Reference documentation for deal.II version 9.4.1
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#include <deal.II/hp/fe_values.h>
Public Member Functions | |
FEFaceValues (const hp::MappingCollection< dim, spacedim > &mapping_collection, const hp::FECollection< dim, spacedim > &fe_collection, const hp::QCollection< dim - 1 > &q_collection, const UpdateFlags update_flags) | |
FEFaceValues (const hp::MappingCollection< dim, spacedim > &mapping_collection, const hp::FECollection< dim, spacedim > &fe_collection, const std::vector< hp::QCollection< dim - 1 > > &q_collections, const UpdateFlags update_flags) | |
FEFaceValues (const hp::FECollection< dim, spacedim > &fe_collection, const hp::QCollection< dim - 1 > &q_collection, const UpdateFlags update_flags) | |
FEFaceValues (const hp::FECollection< dim, spacedim > &fe_collection, const std::vector< hp::QCollection< dim - 1 > > &q_collections, const UpdateFlags update_flags) | |
template<bool lda> | |
void | reinit (const TriaIterator< DoFCellAccessor< dim, spacedim, lda > > &cell, const unsigned int face_no, const unsigned int q_index=numbers::invalid_unsigned_int, const unsigned int mapping_index=numbers::invalid_unsigned_int, const unsigned int fe_index=numbers::invalid_unsigned_int) |
template<bool lda> | |
void | reinit (const TriaIterator< DoFCellAccessor< dim, spacedim, lda > > &cell, const typename Triangulation< dim, spacedim >::face_iterator &face, const unsigned int q_index=numbers::invalid_unsigned_int, const unsigned int mapping_index=numbers::invalid_unsigned_int, const unsigned int fe_index=numbers::invalid_unsigned_int) |
void | reinit (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int q_index=numbers::invalid_unsigned_int, const unsigned int mapping_index=numbers::invalid_unsigned_int, const unsigned int fe_index=numbers::invalid_unsigned_int) |
void | reinit (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const typename Triangulation< dim, spacedim >::face_iterator &face, const unsigned int q_index=numbers::invalid_unsigned_int, const unsigned int mapping_index=numbers::invalid_unsigned_int, const unsigned int fe_index=numbers::invalid_unsigned_int) |
void | precalculate_fe_values (const std::vector< unsigned int > &fe_indices, const std::vector< unsigned int > &mapping_indices, const std::vector< unsigned int > &q_indices) |
void | precalculate_fe_values () |
const FECollection< dim, FEValuesType::space_dimension > & | get_fe_collection () const |
const MappingCollection< dim, FEValuesType::space_dimension > & | get_mapping_collection () const |
const QCollection< q_dim > & | get_quadrature_collection () const |
UpdateFlags | get_update_flags () const |
const FEValuesType & | get_present_fe_values () const |
Protected Member Functions | |
FEValuesType & | select_fe_values (const unsigned int fe_index, const unsigned int mapping_index, const unsigned int q_index) |
Protected Attributes | |
const SmartPointer< const FECollection< dim, FEValuesType::space_dimension >, FEValuesBase< dim, q_dim, FEValuesType > > | fe_collection |
const SmartPointer< const MappingCollection< dim, FEValuesType::space_dimension >, FEValuesBase< dim, q_dim, FEValuesType > > | mapping_collection |
const QCollection< q_dim > | q_collection |
const std::vector< QCollection< q_dim > > | q_collections |
Private Attributes | |
Table< 3, std::unique_ptr< FEValuesType > > | fe_values_table |
TableIndices< 3 > | present_fe_values_index |
const UpdateFlags | update_flags |
Subscriptor functionality | |
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class. | |
void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
unsigned int | n_subscriptions () const |
template<typename StreamType > | |
void | list_subscribers (StreamType &stream) const |
void | list_subscribers () const |
template<class Archive > | |
void | serialize (Archive &ar, const unsigned int version) |
std::atomic< unsigned int > | counter |
std::map< std::string, unsigned int > | counter_map |
std::vector< std::atomic< bool > * > | validity_pointers |
const std::type_info * | object_info |
using | map_value_type = decltype(counter_map)::value_type |
using | map_iterator = decltype(counter_map)::iterator |
static std::mutex | mutex |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
void | check_no_subscribers () const noexcept |
This is the equivalent of the hp::FEValues class but for face integrations, i.e. it is to hp::FEValues what FEFaceValues is to FEValues.
The same comments apply as in the documentation of the hp::FEValues class. However, it is important to note that it is here more common that one would want to explicitly specify an index to a particular quadrature formula in the reinit() functions. This is because the default index corresponds to the finite element index on the current function. On the other hand, integration on faces will typically have to happen with a quadrature formula that is adjusted to the finite elements used on both sides of a face. If one sorts the elements of the hp::FECollection with ascending polynomial degree, and matches these finite elements with corresponding quadrature formulas in the hp::QCollection passed to the constructor, then the quadrature index passed to the reinit() function should typically be something like std::max (cell->active_fe_index(), neighbor->active_fe_index()
to ensure that a quadrature formula is chosen that is sufficiently accurate for both finite elements.
Definition at line 439 of file fe_values.h.
FEFaceValues< dim, spacedim >::FEFaceValues | ( | const hp::MappingCollection< dim, spacedim > & | mapping_collection, |
const hp::FECollection< dim, spacedim > & | fe_collection, | ||
const hp::QCollection< dim - 1 > & | q_collection, | ||
const UpdateFlags | update_flags | ||
) |
Constructor. Initialize this object with the given parameters.
Definition at line 371 of file fe_values.cc.
FEFaceValues< dim, spacedim >::FEFaceValues | ( | const hp::MappingCollection< dim, spacedim > & | mapping_collection, |
const hp::FECollection< dim, spacedim > & | fe_collection, | ||
const std::vector< hp::QCollection< dim - 1 > > & | q_collections, | ||
const UpdateFlags | update_flags | ||
) |
Like the function above, but taking a vector of collection of quadrature rules. This allows to assign each face a different quadrature rule: the ith entry of a collection is used as the face quadrature rule on the ith face.
In the case that the collections only contains a single face quadrature, this quadrature rule is use on all faces.
Definition at line 384 of file fe_values.cc.
FEFaceValues< dim, spacedim >::FEFaceValues | ( | const hp::FECollection< dim, spacedim > & | fe_collection, |
const hp::QCollection< dim - 1 > & | q_collection, | ||
const UpdateFlags | update_flags | ||
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Constructor. This constructor is equivalent to the other one except that it makes the object use a \(Q_1\) mapping (i.e., an object of type MappingQ(1)) implicitly.
Definition at line 398 of file fe_values.cc.
FEFaceValues< dim, spacedim >::FEFaceValues | ( | const hp::FECollection< dim, spacedim > & | fe_collection, |
const std::vector< hp::QCollection< dim - 1 > > & | q_collections, | ||
const UpdateFlags | update_flags | ||
) |
Like the function above, but taking a vector of collection of quadrature rules. This allows to assign each face a different quadrature rule: the ith entry of a collection is used as the face quadrature rule on the ith face.
In the case that the collections only contains a single face quadrature, this quadrature rule is use on all faces.
Definition at line 410 of file fe_values.cc.
void FEFaceValues< dim, spacedim >::reinit | ( | const TriaIterator< DoFCellAccessor< dim, spacedim, lda > > & | cell, |
const unsigned int | face_no, | ||
const unsigned int | q_index = numbers::invalid_unsigned_int , |
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const unsigned int | mapping_index = numbers::invalid_unsigned_int , |
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const unsigned int | fe_index = numbers::invalid_unsigned_int |
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Reinitialize the object for the given cell and face.
After the call, you can get an FEFaceValues object using the get_present_fe_values() function that corresponds to the present cell. For this FEFaceValues object, we use the additional arguments described below to determine which finite element, mapping, and quadrature formula to use. They are order in such a way that the arguments one may want to change most frequently come first. The rules for these arguments are as follows:
If the fe_index
argument to this function is left at its default value, then we use that finite element within the hp::FECollection passed to the constructor of this class with index given by cell->active_fe_index()
. Consequently, the hp::FECollection argument given to this object should really be the same as that used in the construction of the DoFHandler associated with the present cell. On the other hand, if a value is given for this argument, it overrides the choice of cell->active_fe_index()
.
If the q_index
argument is left at its default value, then we use that quadrature formula within the hp::QCollection passed to the constructor of this class with index given by cell->active_fe_index()
, i.e. the same index as that of the finite element. In this case, there should be a corresponding quadrature formula for each finite element in the hp::FECollection. As a special case, if the quadrature collection contains only a single element (a frequent case if one wants to use the same quadrature object for all finite elements in an hp-discretization, even if that may not be the most efficient), then this single quadrature is used unless a different value for this argument is specified. On the other hand, if a value is given for this argument, it overrides the choice of cell->active_fe_index()
or the choice for the single quadrature.
If the mapping_index
argument is left at its default value, then we use that mapping object within the hp::MappingCollection passed to the constructor of this class with index given by cell->active_fe_index()
, i.e. the same index as that of the finite element. As above, if the mapping collection contains only a single element (a frequent case if one wants to use a \(Q_1\) mapping for all finite elements in an hp-discretization), then this single mapping is used unless a different value for this argument is specified.
Definition at line 424 of file fe_values.cc.
void FEFaceValues< dim, spacedim >::reinit | ( | const TriaIterator< DoFCellAccessor< dim, spacedim, lda > > & | cell, |
const typename Triangulation< dim, spacedim >::face_iterator & | face, | ||
const unsigned int | q_index = numbers::invalid_unsigned_int , |
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const unsigned int | mapping_index = numbers::invalid_unsigned_int , |
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const unsigned int | fe_index = numbers::invalid_unsigned_int |
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) |
Reinitialize the object for the given cell and face.
face
must be one of cell's
face iterators. Definition at line 470 of file fe_values.cc.
void FEFaceValues< dim, spacedim >::reinit | ( | const typename Triangulation< dim, spacedim >::cell_iterator & | cell, |
const unsigned int | face_no, | ||
const unsigned int | q_index = numbers::invalid_unsigned_int , |
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const unsigned int | mapping_index = numbers::invalid_unsigned_int , |
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const unsigned int | fe_index = numbers::invalid_unsigned_int |
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) |
Like the previous function, but for non-DoFHandler iterators. The reason this function exists is so that one can use this class for Triangulation objects too.
Since cell->active_fe_index()
doesn't make sense for triangulation iterators, this function chooses the zero-th finite element, mapping, and quadrature object from the relevant constructions passed to the constructor of this object. The only exception is if you specify a value different from the default value for any of these last three arguments.
Definition at line 485 of file fe_values.cc.
void FEFaceValues< dim, spacedim >::reinit | ( | const typename Triangulation< dim, spacedim >::cell_iterator & | cell, |
const typename Triangulation< dim, spacedim >::face_iterator & | face, | ||
const unsigned int | q_index = numbers::invalid_unsigned_int , |
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const unsigned int | mapping_index = numbers::invalid_unsigned_int , |
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const unsigned int | fe_index = numbers::invalid_unsigned_int |
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) |
Reinitialize the object for the given cell and face.
face
must be one of cell's
face iterators. Definition at line 520 of file fe_values.cc.
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inherited |
For timing purposes it may be useful to create all required FE*Values objects in advance, rather than computing them on request via lazy allocation as usual in this class.
This function precalculates the FE*Values objects corresponding to the provided parameters: The total of all vector entries corresponding to the same index describes an FE*Values object similarly to select_fe_values().
Definition at line 206 of file fe_values.cc.
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inherited |
Same as above, geared to the most common use of hp::FEValues objects in which FE, quadrature and mapping indices are similar on each individual cell.
FE*Values objects are created for every FE in the FECollection, with quadrature and mapping corresponding to the same index from the QuadratureCollection and MappingCollection, respectively.
If QuadratureCollection or MappingCollection contains only one object, it is used for all FE*Values objects.
Definition at line 243 of file fe_values.cc.
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inlineinherited |
Get a reference to the collection of finite element objects used here.
Definition at line 702 of file fe_values.h.
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inlineinherited |
Get a reference to the collection of mapping objects used here.
Definition at line 711 of file fe_values.h.
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inlineinherited |
Get a reference to the collection of quadrature objects used here.
Definition at line 720 of file fe_values.h.
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inlineinherited |
Get the underlying update flags.
Definition at line 729 of file fe_values.h.
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inlineinherited |
Return a reference to the FEValues
object selected by the last call to select_fe_values(). select_fe_values() in turn is called when you called the reinit
function of the hp::FE*Values
class the last time.
Definition at line 693 of file fe_values.h.
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protectedinherited |
Select a FEValues object suitable for the given FE, quadrature, and mapping indices. If such an object doesn't yet exist, create one.
The function returns a writable reference so that derived classes can also reinit() the selected FEValues object.
Definition at line 176 of file fe_values.cc.
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protectedinherited |
A pointer to the collection of finite elements to be used.
Definition at line 209 of file fe_values.h.
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protectedinherited |
A pointer to the collection of mappings to be used.
Definition at line 217 of file fe_values.h.
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protectedinherited |
Copy of the quadrature collection object provided to the constructor.
Definition at line 222 of file fe_values.h.
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protectedinherited |
Vector of quadrature collections. For hp::FEFaceValues, the ith entry of the quadrature collections are interpreted as the face quadrature rules to be applied the ith face.
The variable q_collection collects the first quadrature rule of each quadrature collection of the vector.
Definition at line 232 of file fe_values.h.
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privateinherited |
A table in which we store pointers to fe_values objects for different finite element, mapping, and quadrature objects from our collection. The first index indicates the index of the finite element within the fe_collection, the second the index of the mapping within the mapping collection, and the last one the index of the quadrature formula within the q_collection.
Initially, all entries have zero pointers, and we will allocate them lazily as needed in select_fe_values() or precalculate_fe_values().
Definition at line 246 of file fe_values.h.
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privateinherited |
Set of indices pointing at the fe_values object selected last time the select_fe_value() function was called.
Definition at line 252 of file fe_values.h.
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privateinherited |
Values of the update flags as given to the constructor.
Definition at line 257 of file fe_values.h.