevelSelector::cell_iterator level_cell_iterator;
typedef typename LevelSelector::face_iterator level_face_iterator;
typedef typename ActiveSelector::cell_iterator cell_iterator;
/**
* Alias the @p FunctionMap type
* declared elsewhere.
*/
typedef typename dealii::FunctionMap<spacedim>::type FunctionMap;
/**
* Make the dimension available
* in function templates.
*/
static const unsigned int dimension = dim;
/**
* Make the space dimension available
* in function templates.
*/
static const unsigned int space_dimension = spacedim;
/**
* When the arrays holding the
* DoF indices are set up, but
* before they are filled with
* actual values, they are set to
* an invalid value, in order to
* monitor possible
* problems. This invalid value
* is the constant defined here.
*
* Please note that you should
* not rely on it having a
* certain value, but rather take
* its symbolic name.
*/
static const types::global_dof_index invalid_dof_index = numbers::invalid_dof_index;
/**
* The default index of the
* finite element to be used on a
* given cell. Since the present
* class only supports the same
* finite element to be used on
* all cells, the index of the
* finite element needs to be the
* same on all cells anyway, and
* by convention we pick zero for
* this value. The situation is
* different for hp objects
* (i.e. the hp::DoFHandler
* class) where different finite
* element indices may be used on
* different cells, and the
* default index there
* corresponds to an invalid
* value.
*/
static const unsigned int default_fe_index = 0;
/**
* Standard constructor, not
* initializing any data. After
* constructing an object with
* this constructor, use
* initialize() to make a valid
* DoFHandler.
*/
DoFHandler ();
/**
* Constructor. Take @p tria as the
* triangulation to work on.
*/
DoFHandler ( const Triangulation<dim,spacedim> &tria);
/**
* Destructor.
*/
virtual ~DoFHandler ();
/**
* Assign a Triangulation and a
* FiniteElement to the
* DoFHandler and compute the
* distribution of degrees of
* freedom over the mesh.
*/
void initialize(const Triangulation<dim,spacedim> &tria,
const FiniteElement<dim,spacedim> &fe);
/**
* Go through the triangulation and "distribute" the degrees of
* freedoms needed for the given finite element. "Distributing"
* degrees of freedom involved allocating memory to store the
* information that describes it (e.g., whether it is located on a
* vertex, edge, face, etc) and to sequentially 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 purpose of this function
* is first discussed in the introduction
* to the step-2 tutorial program.
*
* @note A pointer of the finite element given as argument is
* stored. Therefore, the lifetime of the finite element object
* shall be longer than that of this object. If you don't want this
* behavior, you may want to call the @p clear member function which
* also releases the lock of this object to the finite element.
*/
virtual void distribute_dofs (const FiniteElement<dim,spacedim> &fe);
/**
* Distribute multigrid degrees of freedom similar
* to distribute_dofs() but on each level.
* This replaces the functionality of the old MGDoFHandler.
*/
virtual void distribute_mg_dofs (const FiniteElement<dim, spacedim> &fe);
/**
* 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 has_level_dofs() const;
/**
* This function returns whether
* this DoFHandler has active
* DoFs or in other words if
* distribute_dofs() has been
* called.
*/
bool has_active_dofs() const;
/**
* 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 initialize_local_block_info();
/**
* Clear all data of this object and
* especially delete the lock this object
* has to the finite element used the last
* time when @p distribute_dofs was called.
*/
virtual void clear ();
/**
* Renumber degrees of freedom based on
* a list of new dof numbers for all the
* dofs.
*
* This function is called by
* the functions in
* DoFRenumbering function
* after computing the ordering
* of the degrees of freedom.
* This function is called, for
* example, by the functions in
* the DoFRenumbering
* namespace, but it can of
* course also be called from
* user code.
*
* @arg 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::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 <code>i</code> is
* currently locally owned,
* then
* <code>new_numbers[locally_owned_dofs().index_within_set(i)]</code>
* returns the new global DoF
* index of
* <code>i</code>. 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.
*/
void renumber_dofs (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.
*/
void renumber_dofs (const unsigned int level,
const std::vector<types::global_dof_index> &new_numbers);
/**
* 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 @ref Sparsity.
*/
unsigned int max_couplings_between_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 @ref Sparsity).
*/
unsigned int max_couplings_between_boundary_dofs () const;
/*--------------------------------------*/
/**
* @name Cell iterator functions
*/
/*@{*/
/**
* Iterator to the first used
* cell on level @p level.
*/
cell_iterator begin (const unsigned int level = 0) const;
/**
* Iterator to the first active cell on level @p 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
* <code>end_active(level)</code> so that loops of the kind
* @code
* for (cell=dof_handler.begin_active(level); cell!=dof_handler.end_active(level); ++cell)
* ...
* @endcode
* have zero iterations, as may be expected if there are no active
* cells on this level.
*/
active_cell_iterator begin_active(const unsigned int level = 0) const;
/**
* Iterator past the end; this
* iterator serves for
* comparisons of iterators with
* past-the-end or
* before-the-beginning states.
*/
cell_iterator end () const;
/**
* Return an iterator which is the first
* iterator not on the given level. If @p level is
* the last level, then this returns
* <tt>end()</tt>.
*/
cell_iterator end (const unsigned int level) const;
/**
* Return an active iterator which is the first active iterator not
* on the given level. If @p level is the last level, then this
* returns <tt>end()</tt>.
*/
active_cell_iterator end_active (const unsigned int level) const;
/**
* Iterator to the first used
* cell on level @p level. This returns a level_cell_iterator
* that returns level dofs when dof_indices() is called.
*/
level_cell_iterator begin_mg (const unsigned int level = 0) const;
/**
* Iterator past the last
* cell on level @p level. This returns a level_cell_iterator
* that returns level dofs when dof_indices() is called.
*/
level_cell_iterator end_mg (const unsigned int level) const;
/**
* Iterator past the end; this
* iterator serves for
* comparisons of iterators with
* past-the-end or
* before-the-beginning states.
*/
level_cell_iterator end_mg () 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 @ref constraints.
*/
types::global_dof_index n_dofs () 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 n_dofs (const unsigned int level) const;
/**
* Return the number of degrees of freedom
* located on the boundary.
*/
types::global_dof_index n_boundary_dofs () 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
* reason that a @p map rather
* than a @p set is used is the
* same as described in the
* section on the
* @p make_boundary_sparsity_pattern
* function.
*/
types::global_dof_index
n_boundary_dofs (const FunctionMap &boundary_indicators) const;
/**
* Same function, but with
* different data type of the
* argument, which is here simply
* a list of the boundary
* indicators under
* consideration.
*/
types::global_dof_index
n_boundary_dofs (const std::set<types::boundary_id> &boundary_indicators) 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 @ref GlossBlock
* "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. In an
* MGDoFHandler, the same is done
* on each level. Additionally,
* the block structure on each
* cell can be generated in this
* object by calling
* initialize_local_block_info().
*/
const BlockInfo &block_info() const;
/**
* Return the number of
* degrees of freedom that
* belong to this
* process.
*
* If this is a sequential job,
* then the result equals that
* produced by n_dofs(). On the
* other hand, if we are
* operating on a
* parallel::distributed::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.
*/
unsigned int n_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 &locally_owned_dofs() const;
/**
* Returns an IndexSet describing the set of locally
* owned DoFs used for the given multigrid level as
* a subset of 0..n_dofs(level).
*/
const IndexSet &locally_owned_mg_dofs(const unsigned int level) const;
/**
* Returns a vector that
* stores the locally owned
* DoFs of each processor. If
* you are only interested in
* the number of elements
* each processor owns then
* n_locally_owned_dofs_per_processor() is
* a better choice.
*
* If this is a sequential job,
* then the vector has a single
* element that equals the
* IndexSet representing the
* entire range [0,n_dofs()].
*/
const std::vector<IndexSet> &
locally_owned_dofs_per_processor () const;
const std::vector<IndexSet> &
locally_owned_mg_dofs_per_processor (const unsigned int level) 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.
*
* Each element of the vector
* returned by this function
* equals the number of
* elements of the
* corresponding sets
* returned by
* global_dof_indices().
*
* If this is a sequential job,
* then the vector has a single
* element equal to n_dofs().
*/
const std::vector<types::global_dof_index> &
n_locally_owned_dofs_per_processor () const;
/**
* Return a constant reference to
* the selected finite element
* object.
*/
const FiniteElement<dim,spacedim> &get_fe () const;
/**
* Return a constant reference to
* the triangulation underlying
* this object.
*/
const Triangulation<dim,spacedim> &get_tria () const;
/**
* 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.
*/
virtual std::size_t memory_consumption () const;
/**
* Write the data of this object to a
* stream for the purpose of
* serialization.
*/
template <class Archive>
void save (Archive &ar, const unsigned int version) const;
/**
* Read the data of this object from a
* stream for the purpose of
* serialization.
*/
template <class Archive>
void load (Archive &ar, const unsigned int version);
BOOST_SERIALIZATION_SPLIT_MEMBER()
/**
* We are trying to renumber the
* degrees of freedom, but
* somehow did not count
* correctly.
*
* @ingroup Exceptions
*/
DeclException0 (ExcRenumberingIncomplete);
/**
* Exception
* @ingroup Exceptions
*/
DeclException0 (ExcGridsDoNotMatch);
/**
* Exception
* @ingroup Exceptions
*/
DeclException0 (ExcInvalidBoundaryIndicator);
/**
* Exception
* @ingroup Exceptions
*/
DeclException1 (ExcNewNumbersNotConsecutive,
types::global_dof_index,
<< "The given list of new dof indices is not consecutive: "
<< "the index " << arg1 << " does not exist.");
/**
* Exception
* @ingroup Exceptions
*/
DeclException1 (ExcInvalidLevel,
int,
<< "The given level " << arg1
<< " is not in the valid range!");
/**
* Exception
* @ingroup Exceptions
*/
DeclException0 (ExcFacesHaveNoLevel);
/**
* The triangulation level you
* accessed is empty.
* @ingroup Exceptions
*/
DeclException1 (ExcEmptyLevel,
int,
<< "You tried to do something on level " << arg1
<< ", but this level is empty.");
protected:
/**
* The object containing
* information on the block structure.
*/
BlockInfo block_info_object;
/**
* Array to store the indices for
* degrees of freedom located at
* vertices.
*/
std::vector<types::global_dof_index> vertex_dofs;
/**
* Address of the triangulation to
* work on.
*/
SmartPointer<const Triangulation<dim,spacedim>,DoFHandler<dim,spacedim> >
tria;
/**
* Store a pointer to the finite element
* given latest for the distribution of
* dofs. In order to avoid destruction of
* the object before the lifetime of
* the DoF handler, we subscribe to
* the finite element object. To unlock
* the FE before the end of the lifetime
* of this DoF handler, use the <tt>clear()</tt>
* function (this clears all data of
* this object as well, though).
*/
SmartPointer<const FiniteElement<dim,spacedim>,DoFHandler<dim,spacedim> >
selected_fe;
/**
* An object that describes how degrees
* of freedom should be distributed and
* renumbered.
*/
std_cxx1x::shared_ptr<dealii::internal::DoFHandler::Policy::PolicyBase<dim,spacedim> > policy;
/**
* 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.
*/
dealii::internal::DoFHandler::NumberCache number_cache;
/**
* Datastructure like number_cache, but for each Multigrid level.
*/
std::vector<dealii::internal::DoFHandler::NumberCache> mg_number_cache;
private:
/**
* Copy constructor. I can see no reason
* why someone might want to use it, so
* I don't provide it. Since this class
* has pointer members, making it private
* prevents the compiler to provide it's
* own, incorrect one if anyone chose to
* copy such an object.
*/
DoFHandler (const DoFHandler &);
/**
* Copy operator. I can see no reason
* why someone might want to use it, so
* I don't provide it. Since this class
* has pointer members, making it private
* prevents the compiler to provide it's
* own, incorrect one if anyone chose to
* copy such an object.
*/
DoFHandler &operator = (const DoFHandler &);
/**
* A data structure that is used to store the DoF indices associated with
* a particular vertex. Unlike cells, vertices live on several levels of
* a multigrid hierarchy; consequently, we need to store DoF indices for
* each vertex for each of the levels it lives on. This class does
* this.
*/
class MGVertexDoFs
{
public:
/**
* Constructor.
*/
MGVertexDoFs ();
/**
* Destructor.
*/
~MGVertexDoFs ();
/**
* A function that is called to allocate the necessary amount of memory
* to store the indices of the DoFs that live on this vertex for the
* given (inclusive) range of levels.
*/
void init (const unsigned int coarsest_level,
const unsigned int finest_level,
const unsigned int dofs_per_vertex);
/**
* Return the coarsest level for which this structure
* stores data.
*/
unsigned int get_coarsest_level () const;
/**
* Return the finest level for which this structure
* stores data.
*/
unsigned int get_finest_level () const;
/**
* Return the index of the <code>dof_number</code>th degree of
* freedom for the given level stored for the current vertex.
*/
types::global_dof_index
get_index (const unsigned int level,
const unsigned int dof_number) const;
/**
* Set the index of the <code>dof_number</code>th degree of
* freedom for the given level stored for the current vertex
* to <code>index</code>.
*/
void set_index (const unsigned int level,
const unsigned int dof_number,
const types::global_dof_index index);
/**
* Exception.
*/
DeclException0 (ExcNoMemory);
private:
/**
* Coarsest level for which this object stores DoF indices.
*/
unsigned int coarsest_level;
/**
* Finest level for which this object stores DoF indices.
*/
unsigned int finest_level;
/**
* A pointer to an array where we store the indices of the
* DoFs that live on the various levels this vertex exists
* on.
*/
types::global_dof_index *indices;
/**
* This array stores, for each level starting with coarsest_level,
* the offset in the <code>indices</code> array where the DoF
* indices for each level are stored.
*/
types::global_dof_index *indices_offset;
};
void clear_mg_space ();
/**
* Free all used memory.
*/
void clear_space ();
void reserve_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;
/**
* Space to store the DoF numbers
* for the different
* levels. Analogous to the
* <tt>levels[]</tt> tree of the
* Triangulation objects.
*/
std::vector<dealii::internal::DoFHandler::DoFLevel<dim>*> levels;
std::vector<dealii::internal::DoFHandler::DoFLevel<dim>*> mg_levels;
/**
* Space to store DoF numbers of
* faces. They are not stored in
* <tt>levels</tt> since faces
* are not organized
* hierarchically, but in a flat
* array.
*/
dealii::internal::DoFHandler::DoFFaces<dim> *faces;
dealii::internal::DoFHandler::DoFFaces<dim> *mg_faces;
std::vector<MGVertexDoFs> mg_vertex_dofs;
/**
* Make accessor objects friends.
*/
template <int, class, bool> friend class DoFAccessor;
template <class, bool> friend class DoFCellAccessor;
friend struct dealii::internal::DoFAccessor::Implementation;
friend struct dealii::internal::DoFCellAccessor::Implementation;
friend struct dealii::internal::DoFHandler::Implementation;
friend struct dealii::internal::DoFHandler::Policy::Implementation;
};
/* -------------- declaration of explicit specializations ------------- */
#ifndef DOXYGEN
template <> types::global_dof_index DoFHandler<1>::n_boundary_dofs () const;
template <> types::global_dof_index DoFHandler<1>::n_boundary_dofs (const FunctionMap &) const;
template <> types::global_dof_index DoFHandler<1>::n_boundary_dofs (const std::set<types::boundary_id> &) const;
template <> void DoFHandler<1>::renumber_dofs(unsigned int,const std::vector<types::global_dof_index> &new_numbers);
template <> void DoFHandler<2>::renumber_dofs(unsigned int,const std::vector<types::global_dof_index> &new_numbers);
template <> void DoFHandler<3>::renumber_dofs(unsigned int,const std::vector<types::global_dof_index> &new_numbers);
/* ----------------------- Inline functions ---------------------------------- */
template <int dim, int spacedim>
inline
bool
DoFHandler<dim,spacedim>::has_level_dofs() const
{
return mg_number_cache.size()>0;
}
template <int dim, int spacedim>
inline
bool
DoFHandler<dim,spacedim>::has_active_dofs() const
{
return number_cache.n_global_dofs>0;
}
template <int dim, int spacedim>
inline
types::global_dof_index
DoFHandler<dim,spacedim>::n_dofs () const
{
return number_cache.n_global_dofs;
}
template<int dim, int spacedim>
inline
types::global_dof_index DoFHandler<dim, spacedim>::n_dofs (const unsigned int level) const
{
Assert(has_level_dofs(), ExcMessage("n_dofs(level) can only be called after distribute_mg_dofs()"));
Assert (level < mg_number_cache.size (), ExcInvalidLevel (level));
return mg_number_cache[level].n_global_dofs;
}
template <int dim, int spacedim>
unsigned int
DoFHandler<dim, spacedim>::n_locally_owned_dofs() const
{
return number_cache.n_locally_owned_dofs;
}
template <int dim, int spacedim>
const IndexSet &
DoFHandler<dim, spacedim>::locally_owned_dofs() const
{
return number_cache.locally_owned_dofs;
}
template <int dim, int spacedim>
const IndexSet &
DoFHandler<dim, spacedim>::locally_owned_mg_dofs(const unsigned int level) const
{
Assert(level < this->get_tria().n_global_levels(), ExcMessage("invalid level in locally_owned_mg_dofs"));
return mg_number_cache[level].locally_owned_dofs;
}
template <int dim, int spacedim>
const std::vector<types::global_dof_index> &
DoFHandler<dim, spacedim>::n_locally_owned_dofs_per_processor() const
{
return number_cache.n_locally_owned_dofs_per_processor;
}
template <int dim, int spacedim>
const std::vector<IndexSet> &
DoFHandler<dim, spacedim>::locally_owned_dofs_per_processor () const
{
return number_cache.locally_owned_dofs_per_processor;
}
template <int dim, int spacedim>
const std::vector<IndexSet> &
DoFHandler<dim, spacedim>::locally_owned_mg_dofs_per_processor (const unsigned int level) const
{
Assert(level < this->get_tria().n_global_levels(), ExcMessage("invalid level in locally_owned_mg_dofs_per_processor"));
return mg_number_cache[level].locally_owned_dofs_per_processor;
}
template <int dim, int spacedim>
inline
const FiniteElement<dim,spacedim> &
DoFHandler<dim,spacedim>::get_fe () const
{
Assert(selected_fe!=0, ExcNotInitialized());
return *selected_fe;
}
template <int dim, int spacedim>
inline
const Triangulation<dim,spacedim> &
DoFHandler<dim,spacedim>::get_tria () const
{
Assert(tria != 0, ExcNotInitialized());
return *tria;
}
template <int dim, int spacedim>
inline
const BlockInfo &
DoFHandler<dim,spacedim>::block_info () const
{
return block_info_object;
}
namespace internal
{
/**
* returns a string representing the dynamic type of the given argument. This is
* basically the same what typeid(...).name() does, but it turns out this is broken
* on Intel 13+.
*
* Defined in dof_handler.cc.
*/
template<int dim, int spacedim>
std::string policy_to_string(const dealii::internal::DoFHandler::Policy::PolicyBase<dim,spacedim> &policy);
}
template <int dim, int spacedim>
template <class Archive>
void DoFHandler<dim,spacedim>::save (Archive &ar,
const unsigned int) const
{
ar &block_info_object;
ar &vertex_dofs;
ar &number_cache;
ar &levels;
ar &faces;
// write out the number of triangulation cells and later check
// during loading that this number is indeed correct; same with something that
// identifies the FE and the policy
unsigned int n_cells = tria->n_cells();
std::string fe_name = selected_fe->get_name();
std::string policy_name = internal::policy_to_string(*policy);
ar &n_cells &fe_name &policy_name;
}
template <int dim, int spacedim>
template <class Archive>
void DoFHandler<dim,spacedim>::load (Archive &ar,
const unsigned int)
{
ar &block_info_object;
ar &vertex_dofs;
ar &number_cache;
// boost::serialization can restore pointers just fine, but if the
// pointer object still points to something useful, that object is
// not destroyed and we end up with a memory leak. consequently,
// first delete previous content before re-loading stuff
for (unsigned int i=0; i<levels.size(); ++i)
delete levels[i];
levels.resize (0);
delete faces;
faces = 0;
ar &levels;
ar &faces;
// these are the checks that correspond to the last block in the save() function
unsigned int n_cells;
std::string fe_name;
std::string policy_name;
ar &n_cells &fe_name &policy_name;
AssertThrow (n_cells == tria->n_cells(),
ExcMessage ("The object being loaded into does not match the triangulation "
"that has been stored previously."));
AssertThrow (fe_name == selected_fe->get_name(),
ExcMessage ("The finite element associated with this DoFHandler does not match "
"the one that was associated with the DoFHandler previously stored."));
AssertThrow (policy_name == internal::policy_to_string(*policy),
ExcMessage (std::string ("The policy currently associated with this DoFHandler (")
+ internal::policy_to_string(*policy)
+std::string(") does not match the one that was associated with the "
"DoFHandler previously stored (")
+ policy_name
+ ")."));
}
template<int dim, int spacedim>
inline
types::global_dof_index DoFHandler<dim, spacedim>::MGVertexDoFs::get_index (
const unsigned int level,
const unsigned int dof_number) const
{
Assert ((level >= coarsest_level) && (level <= finest_level), ExcInvalidLevel (level));
return indices[indices_offset[level - coarsest_level] + dof_number];
}
template<int dim, int spacedim>
inline
void DoFHandler<dim, spacedim>::MGVertexDoFs::set_index (
const unsigned int level,
const unsigned int dof_number,
const types::global_dof_index index)
{
Assert ((level >= coarsest_level) && (level <= finest_level), ExcInvalidLevel (level));
indices[indices_offset[level - coarsest_level] + dof_number] = index;
}
#endif // DOXYGEN
DEAL_II_NAMESPACE_CLOSE
#endif
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