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// $Id: dof_handler.h 31932 2013-12-08 02:15:54Z heister $
//
// Copyright (C) 2005 - 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__hp_dof_handler_h
#define __deal2__hp_dof_handler_h
#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/template_constraints.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/dofs/function_map.h>
#include <deal.II/dofs/dof_iterator_selector.h>
#include <deal.II/dofs/number_cache.h>
#include <deal.II/hp/fe_collection.h>
#include <vector>
#include <map>
#include <set>
DEAL_II_NAMESPACE_OPEN
namespace internal
{
namespace hp
{
class DoFLevel;
template <int> class DoFIndicesOnFaces;
template <int> class DoFIndicesOnFacesOrEdges;
namespace DoFHandler
{
struct Implementation;
}
}
}
namespace internal
{
namespace DoFAccessor
{
struct Implementation;
}
namespace DoFCellAccessor
{
struct Implementation;
}
}
namespace hp
{
/**
* Manage the distribution and numbering of the degrees of freedom for
* hp-FEM algorithms.
*
* This class has not yet been implemented for the use in the codimension
* one case (<tt>spacedim != dim </tt>).
*
* @ingroup dofs
* @ingroup hp
*/
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 level_cell_iterator cell_iterator;
/**
* Alias the @p FunctionMap type
* declared elsewhere.
*/
typedef typename 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. For the usual,
* non-hp dealii::DoFHandler class
* that 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 here is
* different, since the hp
* classes support the case
* where different finite
* element indices may be used
* on different cells. The
* default index consequently
* corresponds to an invalid
* value.
*/
static const unsigned int default_fe_index = numbers::invalid_unsigned_int;
/**
* Constructor. Take @p tria as the
* triangulation to work on.
*/
DoFHandler (const Triangulation<dim,spacedim> &tria);
/**
* Destructor.
*/
virtual ~DoFHandler ();
/**
* 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 hp::FECollection<dim,spacedim> &fe);
/**
* Go through the triangulation and set
* the active FE indices of all active
* cells to the values given in @p
* active_fe_indices.
*/
void set_active_fe_indices (const std::vector<unsigned int> &active_fe_indices);
/**
* Go through the triangulation and
* store the active FE indices of all
* active cells to the vector @p
* active_fe_indices. This vector is
* resized, if necessary.
*/
void get_active_fe_indices (std::vector<unsigned int> &active_fe_indices) const;
/**
* 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.
*
* @p new_numbers is an array of integers
* with size equal to the number of dofs
* on the present grid. It stores the new
* indices after renumbering in the
* order of the old indices.
*
* This function is called by
* the functions in
* DoFRenumbering function
* after computing the ordering
* of the degrees of freedom.
* However, you can call this
* function yourself, which is
* necessary if a user wants to
* implement an ordering scheme
* herself, for example
* downwind numbering.
*
* The @p new_number array must
* have a size equal to the
* number of degrees of
* freedom. Each entry must
* state the new global DoF
* number of the degree of
* freedom referenced.
*/
void renumber_dofs (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 also.
*
* As for
* ::DoFHandler::max_couplings_between_dofs(),
* the result of this function is often
* not very accurate for 3d and/or high
* polynomial degrees. The consequences
* are 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
* @p max_coupling_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
* 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;
/*@}*/
/*---------------------------------------*/
/**
* 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 number of multilevel
* dofs on given level. Since
* hp::DoFHandler does not
* support multilevel methods
* yet, this function returns
* numbers::invalid_unsigned
* int independent of its argument.
*/
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;
/**
* 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.
*/
types::global_dof_index 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 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_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;
/**
* 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 set of finite element
* objects that are used by this
* @p DoFHandler.
*/
const hp::FECollection<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 thisr base class,
* although the actual object
* might be a derived class.
*/
virtual std::size_t memory_consumption () const;
/**
* Exception
*/
DeclException0 (ExcInvalidTriangulation);
/**
* Exception
*/
DeclException0 (ExcNoFESelected);
/**
* Exception
*/
DeclException0 (ExcRenumberingIncomplete);
/**
* Exception
*/
DeclException0 (ExcGridsDoNotMatch);
/**
* Exception
*/
DeclException0 (ExcInvalidBoundaryIndicator);
/**
* Exception
*/
DeclException1 (ExcMatrixHasWrongSize,
int,
<< "The matrix has the wrong dimension " << arg1);
/**
* Exception
*/
DeclException0 (ExcFunctionNotUseful);
/**
* Exception
*/
DeclException1 (ExcNewNumbersNotConsecutive,
types::global_dof_index,
<< "The given list of new dof indices is not consecutive: "
<< "the index " << arg1 << " does not exist.");
/**
* Exception
*/
DeclException2 (ExcInvalidFEIndex,
int, int,
<< "The mesh contains a cell with an active_fe_index of "
<< arg1 << ", but the finite element collection only has "
<< arg2 << " elements");
/**
* Exception
*/
DeclException1 (ExcInvalidLevel,
int,
<< "The given level " << arg1
<< " is not in the valid range!");
/**
* Exception
*/
DeclException0 (ExcFacesHaveNoLevel);
/**
* The triangulation level you
* accessed is empty.
*/
DeclException1 (ExcEmptyLevel,
int,
<< "You tried to do something on level " << arg1
<< ", but this level is empty.");
protected:
/**
* Address of the triangulation to
* work on.
*/
SmartPointer<const Triangulation<dim,spacedim>,DoFHandler<dim,spacedim> > tria;
/**
* Store a pointer to the finite
* element set 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 hp::FECollection<dim,spacedim>,hp::DoFHandler<dim,spacedim> > finite_elements;
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 &);
class MGVertexDoFs
{
public:
MGVertexDoFs ();
~MGVertexDoFs ();
types::global_dof_index get_index (const unsigned int level, const unsigned int dof_number) const;
void set_index (const unsigned int level, const unsigned int dof_number, const types::global_dof_index index);
};
/**
* Free all used memory.
*/
void clear_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;
/**
* Create default tables for
* the active_fe_indices in
* the
* dealii::internal::hp::DoFLevel. They
* are initialized with a
* zero indicator, meaning
* that fe[0] is going to be
* used by default. This
* method is called before
* refinement and before
* distribute_dofs is
* called. It ensures each
* cell has a valid
* active_fe_index.
*/
void create_active_fe_table ();
/**
* Functions that will be triggered
* through signals whenever the
* triangulation is modified.
*
* Here they are used to
* administrate the the
* active_fe_fields during the
* spatial refinement.
*/
void pre_refinement_action ();
void post_refinement_action ();
/**
* Compute identities between
* DoFs located on
* vertices. Called from
* distribute_dofs().
*/
void
compute_vertex_dof_identities (std::vector<types::global_dof_index> &new_dof_indices) const;
/**
* Compute identities between
* DoFs located on
* lines. Called from
* distribute_dofs().
*/
void
compute_line_dof_identities (std::vector<types::global_dof_index> &new_dof_indices) const;
/**
* Compute identities between
* DoFs located on
* quads. Called from
* distribute_dofs().
*/
void
compute_quad_dof_identities (std::vector<types::global_dof_index> &new_dof_indices) const;
/**
* Renumber the objects with
* the given and all lower
* structural dimensions,
* i.e. renumber vertices by
* giving a template argument
* of zero to the int2type
* argument, lines and vertices
* with one, etc.
*
* Note that in contrast to the
* public renumber_dofs()
* function, these internal
* functions do not ensure that
* the new DoFs are
* contiguously numbered. The
* function may therefore also
* be used to assign different
* DoFs the same number, for
* example to unify hp DoFs
* corresponding to different
* finite elements but
* co-located on the same
* entity.
*/
void renumber_dofs_internal (const std::vector<types::global_dof_index> &new_numbers,
dealii::internal::int2type<0>);
void renumber_dofs_internal (const std::vector<types::global_dof_index> &new_numbers,
dealii::internal::int2type<1>);
void renumber_dofs_internal (const std::vector<types::global_dof_index> &new_numbers,
dealii::internal::int2type<2>);
void renumber_dofs_internal (const std::vector<types::global_dof_index> &new_numbers,
dealii::internal::int2type<3>);
/**
* 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::hp::DoFLevel *> levels;
/**
* Space to store the DoF
* numbers for the faces.
* Analogous to the
* <tt>faces</tt> pointer of
* the Triangulation objects.
*/
dealii::internal::hp::DoFIndicesOnFaces<dim> *faces;
/**
* 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;
/**
* Array to store the indices
* for degrees of freedom
* located at vertices.
*
* The format used here, in the
* form of a linked list, is
* the same as used for the
* arrays used in the
* internal::hp::DoFLevel
* hierarchy. Starting indices
* into this array are provided
* by the vertex_dofs_offsets
* field.
*
* Access to this field is
* generally through the
* DoFAccessor::get_vertex_dof_index() and
* DoFAccessor::set_vertex_dof_index()
* functions, encapsulating the
* actual data format used to
* the present class.
*/
std::vector<types::global_dof_index> vertex_dofs;
/**
* For each vertex in the
* triangulation, store the
* offset within the
* vertex_dofs array where the
* dofs for this vertex start.
*
* As for that array, the
* format is the same as
* described in the
* documentation of
* hp::DoFLevel.
*
* Access to this field is
* generally through the
* Accessor::get_vertex_dof_index() and
* Accessor::set_vertex_dof_index()
* functions, encapsulating the
* actual data format used to
* the present class.
*/
std::vector<types::global_dof_index> vertex_dofs_offsets;
std::vector<MGVertexDoFs> mg_vertex_dofs;
/**
* Array to store the
* information if a cell on
* some level has children or
* not. It is used by the
* signal slots as a
* persistent buffer during the
* refinement, i.e. from between
* when pre_refinement_action is
* called and when post_refinement_action
* runs.
*/
std::vector<std::vector<bool> *> has_children;
/**
* A list of connections with which this object connects
* to the triangulation to get information about when the
* triangulation changes.
*/
std::vector<boost::signals2::connection> tria_listeners;
/**
* Make accessor objects friends.
*/
template <int, class, bool> friend class dealii::DoFAccessor;
template <class, bool> friend class dealii::DoFCellAccessor;
friend struct dealii::internal::DoFAccessor::Implementation;
friend struct dealii::internal::DoFCellAccessor::Implementation;
/**
* Likewise for DoFLevel
* objects since they need to
* access the vertex dofs in
* the functions that set and
* retrieve vertex dof indices.
*/
template <int> friend class dealii::internal::hp::DoFIndicesOnFacesOrEdges;
friend struct dealii::internal::hp::DoFHandler::Implementation;
};
#ifndef DOXYGEN
/* ----------------------- Inline functions ---------------------------------- */
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) const
{
return numbers::invalid_dof_index;
}
template <int dim, int spacedim>
types::global_dof_index
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 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>
inline
const hp::FECollection<dim,spacedim> &
DoFHandler<dim,spacedim>::get_fe () const
{
Assert (finite_elements != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
return *finite_elements;
}
template<int dim, int spacedim>
inline
const Triangulation<dim,spacedim> &
DoFHandler<dim,spacedim>::get_tria () const
{
return *tria;
}
template<int dim, int spacedim>
inline
DoFHandler<dim, spacedim>::MGVertexDoFs::MGVertexDoFs()
{
Assert (false, ExcNotImplemented ());
}
template<int dim, int spacedim>
inline
DoFHandler<dim, spacedim>::MGVertexDoFs::~MGVertexDoFs()
{
Assert (false, ExcNotImplemented ());
}
template<int dim, int spacedim>
inline
types::global_dof_index DoFHandler<dim, spacedim>::MGVertexDoFs::get_index (const unsigned int,
const unsigned int) const
{
Assert (false, ExcNotImplemented ());
return invalid_dof_index;
}
template<int dim, int spacedim>
inline
void DoFHandler<dim, spacedim>::MGVertexDoFs::set_index (const unsigned int,
const unsigned int,
types::global_dof_index)
{
Assert (false, ExcNotImplemented ());
}
#endif
}
DEAL_II_NAMESPACE_CLOSE
#endif
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