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// $Id: dof_faces.h 31932 2013-12-08 02:15:54Z heister $
//
// Copyright (C) 2006 - 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_faces_h
#define __deal2__hp_dof_faces_h
#include <deal.II/base/config.h>
#include <deal.II/hp/fe_collection.h>
#include <vector>
DEAL_II_NAMESPACE_OPEN
namespace hp
{
template <int dim, int spacedim>
class FECollection;
}
namespace internal
{
namespace hp
{
/**
* Store the indices of the degrees of freedom which are located on
* objects of dimension @p structdim < dim, i.e., for faces or edges
* of cells. This is opposed to the internal::hp::DoFLevels class
* that stores the DoF indices on cells.
*
* The things we store here is very similar to what is stored in the
* internal::DoFHandler::DoFObjects classes (see there for more
* information, in particular on the layout of the class hierarchy,
* and the use of file names).
*
* <h4>Offset computations</h4>
*
* For hp methods, not all cells may use the same finite element, and
* it is consequently more complicated to determine where the DoF
* indices for a given line, quad, or hex are stored. As described in
* the documentation of the internal::DoFHandler::DoFLevel class, we
* can compute the location of the first line DoF, for example, by
* calculating the offset as <code>line_index *
* dof_handler.get_fe().dofs_per_line</code>. This of course doesn't
* work any more if different lines may have different numbers of
* degrees of freedom associated with them. Consequently, rather than
* using this simple multiplication, the dofs array has an associated
* array dof_offsets. The data corresponding to a
* line then starts at index <code>line_dof_offsets[line_index]</code>
* within the <code>line_dofs</code> array.
*
*
* <h4>Multiple data sets per object</h4>
*
* If two adjacent cells use different finite elements, then
* the face that they share needs to store DoF indices for both
* involved finite elements. While faces therefore have to have at
* most two sets of DoF indices, it is easy to see that edges and
* vertices can have as many sets of DoF indices associated with them
* as there are adjacent cells.
*
* Consequently, for objects that have a lower dimensionality than
* cells, we have to store a map from the finite element index to the
* set of DoF indices associated. Since real sets are typically very
* inefficient to store, and since most of the time we expect the
* number of individual keys to be small (frequently, adjacent cells
* will have the same finite element, and only a single entry will
* exist in the map), what we do is instead to store a linked list. In
* this format, the first entry starting at position
* <code>lines.dofs[lines.dof_offsets[line_index]]</code> will denote
* the finite element index of the set of DoF indices following; after
* this set, we will store the finite element index of the second set
* followed by the corresponding DoF indices; and so on. Finally, when
* all finite element indices adjacent to this object have been
* covered, we write a -1 to indicate the end of the list.
*
* Access to this kind of data, as well as the distinction between
* cells and objects of lower dimensionality are encoded in the
* accessor functions, DoFObjects::set_dof_index() and
* DoFLevel::get_dof_index(). They are able to traverse this
* list and pick out or set a DoF index given the finite element index
* and its location within the set of DoFs corresponding to this
* finite element.
*
*
* @ingroup hp
* @author Tobias Leicht, 2006
*/
template <int structdim>
class DoFIndicesOnFacesOrEdges
{
public:
/**
* Store the start index for
* the degrees of freedom of each
* object in the @p dofs array.
*
* The type we store is then obviously the type the @p dofs array
* uses for indexing.
*/
std::vector<unsigned int> dof_offsets;
/**
* Store the global indices of
* the degrees of freedom. See
* DoFLevel() for detailed
* information.
*/
std::vector<types::global_dof_index> dofs;
/**
* Set the global index of
* the @p local_index-th
* degree of freedom located
* on the object with number @p
* obj_index to the value
* given by @p global_index. The @p
* dof_handler argument is
* used to access the finite
* element that is to be used
* to compute the location
* where this data is stored.
*
* The third argument, @p
* fe_index, denotes which of
* the finite elements
* associated with this
* object we shall
* access. Refer to the
* general documentation of
* the internal::hp::DoFLevel
* class template for more
* information.
*/
template <int dim, int spacedim>
void
set_dof_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int local_index,
const types::global_dof_index global_index,
const unsigned int obj_level);
/**
* Return the global index of
* the @p local_index-th
* degree of freedom located
* on the object with number @p
* obj_index. The @p
* dof_handler argument is
* used to access the finite
* element that is to be used
* to compute the location
* where this data is stored.
*
* The third argument, @p
* fe_index, denotes which of
* the finite elements
* associated with this
* object we shall
* access. Refer to the
* general documentation of
* the internal::hp::DoFLevel
* class template for more
* information.
*/
template <int dim, int spacedim>
types::global_dof_index
get_dof_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int local_index,
const unsigned int obj_level) const;
/**
* Return the number of
* finite elements that are
* active on a given
* object. 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.
*
* If the object is not part
* of an active cell, then no
* degrees of freedom have
* been distributed and zero
* is returned.
*/
template <int dim, int spacedim>
unsigned int
n_active_fe_indices (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index) const;
/**
* Return the fe_index of the
* n-th active finite element
* on this object.
*/
template <int dim, int spacedim>
types::global_dof_index
nth_active_fe_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_level,
const unsigned int obj_index,
const unsigned int n) const;
/**
* Check whether a given
* finite element index is
* used on the present
* object or not.
*/
template <int dim, int spacedim>
bool
fe_index_is_active (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int obj_level) const;
/**
* Determine an estimate for the
* memory consumption (in bytes)
* of this object.
*/
std::size_t memory_consumption () const;
};
/**
* These classes are similar to the internal::hp::DoFLevel classes. We here store
* information that is associated with faces, rather than cells, as this information is
* independent of the hierarchical structure of cells, which are organized in levels. In 2D
* we store information on degrees of freedom located on lines whereas in 3D we store
* information on drefrees of freedom located on quads and lines. In 1D we do nothing, as
* the faces of lines are vertices which are treated separately.
*
* Apart from the internal::hp::DoFObjects object containing the data to store
* (degree of freedom indices) and all the access-functionality to this data, we do not
* store any data or provide any functionality. However, we do implement a function to
* determine an estimate of the memory consumption of the contained
* internal::hp::DoFObjects object(s).
*
* The data contained isn't usually directly accessed. Rather, except for some access from
* the DoFHandler class, access is usually through the DoFAccessor::set_dof_index() and
* DoFAccessor::dof_index() functions or similar functions of derived classes that in turn
* access the member variables using the DoFHandler::get_dof_index() and corresponding
* setter functions. Knowledge of the actual data format is therefore encapsulated to the
* present hierarchy of classes as well as the ::DoFHandler class.
*
* @ingroup dofs
* @author Tobias Leicht, 2006
*/
template<int dim>
class DoFIndicesOnFaces;
/**
* Store the indices of degrees of freedom on faces in 1D. As these would be vertices, which
* are treated separately, don't do anything.
*
* @ingroup hp
* @author Tobias Leicht, 2006
*/
template<>
class DoFIndicesOnFaces<1>
{
public:
/**
* Determine an estimate for the
* memory consumption (in bytes)
* of this object.
*/
std::size_t memory_consumption () const;
};
/**
* Store the indices of degrees of freedom on faces in 2D, which are lines.
*
* @ingroup hp
* @author Tobias Leicht, 2006
*/
template<>
class DoFIndicesOnFaces<2>
{
public:
/**
* Indices of DoFs on the lines that bound cells.
*/
internal::hp::DoFIndicesOnFacesOrEdges<1> lines;
/**
* Determine an estimate for the
* memory consumption (in bytes)
* of this object.
*/
std::size_t memory_consumption () const;
};
/**
* Store the indices of degrees of freedom on faces in 3D, which are
* quads, additionally also on lines.
*
* @ingroup hp
* @author Tobias Leicht, 2006
*/
template<>
class DoFIndicesOnFaces<3>
{
public:
/**
* Indices of DoFs on the lines that form the edges of cells.
*/
internal::hp::DoFIndicesOnFacesOrEdges<1> lines;
/**
* Indices of DoFs on the quads that bound cells.
*/
internal::hp::DoFIndicesOnFacesOrEdges<2> quads;
/**
* Determine an estimate for the
* memory consumption (in bytes)
* of this object.
*/
std::size_t memory_consumption () const;
};
// --------------------- inline and template functions ------------------
template <int structdim>
template <int dim, int spacedim>
inline
types::global_dof_index
DoFIndicesOnFacesOrEdges<structdim>::
get_dof_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int local_index,
const unsigned int obj_level) const
{
Assert ((fe_index != dealii::hp::DoFHandler<dim,spacedim>::default_fe_index),
ExcMessage ("You need to specify a FE index when working "
"with hp DoFHandlers"));
Assert (&dof_handler != 0,
ExcMessage ("No DoFHandler is specified for this iterator"));
Assert (&dof_handler.get_fe() != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
Assert (fe_index < dof_handler.get_fe().size(),
ExcIndexRange (fe_index, 0, dof_handler.get_fe().size()));
Assert (local_index <
dof_handler.get_fe()[fe_index].template n_dofs_per_object<structdim>(),
ExcIndexRange(local_index, 0,
dof_handler.get_fe()[fe_index]
.template n_dofs_per_object<structdim>()));
Assert (obj_index < dof_offsets.size(),
ExcIndexRange (obj_index, 0, dof_offsets.size()));
// make sure we are on an
// object for which DoFs have
// been allocated at all
Assert (dof_offsets[obj_index] != numbers::invalid_unsigned_int,
ExcMessage ("You are trying to access degree of freedom "
"information for an object on which no such "
"information is available"));
Assert (structdim<dim, ExcMessage ("This object can not be used for cells."));
// there may be multiple finite elements associated with
// this object. hop along the list of index sets until we
// find the one with the correct fe_index, and then poke
// into that part. trigger an exception if we can't find a
// set for this particular fe_index
const types::global_dof_index starting_offset = dof_offsets[obj_index];
const types::global_dof_index *pointer = &dofs[starting_offset];
while (true)
{
Assert (*pointer != numbers::invalid_dof_index,
ExcInternalError());
if (*pointer == fe_index)
return *(pointer + 1 + local_index);
else
pointer += static_cast<types::global_dof_index>(
dof_handler.get_fe()[*pointer]
.template n_dofs_per_object<structdim>() + 1);
}
}
template <int structdim>
template <int dim, int spacedim>
inline
void
DoFIndicesOnFacesOrEdges<structdim>::
set_dof_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int local_index,
const types::global_dof_index global_index,
const unsigned int obj_level)
{
Assert ((fe_index != dealii::hp::DoFHandler<dim,spacedim>::default_fe_index),
ExcMessage ("You need to specify a FE index when working "
"with hp DoFHandlers"));
Assert (&dof_handler != 0,
ExcMessage ("No DoFHandler is specified for this iterator"));
Assert (&dof_handler.get_fe() != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
Assert (fe_index < dof_handler.get_fe().size(),
ExcIndexRange (fe_index, 0, dof_handler.get_fe().size()));
Assert (local_index <
dof_handler.get_fe()[fe_index].template n_dofs_per_object<structdim>(),
ExcIndexRange(local_index, 0,
dof_handler.get_fe()[fe_index]
.template n_dofs_per_object<structdim>()));
Assert (obj_index < dof_offsets.size(),
ExcIndexRange (obj_index, 0, dof_offsets.size()));
// make sure we are on an
// object for which DoFs have
// been allocated at all
Assert (dof_offsets[obj_index] != numbers::invalid_unsigned_int,
ExcMessage ("You are trying to access degree of freedom "
"information for an object on which no such "
"information is available"));
Assert (structdim<dim, ExcMessage ("This object can not be used for cells."));
// there may be multiple finite elements associated with
// this object. hop along the list of index sets until we
// find the one with the correct fe_index, and then poke
// into that part. trigger an exception if we can't find a
// set for this particular fe_index
const types::global_dof_index starting_offset = dof_offsets[obj_index];
types::global_dof_index *pointer = &dofs[starting_offset];
while (true)
{
Assert (*pointer != numbers::invalid_dof_index,
ExcInternalError());
if (*pointer == fe_index)
{
*(pointer + 1 + local_index) = global_index;
return;
}
else
pointer += dof_handler.get_fe()[*pointer]
.template n_dofs_per_object<structdim>() + 1;
}
}
template <int structdim>
template <int dim, int spacedim>
inline
unsigned int
DoFIndicesOnFacesOrEdges<structdim>::
n_active_fe_indices (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index) const
{
Assert (&dof_handler != 0,
ExcMessage ("No DoFHandler is specified for this iterator"));
Assert (&dof_handler.get_fe() != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
Assert (obj_index < dof_offsets.size(),
ExcIndexRange (obj_index, 0, dof_offsets.size()));
// make sure we are on an
// object for which DoFs have
// been allocated at all
if (dof_offsets[obj_index] == numbers::invalid_unsigned_int)
return 0;
Assert (structdim<dim, ExcMessage ("This object can not be used for cells."));
// there may be multiple finite elements associated with this
// object. hop along the list of index sets until we find the
// one with the correct fe_index, and then poke into that
// part. trigger an exception if we can't find a set for this
// particular fe_index
const unsigned int starting_offset = dof_offsets[obj_index];
const types::global_dof_index *pointer = &dofs[starting_offset];
unsigned int counter = 0;
while (true)
{
if (*pointer == numbers::invalid_dof_index)
// end of list reached
return counter;
else
{
++counter;
pointer += dof_handler.get_fe()[*pointer]
.template n_dofs_per_object<structdim>() + 1;
}
}
}
template <int structdim>
template <int dim, int spacedim>
inline
types::global_dof_index
DoFIndicesOnFacesOrEdges<structdim>::
nth_active_fe_index (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_level,
const unsigned int obj_index,
const unsigned int n) const
{
Assert (&dof_handler != 0,
ExcMessage ("No DoFHandler is specified for this iterator"));
Assert (&dof_handler.get_fe() != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
Assert (obj_index < dof_offsets.size(),
ExcIndexRange (obj_index, 0, dof_offsets.size()));
// make sure we are on an
// object for which DoFs have
// been allocated at all
Assert (dof_offsets[obj_index] != numbers::invalid_unsigned_int,
ExcMessage ("You are trying to access degree of freedom "
"information for an object on which no such "
"information is available"));
Assert (structdim<dim, ExcMessage ("This object can not be used for cells."));
Assert (n < n_active_fe_indices(dof_handler, obj_index),
ExcIndexRange (n, 0,
n_active_fe_indices(dof_handler, obj_index)));
// there may be multiple finite elements associated with
// this object. hop along the list of index sets until we
// find the one with the correct fe_index, and then poke
// into that part. trigger an exception if we can't find a
// set for this particular fe_index
const unsigned int starting_offset = dof_offsets[obj_index];
const types::global_dof_index *pointer = &dofs[starting_offset];
unsigned int counter = 0;
while (true)
{
Assert (*pointer != numbers::invalid_dof_index,
ExcInternalError());
const unsigned int fe_index = *pointer;
Assert (fe_index < dof_handler.get_fe().size(),
ExcInternalError());
if (counter == n)
return fe_index;
++counter;
pointer += dof_handler.get_fe()[fe_index]
.template n_dofs_per_object<structdim>() + 1;
}
}
template <int structdim>
template <int dim, int spacedim>
inline
bool
DoFIndicesOnFacesOrEdges<structdim>::
fe_index_is_active (const dealii::hp::DoFHandler<dim,spacedim> &dof_handler,
const unsigned int obj_index,
const unsigned int fe_index,
const unsigned int obj_level) const
{
Assert (&dof_handler != 0,
ExcMessage ("No DoFHandler is specified for this iterator"));
Assert (&dof_handler.get_fe() != 0,
ExcMessage ("No finite element collection is associated with "
"this DoFHandler"));
Assert (obj_index < dof_offsets.size(),
ExcIndexRange (obj_index, 0, static_cast<unsigned int>(dof_offsets.size())));
Assert ((fe_index != dealii::hp::DoFHandler<dim,spacedim>::default_fe_index),
ExcMessage ("You need to specify a FE index when working "
"with hp DoFHandlers"));
Assert (fe_index < dof_handler.get_fe().size(),
ExcIndexRange (fe_index, 0, dof_handler.get_fe().size()));
// make sure we are on an
// object for which DoFs have
// been allocated at all
Assert (dof_offsets[obj_index] != numbers::invalid_unsigned_int,
ExcMessage ("You are trying to access degree of freedom "
"information for an object on which no such "
"information is available"));
Assert (structdim<dim, ExcMessage ("This object can not be used for cells."));
// there may be multiple finite elements associated with
// this object. hop along the list of index sets until we
// find the one with the correct fe_index, and then poke
// into that part. trigger an exception if we can't find a
// set for this particular fe_index
const types::global_dof_index starting_offset = dof_offsets[obj_index];
const types::global_dof_index *pointer = &dofs[starting_offset];
while (true)
{
if (*pointer == numbers::invalid_dof_index)
// end of list reached
return false;
else if (*pointer == fe_index)
return true;
else
pointer += static_cast<types::global_dof_index>(
dof_handler.get_fe()[*pointer]
.template n_dofs_per_object<structdim>()+1);
}
}
} // namespace hp
} // namespace internal
DEAL_II_NAMESPACE_CLOSE
#endif
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