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// $Id: dof_accessor.h 30040 2013-07-18 17:06:48Z maier $
//
// 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_accessor_h
#define __deal2__dof_accessor_h
#include <deal.II/base/config.h>
#include <deal.II/grid/tria_accessor.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/hp/dof_handler.h>
#include <vector>
DEAL_II_NAMESPACE_OPEN
template <typename number> class FullMatrix;
template <typename number> class SparseMatrix;
template <typename number> class Vector;
class ConstraintMatrix;
template <typename Accessor> class TriaRawIterator;
template <int, int> class FiniteElement;
namespace internal
{
namespace DoFCellAccessor
{
struct Implementation;
}
namespace DoFHandler
{
struct Implementation;
namespace Policy
{
struct Implementation;
}
}
namespace hp
{
namespace DoFHandler
{
struct Implementation;
}
}
}
// note: the file dof_accessor.templates.h is included at the end of
// this file. this includes a lot of templates and thus makes
// compilation slower, but at the same time allows for more aggressive
// inlining and thus faster code.
namespace internal
{
namespace DoFAccessor
{
/**
* This is a switch class which only declares a @p typedef. It is meant to
* determine which class a DoFAccessor class is to be derived from. By
* default, <tt>DoFAccessor@<structdim,dim,spacedim@></tt> derives from the
* typedef in the general
* <tt>Inheritance@<structdim,dim,spacedim@></tt> class, which is
* <tt>TriaAccessor@<structdim,dim,spacedim@></tt>, but if
* <tt>structdim==dim</tt>, then the specialization
* <tt>Inheritance@<dim,dim,spacedim@></tt> is used which declares
* its local type to be <tt>CellAccessor@<dim,spacedim@></tt>. Therefore, the
* inheritance is automatically chosen to be from CellAccessor if the object
* under consideration has full dimension, i.e. constitutes a cell.
*
* @ingroup dofs
* @ingroup Accessors
* @author Wolfgang Bangerth, 1999
*/
template <int structdim, int dim, int spacedim>
struct Inheritance
{
/**
* Declaration of the @p typedef.
* See the full documentation for
* more information.
*/
typedef dealii::TriaAccessor<structdim,dim,spacedim> BaseClass;
};
/**
* This is the specialization of the general template used for the case where
* an object has full dimension, i.e. is a cell. See the general template for
* more details.
*/
template <int dim, int spacedim>
struct Inheritance<dim,dim,spacedim>
{
/**
* Declaration of the @p typedef.
* See the full documentation for
* more information.
*/
typedef dealii::CellAccessor<dim,spacedim> BaseClass;
};
}
}
/* -------------------------------------------------------------------------- */
/**
* A class that gives access to the degrees of freedom stored in a DoFHandler,
* MGSoDHandler, or hp::DoFHandler object. Accessors are used to, access the data that
* pertains to edges, faces, and cells of a triangulation. The concept is
* explained in more detail in connection to @ref Iterators.
*
* This class follows mainly the route laid out by the accessor
* library declared in the triangulation library (TriaAccessor). It
* enables the user to access the degrees of freedom on lines, quads,
* or hexes. The first template argument of this class determines the
* dimensionality of the object under consideration: 1 for lines, 2
* for quads, and 3 for hexes. The second argument denotes the type of
* DoF handler we should work on. It can either be ::DoFHandler or
* hp::DoFHandler. From the second template argument we also deduce
* the dimension of the Triangulation this object refers to as well as
* the dimension of the space into which it is embedded. Finally, the
* template argument <code>level_dof_access</code> governs the
* behavior of the function get_active_or_mg_dof_indices(). See the section on Generic loops below.
*
* <h3>Typedefs</h3>
*
* Usage is best to happen through the typedefs to the various kinds
* of iterators provided by the DoFHandler and hp::DoFHandler classes,
* since they are more secure to changes in the class naming and
* template interface as well as providing easier typing (much less
* complicated names!).
*
* <h3>Generic loops and the third template argument</h3>
*
* Many loops look very similar, whether they operate on the active
* dofs of the active cells of the Triangulation or on the level dodfs
* of a single level or the whole grid hierarchy. In order to use
* polymorphism in such loops, they access degrees of freedom through
* the function get_active_or_mg_dof_indices(), which changes behavior according to the
* third template argument. If the argument is false, then the active
* dofs of active cells are accessed. If it is true, the level dofs
* are used. DoFHandler has functions, for instance begin() and
* begin_mg(), which return either type or the other. Additionally,
* they can be cast into each other, in case this is needed, since
* they access the same data.
*
* It is highly recommended to use the function get_active_or_mg_dof_indices() in
* generic loops in lieu of get_dof_indices() or get_mg_dof_indices().
*
* <h3>Inheritance</h3>
*
* If the structural dimension given by the first template argument
* equals the dimension of the DoFHandler (given as the second
* template argument), then we are obviously dealing with cells,
* rather than lower-dimensional objects. In that case, inheritance is
* from CellAccessor, to provide access to all the cell specific
* information afforded by that class. Otherwise, i.e. for
* lower-dimensional objects, inheritance is from TriaAccessor.
*
* There is a DoFCellAccessor class that provides the
* equivalent to the CellAccessor class.
*
* @ingroup dofs
* @ingroup Accessors
* @author Wolfgang Bangerth, 1998, 2006, 2008, Timo Heister, Guido Kanschat, 2012, 2013
*/
template <int structdim, class DH, bool level_dof_access>
class DoFAccessor : public dealii::internal::DoFAccessor::Inheritance<structdim, DH::dimension, DH::space_dimension>::BaseClass
{
public:
/**
* A static variable that allows users of
* this class to discover the value of
* the second template argument.
*/
static const unsigned int dimension=DH::dimension;
/**
* A static variable that allows users of
* this class to discover the value of
* the third template argument.
*/
static const unsigned int space_dimension=DH::space_dimension;
/**
* Declare a typedef to the base
* class to make accessing some
* of the exception classes
* simpler.
*/
typedef
typename dealii::internal::DoFAccessor::Inheritance<structdim, dimension, space_dimension>::BaseClass
BaseClass;
/**
* Data type passed by the iterator class.
*/
typedef DH AccessorData;
/**
* @name Constructors
*/
/**
* @{
*/
/**
* Default constructor. Provides
* an accessor that can't be
* used.
*/
DoFAccessor ();
/**
* Constructor
*/
DoFAccessor (const Triangulation<DH::dimension,DH::space_dimension> *tria,
const int level,
const int index,
const DH *local_data);
/**
* Conversion constructor. This
* constructor exists to make certain
* constructs simpler to write in
* dimension independent code. For
* example, it allows assigning a face
* iterator to a line iterator, an
* operation that is useful in 2d but
* doesn't make any sense in 3d. The
* constructor here exists for the
* purpose of making the code conform to
* C++ but it will unconditionally abort;
* in other words, assigning a face
* iterator to a line iterator is better
* put into an if-statement that checks
* that the dimension is two, and assign
* to a quad iterator in 3d (an operator
* that, without this constructor would
* be illegal if we happen to compile for
* 2d).
*/
template <int structdim2, int dim2, int spacedim2>
DoFAccessor (const InvalidAccessor<structdim2,dim2,spacedim2> &);
/**
* Another conversion operator
* between objects that don't
* make sense, just like the
* previous one.
*/
template <int dim2, class DH2, bool level_dof_access2>
DoFAccessor (const DoFAccessor<dim2, DH2, level_dof_access2> &);
/**
* Copy constructor allowing to
* switch level access and active
* access.
*/
template <bool level_dof_access2>
DoFAccessor(const DoFAccessor<structdim, DH, level_dof_access2> &);
/**
* @}
*/
/**
* Return a handle on the
* DoFHandler object which we
* are using.
*/
const DH &
get_dof_handler () const;
/**
* Implement the copy operator needed
* for the iterator classes.
*/
template <bool level_dof_access2>
void copy_from (const DoFAccessor<structdim, DH, level_dof_access2> &a);
/**
* Copy operator used by the
* iterator class. Keeps the
* previously set dof handler,
* but sets the object
* coordinates of the TriaAccessor.
*/
void copy_from (const TriaAccessorBase<structdim, DH::dimension, DH::space_dimension> &da);
/**
* Tell the caller whether
* get_active_or_mg_dof_indices() accesses active
* or level dofs.
*/
static bool is_level_cell();
/**
* Return an iterator pointing to
* the the parent.
*/
TriaIterator<DoFAccessor<structdim,DH, level_dof_access> >
parent () const;
/**
* @name Accessing sub-objects
*/
/**
* @{
*/
/**
* Return an iterator pointing to
* the the @p c-th child.
*/
TriaIterator<DoFAccessor<structdim,DH, level_dof_access> >
child (const unsigned int c) const;
/**
* Pointer to the @p ith line
* bounding this object. If the
* current object is a line itself,
* then the only valid index is
* @p i equals to zero, and the
* function returns an iterator
* to itself.
*/
typename dealii::internal::DoFHandler::Iterators<DH, level_dof_access>::line_iterator
line (const unsigned int i) const;
/**
* Pointer to the @p ith quad
* bounding this object. If the
* current object is a quad itself,
* then the only valid index is
* @p i equals to zero, and the
* function returns an iterator
* to itself.
*/
typename dealii::internal::DoFHandler::Iterators<DH, level_dof_access>::quad_iterator
quad (const unsigned int i) const;
/**
* @}
*/
/**
* @name Accessing the DoF indices of this object
*/
/**
* @{
*/
/**
* Return the <i>global</i> indices of the degrees of freedom located on
* this object in the standard ordering defined by the finite element (i.e.,
* dofs on vertex 0, dofs on vertex 1, etc, dofs on line 0, dofs on line 1,
* etc, dofs on quad 0, etc.) This function is only available on
* <i>active</i> objects (see @ref GlossActive "this glossary entry").
*
* The cells needs to be an active cell (and not artificial in a
* parallel distributed computation).
*
* The vector has to have the right size before being passed to this
* function.
*
* The last argument denotes the finite element index. For the
* standard ::DoFHandler class, this value must be equal to its
* default value since that class only supports the same finite
* element on all cells anyway.
*
* However, for hp objects (i.e. the hp::DoFHandler class),
* different finite element objects may be used on different
* cells. On faces between two cells, as well as vertices, there may
* therefore be two sets of degrees of freedom, one for each of the
* finite elements used on the adjacent cells. In order to specify
* which set of degrees of freedom to work on, the last argument is
* used to disambiguate. Finally, if this function is called for a
* cell object, there can only be a single set of degrees of
* freedom, and fe_index has to match the result of
* active_fe_index().
*
* For cells, there is only a single possible finite element index
* (namely the one for that cell, returned by
* <code>cell-@>active_fe_index</code>. Consequently, the derived
* DoFCellAccessor class has an overloaded version of this function
* that calls the present function with
* <code>cell-@>active_fe_index</code> as last argument.
*
*/
void get_dof_indices (std::vector<types::global_dof_index> &dof_indices,
const unsigned int fe_index = DH::default_fe_index) const;
/**
* Return the global multilevel indices of the degrees of freedom that live
* on the current object with respect to the given level within the
* multigrid hierarchy. The indices refer to the local numbering for the
* level this line lives on.
*/
void get_mg_dof_indices (const int level,
std::vector<types::global_dof_index> &dof_indices,
const unsigned int fe_index = DH::default_fe_index) const;
/**
* Sets the level DoF indices that are returned by get_mg_dof_indices.
*/
void set_mg_dof_indices (const int level,
const std::vector<types::global_dof_index> &dof_indices,
const unsigned int fe_index = DH::default_fe_index);
/**
* Global DoF index of the <i>i</i>
* degree associated with the @p vertexth
* vertex of the present cell.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
types::global_dof_index vertex_dof_index (const unsigned int vertex,
const unsigned int i,
const unsigned int fe_index = DH::default_fe_index) const;
/**
* Returns the global DoF index of the <code>i</code>th degree of
* freedom associated with the <code>vertex</code>th vertex on
* level @p level. Also see vertex_dof_index().
*/
types::global_dof_index mg_vertex_dof_index (const int level,
const unsigned int vertex,
const unsigned int i,
const unsigned int fe_index = DH::default_fe_index) const;
/**
* Index of the <i>i</i>th degree
* of freedom of this object.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*
* @note While the get_dof_indices()
* function returns an array that
* contains the indices of all degrees of
* freedom that somehow live on this
* object (i.e. on the vertices, edges or
* interior of this object), the current
* dof_index() function only considers
* the DoFs that really belong to this
* particular object's interior. In other
* words, as an example, if the current
* object refers to a quad (a cell in 2d,
* a face in 3d) and the finite element
* associated with it is a bilinear one,
* then the get_dof_indices() will return
* an array of size 4 while dof_index()
* will produce an exception because no
* degrees are defined in the interior of
* the face.
*/
types::global_dof_index dof_index (const unsigned int i,
const unsigned int fe_index = DH::default_fe_index) const;
/**
* Returns the dof_index on the given level. Also see dof_index.
*/
types::global_dof_index mg_dof_index (const int level, const unsigned int i) const;
/**
* @}
*/
/**
* @name Accessing the finite element associated with this object
*/
/**
* @{
*/
/**
* Return the number of finite
* elements that are active on a
* given object.
*
* For non-hp DoFHandler objects,
* the answer is of course always
* one. However, for
* hp::DoFHandler objects, this
* isn't the case: If this is a
* cell, the answer is of course
* one. If it is a face, the
* answer may be one or two,
* depending on whether the two
* adjacent cells use the same
* finite element or not. If it
* is an edge in 3d, the possible
* return value may be one or any
* other value larger than that.
*/
unsigned int
n_active_fe_indices () const;
/**
* Return the @p n-th active fe
* index on this object. For
* cells and all non-hp objects,
* there is only a single active
* fe index, so the argument must
* be equal to zero. For
* lower-dimensional hp objects,
* there are
* n_active_fe_indices() active
* finite elements, and this
* function can be queried for
* their indices.
*/
unsigned int
nth_active_fe_index (const unsigned int n) const;
/**
* Return true if the finite
* element with given index is
* active on the present
* object. For non-hp DoF
* accessors, this is of course
* the case only if @p fe_index
* equals zero. For cells, it is
* the case if @p fe_index equals
* active_fe_index() of this
* cell. For faces and other
* lower-dimensional objects,
* there may be more than one @p
* fe_index that are active on
* any given object (see
* n_active_fe_indices()).
*/
bool
fe_index_is_active (const unsigned int fe_index) const;
/**
* Return a reference to the finite
* element used on this object with the
* given @p fe_index. @p fe_index must be
* used on this object,
* i.e. <code>fe_index_is_active(fe_index)</code>
* must return true.
*/
const FiniteElement<DH::dimension,DH::space_dimension> &
get_fe (const unsigned int fe_index) const;
/**
* @}
*/
/**
* Exceptions for child classes
*
* @ingroup Exceptions
*/
DeclException0 (ExcInvalidObject);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcVectorNotEmpty);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcVectorDoesNotMatch);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcMatrixDoesNotMatch);
/**
* A function has been called for
* a cell which should be active,
* but is refined. @ref GlossActive
*
* @ingroup Exceptions
*/
DeclException0 (ExcNotActive);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcCantCompareIterators);
protected:
/**
* Store the address of the DoFHandler object
* to be accessed.
*/
DH *dof_handler;
public:
/**
* Compare for equality. Return
* <tt>true</tt> if the two
* accessors refer to the same object.
*
* The template parameters of this
* function allow for a comparison
* of very different
* objects. Therefore, some of them
* are disabled.
* Namely, if the dimension, or the dof
* handler of the two objects
* differ, an exception is
* generated. It can be
* expected that this is an
* unwanted comparison.
*
* The template parameter
* <tt>level_dof_access2</tt> is ignored, such
* that an iterator with level
* access can be equal to one with
* access to the active degrees of
* freedom.
*/
template <int dim2, class DH2, bool level_dof_access2>
bool operator == (const DoFAccessor<dim2,DH2,level_dof_access2> &) const;
/**
* Compare for inequality. The
* boolean not of operator==().
*/
template <int dim2, class DH2, bool level_dof_access2>
bool operator != (const DoFAccessor<dim2,DH2,level_dof_access2> &) const;
protected:
/**
* Reset the DoF handler pointer.
*/
void set_dof_handler (DH *dh);
/**
* Set the index of the
* <i>i</i>th degree of freedom
* of this object to @p index.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
void set_dof_index (const unsigned int i,
const types::global_dof_index index,
const unsigned int fe_index = DH::default_fe_index) const;
void set_mg_dof_index (const int level, const unsigned int i, const types::global_dof_index index) const;
/**
* Set the global index of the <i>i</i>
* degree on the @p vertex-th vertex of
* the present cell to @p index.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
void set_vertex_dof_index (const unsigned int vertex,
const unsigned int i,
const types::global_dof_index index,
const unsigned int fe_index = DH::default_fe_index) const;
void set_mg_vertex_dof_index (const int level, const unsigned int vertex, const unsigned int i, const types::global_dof_index index, const unsigned int fe_index = DH::default_fe_index) const;
/**
* Iterator classes need to be friends
* because they need to access operator==
* and operator!=.
*/
template <typename> friend class TriaRawIterator;
template <int, class, bool> friend class DoFAccessor;
private:
/**
* Copy operator. This is normally used
* in a context like <tt>iterator a,b;
* *a=*b;</tt>. Presumably, the intent
* here is to copy the object pointed to
* by @p b to the object pointed to by
* @p a. However, the result of
* dereferencing an iterator is not an
* object but an accessor; consequently,
* this operation is not useful for
* iterators on triangulations. We
* declare this function here private,
* thus it may not be used from outside.
* Furthermore it is not implemented and
* will give a linker error if used
* anyway.
*/
DoFAccessor<structdim,DH, level_dof_access> &
operator = (const DoFAccessor<structdim,DH, level_dof_access> &da);
/**
* Make the DoFHandler class a friend so
* that it can call the set_xxx()
* functions.
*/
template <int dim, int spacedim> friend class DoFHandler;
template <int dim, int spacedim> friend class hp::DoFHandler;
friend struct dealii::internal::DoFHandler::Policy::Implementation;
friend struct dealii::internal::DoFHandler::Implementation;
friend struct dealii::internal::hp::DoFHandler::Implementation;
friend struct dealii::internal::DoFCellAccessor::Implementation;
friend struct dealii::internal::DoFAccessor::Implementation;
};
/**
* Specialization of the general DoFAccessor class template for the
* case of zero-dimensional objects (a vertex) that are the face of a
* one-dimensional cell in spacedim space dimensions. Since vertices
* function differently than general faces, this class does a few
* things differently than the general template, but the interface
* should look the same.
*
* @author Wolfgang Bangerth, 2010
*/
template <template <int, int> class DH, int spacedim, bool level_dof_access>
class DoFAccessor<0,DH<1,spacedim>, level_dof_access> : public TriaAccessor<0,1,spacedim>
{
public:
/**
* A static variable that allows users of
* this class to discover the value of
* the second template argument.
*/
static const unsigned int dimension=1;
/**
* A static variable that allows users of
* this class to discover the value of
* the third template argument.
*/
static const unsigned int space_dimension=spacedim;
/**
* Declare a typedef to the base
* class to make accessing some
* of the exception classes
* simpler.
*/
typedef TriaAccessor<0,1,spacedim> BaseClass;
/**
* Data type passed by the iterator class.
*/
typedef DH<1,spacedim> AccessorData;
/**
* @name Constructors
*/
/**
* @{
*/
/**
* Default constructor. Provides
* an accessor that can't be
* used.
*/
DoFAccessor ();
/**
* Constructor to be used if the
* object here refers to a vertex
* of a one-dimensional
* triangulation, i.e. a face of
* the triangulation.
*
* Since there is no mapping from
* vertices to cells, an accessor
* object for a point has no way
* to figure out whether it is at
* the boundary of the domain or
* not. Consequently, the second
* argument must be passed by the
* object that generates this
* accessor -- e.g. a 1d cell
* that can figure out whether
* its left or right vertex are
* at the boundary.
*
* The third argument is the
* global index of the vertex we
* point to.
*
* The fourth argument is a
* pointer to the DoFHandler
* object.
*
* This iterator can only be
* called for one-dimensional
* triangulations.
*/
DoFAccessor (const Triangulation<1,spacedim> *tria,
const typename TriaAccessor<0,1,spacedim>::VertexKind vertex_kind,
const unsigned int vertex_index,
const DH<1,spacedim> *dof_handler);
/**
* Constructor. This constructor
* exists in order to maintain
* interface compatibility with
* the other accessor
* classes. However, it doesn't
* do anything useful here and so
* may not actually be called.
*/
DoFAccessor (const Triangulation<1,spacedim> *,
const int = 0,
const int = 0,
const DH<1,spacedim> *dof_handler = 0);
/**
* Conversion constructor. This
* constructor exists to make certain
* constructs simpler to write in
* dimension independent code. For
* example, it allows assigning a face
* iterator to a line iterator, an
* operation that is useful in 2d but
* doesn't make any sense in 3d. The
* constructor here exists for the
* purpose of making the code conform to
* C++ but it will unconditionally abort;
* in other words, assigning a face
* iterator to a line iterator is better
* put into an if-statement that checks
* that the dimension is two, and assign
* to a quad iterator in 3d (an operator
* that, without this constructor would
* be illegal if we happen to compile for
* 2d).
*/
template <int structdim2, int dim2, int spacedim2>
DoFAccessor (const InvalidAccessor<structdim2,dim2,spacedim2> &);
/**
* Another conversion operator
* between objects that don't
* make sense, just like the
* previous one.
*/
template <int dim2, class DH2, bool level_dof_access2>
DoFAccessor (const DoFAccessor<dim2, DH2, level_dof_access2> &);
/**
* @}
*/
/**
* Return a handle on the
* DoFHandler object which we
* are using.
*/
const DH<1,spacedim> &
get_dof_handler () const;
/**
* Copy operator.
*/
DoFAccessor<0,DH<1,spacedim>, level_dof_access> &
operator = (const DoFAccessor<0,DH<1,spacedim>, level_dof_access> &da);
/**
* Implement the copy operator needed
* for the iterator classes.
*/
template <bool level_dof_access2>
void copy_from (const DoFAccessor<0, DH<1,spacedim>, level_dof_access2> &a);
/**
* Copy operator used by the
* iterator class. Keeps the
* previously set dof handler,
* but sets the object
* coordinates of the TriaAccessor.
*/
void copy_from (const TriaAccessorBase<0, 1, spacedim> &da);
/**
* Return an iterator pointing to
* the the parent.
*/
TriaIterator<DoFAccessor<0,DH<1,spacedim>, level_dof_access> >
parent () const;
/**
* @name Accessing sub-objects
*/
/**
* @{
*/
/**
* Return an iterator pointing to
* the the @p c-th child.
*/
TriaIterator<DoFAccessor<0,DH<1,spacedim>, level_dof_access > >
child (const unsigned int c) const;
/**
* Pointer to the @p ith line
* bounding this object. If the
* current object is a line itself,
* then the only valid index is
* @p i equals to zero, and the
* function returns an iterator
* to itself.
*/
typename dealii::internal::DoFHandler::Iterators<DH<1,spacedim>, level_dof_access>::line_iterator
line (const unsigned int i) const;
/**
* Pointer to the @p ith quad
* bounding this object. If the
* current object is a quad itself,
* then the only valid index is
* @p i equals to zero, and the
* function returns an iterator
* to itself.
*/
typename dealii::internal::DoFHandler::Iterators<DH<1,spacedim>, level_dof_access>::quad_iterator
quad (const unsigned int i) const;
/**
* @}
*/
/**
* @name Accessing the DoF indices of this object
*/
/**
* @{
*/
/**
* Return the <i>global</i> indices of the degrees of freedom located on
* this object in the standard ordering defined by the finite element (i.e.,
* dofs on vertex 0, dofs on vertex 1, etc, dofs on line 0, dofs on line 1,
* etc, dofs on quad 0, etc.) This function is only available on
* <i>active</i> objects (see @ref GlossActive "this glossary entry").
*
* The cells needs to be an active cell (and not artificial in a
* parallel distributed computation).
*
* The vector has to have the
* right size before being passed
* to this function.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*
* For cells, there is only a
* single possible finite element
* index (namely the one for that
* cell, returned by
* <code>cell-@>active_fe_index</code>. Consequently,
* the derived DoFCellAccessor
* class has an overloaded
* version of this function that
* calls the present function
* with
* <code>cell-@>active_fe_index</code>
* as last argument.
*/
void get_dof_indices (std::vector<types::global_dof_index> &dof_indices,
const unsigned int fe_index = AccessorData::default_fe_index) const;
/**
* Global DoF index of the <i>i</i>
* degree associated with the @p vertexth
* vertex of the present cell.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
types::global_dof_index vertex_dof_index (const unsigned int vertex,
const unsigned int i,
const unsigned int fe_index = AccessorData::default_fe_index) const;
/**
* Index of the <i>i</i>th degree
* of freedom of this object.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*
* @note While the get_dof_indices()
* function returns an array that
* contains the indices of all degrees of
* freedom that somehow live on this
* object (i.e. on the vertices, edges or
* interior of this object), the current
* dof_index() function only considers
* the DoFs that really belong to this
* particular object's interior. In other
* words, as an example, if the current
* object refers to a quad (a cell in 2d,
* a face in 3d) and the finite element
* associated with it is a bilinear one,
* then the get_dof_indices() will return
* an array of size 4 while dof_index()
* will produce an exception because no
* degrees are defined in the interior of
* the face.
*/
types::global_dof_index dof_index (const unsigned int i,
const unsigned int fe_index = AccessorData::default_fe_index) const;
/**
* @}
*/
/**
* @name Accessing the finite element associated with this object
*/
/**
* @{
*/
/**
* Return the number of finite
* elements that are active on a
* given object.
*
* For non-hp DoFHandler objects,
* the answer is of course always
* one. However, for
* hp::DoFHandler objects, this
* isn't the case: If this is a
* cell, the answer is of course
* one. If it is a face, the
* answer may be one or two,
* depending on whether the two
* adjacent cells use the same
* finite element or not. If it
* is an edge in 3d, the possible
* return value may be one or any
* other value larger than that.
*/
unsigned int
n_active_fe_indices () const;
/**
* Return the @p n-th active fe
* index on this object. For
* cells and all non-hp objects,
* there is only a single active
* fe index, so the argument must
* be equal to zero. For
* lower-dimensional hp objects,
* there are
* n_active_fe_indices() active
* finite elements, and this
* function can be queried for
* their indices.
*/
unsigned int
nth_active_fe_index (const unsigned int n) const;
/**
* Return true if the finite
* element with given index is
* active on the present
* object. For non-hp DoF
* accessors, this is of course
* the case only if @p fe_index
* equals zero. For cells, it is
* the case if @p fe_index equals
* active_fe_index() of this
* cell. For faces and other
* lower-dimensional objects,
* there may be more than one @p
* fe_index that are active on
* any given object (see
* n_active_fe_indices()).
*/
bool
fe_index_is_active (const unsigned int fe_index) const;
/**
* Return a reference to the finite
* element used on this object with the
* given @p fe_index. @p fe_index must be
* used on this object,
* i.e. <code>fe_index_is_active(fe_index)</code>
* must return true.
*/
const FiniteElement<DH<1,spacedim>::dimension,DH<1,spacedim>::space_dimension> &
get_fe (const unsigned int fe_index) const;
/**
* @}
*/
/**
* Exceptions for child classes
*
* @ingroup Exceptions
*/
DeclException0 (ExcInvalidObject);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcVectorNotEmpty);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcVectorDoesNotMatch);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcMatrixDoesNotMatch);
/**
* A function has been called for
* a cell which should be active,
* but is refined. @ref GlossActive
*
* @ingroup Exceptions
*/
DeclException0 (ExcNotActive);
/**
* Exception
*
* @ingroup Exceptions
*/
DeclException0 (ExcCantCompareIterators);
protected:
/**
* Store the address of the DoFHandler object
* to be accessed.
*/
DH<1,spacedim> *dof_handler;
/**
* Compare for equality.
*/
template <int dim2, class DH2, bool level_dof_access2>
bool operator == (const DoFAccessor<dim2,DH2,level_dof_access2> &) const;
/**
* Compare for inequality.
*/
template <int dim2, class DH2, bool level_dof_access2>
bool operator != (const DoFAccessor<dim2,DH2,level_dof_access2> &) const;
/**
* Reset the DoF handler pointer.
*/
void set_dof_handler (DH<1,spacedim> *dh);
/**
* Set the index of the
* <i>i</i>th degree of freedom
* of this object to @p index.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
void set_dof_index (const unsigned int i,
const types::global_dof_index index,
const unsigned int fe_index = AccessorData::default_fe_index) const;
/**
* Set the global index of the <i>i</i>
* degree on the @p vertex-th vertex of
* the present cell to @p index.
*
* The last argument denotes the
* finite element index. For the
* standard ::DoFHandler class,
* this value must be equal to
* its default value since that
* class only supports the same
* finite element on all cells
* anyway.
*
* However, for hp objects
* (i.e. the hp::DoFHandler
* class), different finite
* element objects may be used on
* different cells. On faces
* between two cells, as well as
* vertices, there may therefore
* be two sets of degrees of
* freedom, one for each of the
* finite elements used on the
* adjacent cells. In order to
* specify which set of degrees
* of freedom to work on, the
* last argument is used to
* disambiguate. Finally, if this
* function is called for a cell
* object, there can only be a
* single set of degrees of
* freedom, and fe_index has to
* match the result of
* active_fe_index().
*/
void set_vertex_dof_index (const unsigned int vertex,
const unsigned int i,
const types::global_dof_index index,
const unsigned int fe_index = AccessorData::default_fe_index) const;
/**
* Iterator classes need to be friends
* because they need to access operator==
* and operator!=.
*/
template <typename> friend class TriaRawIterator;
/**
* Make the DoFHandler class a friend so
* that it can call the set_xxx()
* functions.
*/
template <int, int> friend class DoFHandler;
template <int, int> friend class hp::DoFHandler;
friend struct dealii::internal::DoFHandler::Policy::Implementation;
friend struct dealii::internal::DoFHandler::Implementation;
friend struct dealii::internal::hp::DoFHandler::Implementation;
friend struct dealii::internal::DoFCellAccessor::Implementation;
};
/* -------------------------------------------------------------------------- */
/**
* Grant access to the degrees of freedom on a cell.
*
* Note that since for the class we derive from, i.e. <tt>DoFAccessor<dim></tt>,
* the two template parameters are equal, the base class is actually derived from
* CellAccessor, which makes the functions of this class available to the
* DoFCellAccessor class as well.
*
* @ingroup dofs
* @ingroup Accessors
* @author Wolfgang Bangerth, 1998, Timo Heister, Guido Kanschat, 2012
*/
template <class DH, bool level_dof_access>
class DoFCellAccessor : public DoFAccessor<DH::dimension,DH, level_dof_access>
{
public:
/**
* Extract dimension from DH.
*/
static const unsigned int dim = DH::dimension;
/**
* Extract space dimension from DH.
*/
static const unsigned int spacedim = DH::space_dimension;
/**
* Data type passed by the iterator class.
*/
typedef DH AccessorData;
/**
* Declare a typedef to the base
* class to make accessing some
* of the exception classes
* simpler.
*/
typedef DoFAccessor<DH::dimension,DH, level_dof_access> BaseClass;
/**
* Define the type of the
* container this is part of.
*/
typedef DH Container;
/**
* @name Constructors and initialization
*/
/**
* @{
*/
/**
* Constructor
*/
DoFCellAccessor (const Triangulation<DH::dimension,DH::space_dimension> *tria,
const int level,
const int index,
const AccessorData *local_data);
/**
* Conversion constructor. This
* constructor exists to make certain
* constructs simpler to write in
* dimension independent code. For
* example, it allows assigning a face
* iterator to a line iterator, an
* operation that is useful in 2d but
* doesn't make any sense in 3d. The
* constructor here exists for the
* purpose of making the code conform to
* C++ but it will unconditionally abort;
* in other words, assigning a face
* iterator to a line iterator is better
* put into an if-statement that checks
* that the dimension is two, and assign
* to a quad iterator in 3d (an operator
* that, without this constructor would
* be illegal if we happen to compile for
* 2d).
*/
template <int structdim2, int dim2, int spacedim2>
DoFCellAccessor (const InvalidAccessor<structdim2,dim2,spacedim2> &);
/**
* Another conversion operator
* between objects that don't
* make sense, just like the
* previous one.
*/
template <int dim2, class DH2, bool level_dof_access2>
explicit
DoFCellAccessor (const DoFAccessor<dim2, DH2, level_dof_access2> &);
/**
* @}
*/
/**
* Return the parent as a DoF
* cell iterator. This
* function is needed since the
* parent function of the base
* class returns a cell accessor
* without access to the DoF
* data.
*/
TriaIterator<DoFCellAccessor<DH, level_dof_access> >
parent () const;
/**
* @name Accessing sub-objects and neighbors
*/
/**
* @{
*/
/**
* Return the @p ith neighbor as
* a DoF cell iterator. This
* function is needed since the
* neighbor function of the base
* class returns a cell accessor
* without access to the DoF
* data.
*/
TriaIterator<DoFCellAccessor<DH, level_dof_access> >
neighbor (const unsigned int) const;
/**
* Return the @p ith child as a
* DoF cell iterator. This
* function is needed since the
* child function of the base
* class returns a cell accessor
* without access to the DoF
* data.
*/
TriaIterator<DoFCellAccessor<DH, level_dof_access> >
child (const unsigned int) const;
/**
* Return an iterator to the @p ith face
* of this cell.
*
* This function is not implemented in
* 1D, and maps to DoFAccessor::line
* in 2D.
*/
TriaIterator<DoFAccessor<DH::dimension-1,DH, level_dof_access> >
face (const unsigned int i) const;
/**
* Return the result of the
* @p neighbor_child_on_subface
* function of the base class,
* but convert it so that one can
* also access the DoF data (the
* function in the base class
* only returns an iterator with
* access to the triangulation
* data).
*/
TriaIterator<DoFCellAccessor<DH, level_dof_access> >
neighbor_child_on_subface (const unsigned int face_no,
const unsigned int subface_no) const;
/**
* @}
*/
/**
* @name Extracting values from global vectors
*/
/**
* @{
*/
/**
* Return the values of the given vector
* restricted to the dofs of this
* cell in the standard ordering: dofs
* on vertex 0, dofs on vertex 1, etc,
* dofs on line 0, dofs on line 1, etc,
* dofs on quad 0, etc.
*
* The vector has to have the
* right size before being passed
* to this function. This
* function is only callable for
* active cells.
*
* The input vector may be either
* a <tt>Vector<float></tt>,
* Vector<double>, or a
* BlockVector<double>, or a
* PETSc or Trilinos vector if
* deal.II is compiled to support
* these libraries. It is in the
* responsibility of the caller
* to assure that the types of
* the numbers stored in input
* and output vectors are
* compatible and with similar
* accuracy.
*/
template <class InputVector, typename number>
void get_dof_values (const InputVector &values,
Vector<number> &local_values) const;
/**
* Return the values of the given vector
* restricted to the dofs of this
* cell in the standard ordering: dofs
* on vertex 0, dofs on vertex 1, etc,
* dofs on line 0, dofs on line 1, etc,
* dofs on quad 0, etc.
*
* The vector has to have the
* right size before being passed
* to this function. This
* function is only callable for
* active cells.
*
* The input vector may be either
* a <tt>Vector<float></tt>,
* Vector<double>, or a
* BlockVector<double>, or a
* PETSc or Trilinos vector if
* deal.II is compiled to support
* these libraries. It is in the
* responsibility of the caller
* to assure that the types of
* the numbers stored in input
* and output vectors are
* compatible and with similar
* accuracy.
*/
template <class InputVector, typename ForwardIterator>
void get_dof_values (const InputVector &values,
ForwardIterator local_values_begin,
ForwardIterator local_values_end) const;
/**
* Return the values of the given vector
* restricted to the dofs of this
* cell in the standard ordering: dofs
* on vertex 0, dofs on vertex 1, etc,
* dofs on line 0, dofs on line 1, etc,
* dofs on quad 0, etc.
*
* The vector has to have the
* right size before being passed
* to this function. This
* function is only callable for
* active cells.
*
* The input vector may be either a
* <tt>Vector<float></tt>,
* Vector<double>, or a
* BlockVector<double>, or a PETSc or
* Trilinos vector if deal.II is
* compiled to support these
* libraries. It is in the
* responsibility of the caller to
* assure that the types of the numbers
* stored in input and output vectors
* are compatible and with similar
* accuracy. The ConstraintMatrix
* passed as an argument to this
* function makes sure that constraints
* are correctly distributed when the
* dof values are calculated.
*/
template <class InputVector, typename ForwardIterator>
void get_dof_values (const ConstraintMatrix &constraints,
const InputVector &values,
ForwardIterator local_values_begin,
ForwardIterator local_values_end) const;
/**
* This function is the counterpart to
* get_dof_values(): it takes a vector
* of values for the degrees of freedom
* of the cell pointed to by this iterator
* and writes these values into the global
* data vector @p values. This function
* is only callable for active cells.
*
* Note that for continuous finite
* elements, calling this function affects
* the dof values on neighboring cells as
* well. It may also violate continuity
* requirements for hanging nodes, if
* neighboring cells are less refined than
* the present one. These requirements
* are not taken care of and must be
* enforced by the user afterwards.
*
* The vector has to have the
* right size before being passed
* to this function.
*
* The output vector may be either a
* Vector<float>,
* Vector<double>, or a
* BlockVector<double>, or a
* PETSc vector if deal.II is compiled to
* support these libraries. It is in the
* responsibility of the caller to assure
* that the types of the numbers stored
* in input and output vectors are
* compatible and with similar accuracy.
*/
template <class OutputVector, typename number>
void set_dof_values (const Vector<number> &local_values,
OutputVector &values) const;
/**
* Return the interpolation of
* the given finite element
* function to the present
* cell. In the simplest case,
* the cell is a terminal one,
* i.e. has no children; then,
* the returned value is the
* vector of nodal values on that
* cell. You could then as well
* get the desired values through
* the @p get_dof_values
* function. In the other case,
* when the cell has children, we
* use the restriction matrices
* provided by the finite element
* class to compute the
* interpolation from the
* children to the present cell.
*
* It is assumed that both
* vectors already have the right
* size beforehand.
*
* Unlike the get_dof_values()
* function, this function works
* on cells rather than to lines,
* quads, and hexes, since
* interpolation is presently
* only provided for cells by the
* finite element classes.
*/
template <class InputVector, typename number>
void get_interpolated_dof_values (const InputVector &values,
Vector<number> &interpolated_values) const;
/**
* This, again, is the
* counterpart to
* get_interpolated_dof_values():
* you specify the dof values on
* a cell and these are
* interpolated to the children
* of the present cell and set on
* the terminal cells.
*
* In principle, it works as
* follows: if the cell pointed
* to by this object is terminal,
* then the dof values are set in
* the global data vector by
* calling the set_dof_values()
* function; otherwise, the
* values are prolonged to each
* of the children and this
* function is called for each of
* them.
*
* Using the
* get_interpolated_dof_values()
* and this function, you can
* compute the interpolation of a
* finite element function to a
* coarser grid by first getting
* the interpolated solution on a
* cell of the coarse grid and
* afterwards redistributing it
* using this function.
*
* Note that for continuous
* finite elements, calling this
* function affects the dof
* values on neighboring cells as
* well. It may also violate
* continuity requirements for
* hanging nodes, if neighboring
* cells are less refined than
* the present one, or if their
* children are less refined than
* the children of this
* cell. These requirements are
* not taken care of and must be
* enforced by the user
* afterward.
*
* It is assumed that both
* vectors already have the right
* size beforehand. This function
* relies on the existence of a
* natural interpolation property
* of finite element spaces of a
* cell to its children, denoted
* by the prolongation matrices
* of finite element classes. For
* some elements, the spaces on
* coarse and fine grids are not
* nested, in which case the
* interpolation to a child is
* not the identity; refer to the
* documentation of the
* respective finite element
* class for a description of
* what the prolongation matrices
* represent in this case.
*
* Unlike the set_dof_values()
* function, this function is
* associated to cells rather
* than to lines, quads, and
* hexes, since interpolation is
* presently only provided for
* cells by the finite element
* objects.
*
* The output vector may be either a
* Vector<float>,
* Vector<double>, or a
* BlockVector<double>, or a
* PETSc vector if deal.II is compiled to
* support these libraries. It is in the
* responsibility of the caller to assure
* that the types of the numbers stored
* in input and output vectors are
* compatible and with similar accuracy.
*/
template <class OutputVector, typename number>
void set_dof_values_by_interpolation (const Vector<number> &local_values,
OutputVector &values) const;
/**
* Distribute a local (cell
* based) vector to a global one
* by mapping the local numbering
* of the degrees of freedom to
* the global one and entering
* the local values into the
* global vector.
*
* The elements are
* <em>added</em> up to the
* elements in the global vector,
* rather than just set, since
* this is usually what one
* wants.
*/
template <typename number, typename OutputVector>
void
distribute_local_to_global (const Vector<number> &local_source,
OutputVector &global_destination) const;
/**
* Distribute a local (cell based)
* vector in iterator format to a
* global one by mapping the local
* numbering of the degrees of freedom
* to the global one and entering the
* local values into the global vector.
*
* The elements are <em>added</em> up
* to the elements in the global
* vector, rather than just set, since
* this is usually what one wants.
*/
template <typename ForwardIterator, typename OutputVector>
void
distribute_local_to_global (ForwardIterator local_source_begin,
ForwardIterator local_source_end,
OutputVector &global_destination) const;
/**
* Distribute a local (cell based)
* vector in iterator format to a
* global one by mapping the local
* numbering of the degrees of freedom
* to the global one and entering the
* local values into the global vector.
*
* The elements are <em>added</em> up
* to the elements in the global
* vector, rather than just set, since
* this is usually what one
* wants. Moreover, the
* ConstraintMatrix passed to this
* function makes sure that also
* constraints are eliminated in this
* process.
*/
template <typename ForwardIterator, typename OutputVector>
void
distribute_local_to_global (const ConstraintMatrix &constraints,
ForwardIterator local_source_begin,
ForwardIterator local_source_end,
OutputVector &global_destination) const;
/**
* This function does much the
* same as the
* <tt>distribute_local_to_global(Vector,Vector)</tt>
* function, but operates on
* matrices instead of
* vectors. If the matrix type is
* a sparse matrix then it is
* supposed to have non-zero
* entry slots where required.
*/
template <typename number, typename OutputMatrix>
void
distribute_local_to_global (const FullMatrix<number> &local_source,
OutputMatrix &global_destination) const;
/**
* This function does what the two
* <tt>distribute_local_to_global</tt>
* functions with vector and matrix
* argument do, but all at once.
*/
template <typename number, typename OutputMatrix, typename OutputVector>
void
distribute_local_to_global (const FullMatrix<number> &local_matrix,
const Vector<number> &local_vector,
OutputMatrix &global_matrix,
OutputVector &global_vector) const;
/**
* @}
*/
/**
* @name Accessing the DoF indices of this object
*/
/**
* @{
*/
/**
* Obtain the global indices of the local degrees of freedom on this cell.
*
* If this object accesses a level
* cell (indicated by the third
* template argument or
* #is_level_cell), then return the
* result of get_mg_dof_indices(),
* else return get_dof_indices().
*
* You will get a
* level_cell_iterator when calling
* begin_mg() and a normal one
* otherwise.
*
* Examples for this use are in the implementation of DoFRenumbering.
*/
void get_active_or_mg_dof_indices (std::vector<types::global_dof_index> &dof_indices) const;
/**
* Return the <i>global</i> indices of the degrees of freedom located on
* this object in the standard ordering defined by the finite element (i.e.,
* dofs on vertex 0, dofs on vertex 1, etc, dofs on line 0, dofs on line 1,
* etc, dofs on quad 0, etc.) This function is only available on
* <i>active</i> objects (see @ref GlossActive "this glossary entry").
*
* @param[out] dof_indices The vector into which the indices will be
* written. It has to have the right size (namely,
* <code>fe.dofs_per_cell</code>, <code>fe.dofs_per_face</code>,
* or <code>fe.dofs_per_line</code>, depending on which kind of
* object this function is called) before being passed to this
* function.
*
* This function reimplements the same function in the base class.
* In contrast to the function in the base class, we do not need the
* <code>fe_index</code> here because there is always a unique finite
* element index on cells.
*
* This is a function which requires that the cell is active.
*
* Also see get_active_or_mg_dof_indices().
*
* @note In many places in the tutorial and elsewhere in the library,
* the argument to this function is called <code>local_dof_indices</code>
* by convention. The name is not meant to indicate the <i>local</i>
* numbers of degrees of freedom (which are always between zero and
* <code>fe.dofs_per_cell</code>) but instead that the returned values
* are the <i>global</i> indices of those degrees of freedom that
* are located locally on the current cell.
*
* @deprecated Currently, this function can also be called for non-active cells, if all degrees of freedom of the FiniteElement are located in vertices. This functionality will vanish in a future release.
*/
void get_dof_indices (std::vector<types::global_dof_index> &dof_indices) const;
/**
* @deprecated Use get_active_or_mg_dof_indices() with level_cell_iterator returned from begin_mg().
*
* Retrieve the global indices of the degrees of freedom on this cell in the
* level vector associated to the level of the cell.
*/
void get_mg_dof_indices (std::vector<types::global_dof_index> &dof_indices) const;
/**
* @}
*/
/**
* @name Accessing the finite element associated with this object
*/
/**
* @{
*/
/**
* Return the finite element that
* is used on the cell pointed to
* by this iterator. For non-hp
* DoF handlers, this is of
* course always the same
* element, independent of the
* cell we are presently on, but
* for hp DoF handlers, this may
* change from cell to cell.
*/
const FiniteElement<DH::dimension,DH::space_dimension> &
get_fe () const;
/**
* Returns the index inside the
* hp::FECollection of the FiniteElement
* used for this cell.
*/
unsigned int active_fe_index () const;
/**
* Sets the index of the FiniteElement used for
* this cell.
*/
void set_active_fe_index (const unsigned int i);
/**
* @}
*/
/**
* Set the DoF indices of this
* cell to the given values. This
* function bypasses the DoF
* cache, if one exists for the
* given DoF handler class.
*/
void set_dof_indices (const std::vector<types::global_dof_index> &dof_indices);
/**
* Set the Level DoF indices of this
* cell to the given values.
*/
void set_mg_dof_indices (const std::vector<types::global_dof_index> &dof_indices);
/**
* Update the cache in which we
* store the dof indices of this
* cell.
*/
void update_cell_dof_indices_cache () const;
private:
/**
* Copy operator. This is normally used
* in a context like <tt>iterator a,b;
* *a=*b;</tt>. Presumably, the intent
* here is to copy the object pointed to
* by @p b to the object pointed to by
* @p a. However, the result of
* dereferencing an iterator is not an
* object but an accessor; consequently,
* this operation is not useful for
* iterators on triangulations. We
* declare this function here private,
* thus it may not be used from outside.
* Furthermore it is not implemented and
* will give a linker error if used
* anyway.
*/
DoFCellAccessor<DH, level_dof_access> &
operator = (const DoFCellAccessor<DH, level_dof_access> &da);
/**
* Make the DoFHandler class a
* friend so that it can call the
* update_cell_dof_indices_cache()
* function
*/
template <int dim, int spacedim> friend class DoFHandler;
friend struct dealii::internal::DoFCellAccessor::Implementation;
};
template <int sd, class DH, bool lda>
inline
bool
DoFAccessor<sd, DH, lda>::is_level_cell()
{
return lda;
}
DEAL_II_NAMESPACE_CLOSE
// include more templates
#include "dof_accessor.templates.h"
#endif
|