grid_tools.h File Reference

#include <deal.II/base/config.h>
#include <deal.II/base/bounding_box.h>
#include <deal.II/base/geometry_info.h>
#include <deal.II/base/std_cxx17/optional.h>
#include <deal.II/boost_adaptors/bounding_box.h>
#include <deal.II/distributed/shared_tria.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/mapping.h>
#include <deal.II/fe/mapping_q1.h>
#include <deal.II/grid/manifold.h>
#include <deal.II/grid/tria.h>
#include <deal.II/grid/tria_accessor.h>
#include <deal.II/grid/tria_iterator.h>
#include <deal.II/hp/dof_handler.h>
#include <deal.II/lac/la_parallel_vector.h>
#include <deal.II/lac/la_vector.h>
#include <deal.II/lac/petsc_vector.h>
#include <deal.II/lac/sparsity_tools.h>
#include <deal.II/lac/trilinos_vector.h>
#include <deal.II/numerics/rtree.h>
#include <boost/archive/binary_iarchive.hpp>
#include <boost/archive/binary_oarchive.hpp>
#include <boost/random/mersenne_twister.hpp>
#include <boost/serialization/array.hpp>
#include <boost/serialization/vector.hpp>
#include <boost/iostreams/device/back_inserter.hpp>
#include <boost/iostreams/filter/gzip.hpp>
#include <boost/iostreams/filtering_stream.hpp>
#include <boost/iostreams/stream.hpp>
#include <bitset>
#include <list>
#include <set>

Go to the source code of this file.

Classes
class	internal::ActiveCellIterator< dim, spacedim, MeshType >
struct	GridTools::internal::DistributedComputePointLocationsInternal< dim, spacedim >
struct	GridTools::PeriodicFacePair< CellIterator >
struct	GridTools::CellDataTransferBuffer< dim, T >
class	GridTools::MarchingCubeAlgorithm< dim, VectorType >

Namespaces
namespace	internal
namespace	GridTools
namespace	GridTools::internal

Functions
template<int dim, int spacedim>
DistributedComputePointLocationsInternal< dim, spacedim >	GridTools::internal::distributed_compute_point_locations (const GridTools::Cache< dim, spacedim > &cache, const std::vector< Point< spacedim > > &points, const std::vector< std::vector< BoundingBox< spacedim > > > &global_bboxes, const double tolerance, const bool perform_handshake, const bool enforce_unique_mapping=false)
static ::ExceptionBase &	ExcMeshNotOrientable ()
Information about meshes and cells
template<int dim, int spacedim>
double	GridTools::diameter (const Triangulation< dim, spacedim > &tria)
template<int dim, int spacedim>
double	GridTools::volume (const Triangulation< dim, spacedim > &tria, const Mapping< dim, spacedim > &mapping=(ReferenceCells::get_hypercube< dim >() .template get_default_linear_mapping< dim, spacedim >()))
template<int dim, int spacedim>
double	GridTools::minimal_cell_diameter (const Triangulation< dim, spacedim > &triangulation, const Mapping< dim, spacedim > &mapping=(ReferenceCells::get_hypercube< dim >() .template get_default_linear_mapping< dim, spacedim >()))
template<int dim, int spacedim>
double	GridTools::maximal_cell_diameter (const Triangulation< dim, spacedim > &triangulation, const Mapping< dim, spacedim > &mapping=(ReferenceCells::get_hypercube< dim >() .template get_default_linear_mapping< dim, spacedim >()))
template<int dim>
double	GridTools::cell_measure (const std::vector< Point< dim > > &all_vertices, const unsigned int(&vertex_indices)[GeometryInfo< dim >::vertices_per_cell])
template<int dim>
double	GridTools::cell_measure (const std::vector< Point< dim > > &all_vertices, const ArrayView< const unsigned int > &vertex_indices)
template<int dim, int spacedim>
std::pair< DerivativeForm< 1, dim, spacedim >, Tensor< 1, spacedim > >	GridTools::affine_cell_approximation (const ArrayView< const Point< spacedim > > &vertices)
template<int dim>
Vector< double >	GridTools::compute_aspect_ratio_of_cells (const Mapping< dim > &mapping, const Triangulation< dim > &triangulation, const Quadrature< dim > &quadrature)
template<int dim>
double	GridTools::compute_maximum_aspect_ratio (const Mapping< dim > &mapping, const Triangulation< dim > &triangulation, const Quadrature< dim > &quadrature)
template<int dim, int spacedim>
BoundingBox< spacedim >	GridTools::compute_bounding_box (const Triangulation< dim, spacedim > &triangulation)
template<typename Iterator >
Point< Iterator::AccessorType::space_dimension >	GridTools::project_to_object (const Iterator &object, const Point< Iterator::AccessorType::space_dimension > &trial_point)
template<int dim, int spacedim>
std::tuple< std::vector< Point< spacedim > >, std::vector< CellData< dim > >, SubCellData >	GridTools::get_coarse_mesh_description (const Triangulation< dim, spacedim > &tria)
Functions supporting the creation of meshes
template<int dim, int spacedim>
void	GridTools::delete_unused_vertices (std::vector< Point< spacedim > > &vertices, std::vector< CellData< dim > > &cells, SubCellData &subcelldata)
template<int dim, int spacedim>
void	GridTools::delete_duplicated_vertices (std::vector< Point< spacedim > > &all_vertices, std::vector< CellData< dim > > &cells, SubCellData &subcelldata, std::vector< unsigned int > &considered_vertices, const double tol=1e-12)
template<int dim, int spacedim>
void	GridTools::invert_all_negative_measure_cells (const std::vector< Point< spacedim > > &all_vertices, std::vector< CellData< dim > > &cells)
template<int dim>
void	GridTools::consistently_order_cells (std::vector< CellData< dim > > &cells)
Rotating, stretching and otherwise transforming meshes
template<int dim, typename Transformation , int spacedim>
void	GridTools::transform (const Transformation &transformation, Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
void	GridTools::shift (const Tensor< 1, spacedim > &shift_vector, Triangulation< dim, spacedim > &triangulation)
template<int dim>
void	GridTools::rotate (const double angle, Triangulation< dim > &triangulation)
template<int dim>
void	GridTools::rotate (const double angle, const unsigned int axis, Triangulation< dim, 3 > &triangulation)
template<int dim>
void	GridTools::laplace_transform (const std::map< unsigned int, Point< dim > > &new_points, Triangulation< dim > &tria, const Function< dim, double > *coefficient=nullptr, const bool solve_for_absolute_positions=false)
template<int dim, int spacedim>
std::map< unsigned int, Point< spacedim > >	GridTools::get_all_vertices_at_boundary (const Triangulation< dim, spacedim > &tria)
template<int dim, int spacedim>
void	GridTools::scale (const double scaling_factor, Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
void	GridTools::distort_random (const double factor, Triangulation< dim, spacedim > &triangulation, const bool keep_boundary=true, const unsigned int seed=boost::random::mt19937::default_seed)
template<int dim, int spacedim>
void	GridTools::remove_hanging_nodes (Triangulation< dim, spacedim > &tria, const bool isotropic=false, const unsigned int max_iterations=100)
template<int dim, int spacedim>
void	GridTools::remove_anisotropy (Triangulation< dim, spacedim > &tria, const double max_ratio=1.6180339887, const unsigned int max_iterations=5)
template<int dim, int spacedim>
void	GridTools::regularize_corner_cells (Triangulation< dim, spacedim > &tria, const double limit_angle_fraction=.75)
Finding cells and vertices of a triangulation
template<int dim, int spacedim>
return_type	GridTools::compute_point_locations (const Cache< dim, spacedim > &cache, const std::vector< Point< spacedim > > &points, const typename Triangulation< dim, spacedim >::active_cell_iterator &cell_hint=typename Triangulation< dim, spacedim >::active_cell_iterator())
template<int dim, int spacedim>
return_type	GridTools::compute_point_locations_try_all (const Cache< dim, spacedim > &cache, const std::vector< Point< spacedim > > &points, const typename Triangulation< dim, spacedim >::active_cell_iterator &cell_hint=typename Triangulation< dim, spacedim >::active_cell_iterator())
template<int dim, int spacedim>
return_type	GridTools::distributed_compute_point_locations (const GridTools::Cache< dim, spacedim > &cache, const std::vector< Point< spacedim > > &local_points, const std::vector< std::vector< BoundingBox< spacedim > > > &global_bboxes, const double tolerance=1e-10)
template<int dim, int spacedim>
std::map< unsigned int, Point< spacedim > >	GridTools::extract_used_vertices (const Triangulation< dim, spacedim > &container, const Mapping< dim, spacedim > &mapping=(ReferenceCells::get_hypercube< dim >() .template get_default_linear_mapping< dim, spacedim >()))
template<int spacedim>
unsigned int	GridTools::find_closest_vertex (const std::map< unsigned int, Point< spacedim > > &vertices, const Point< spacedim > &p)
template<int dim, template< int, int > class MeshType, int spacedim>
unsigned int	GridTools::find_closest_vertex (const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const std::vector< bool > &marked_vertices={})
template<int dim, template< int, int > class MeshType, int spacedim>
unsigned int	GridTools::find_closest_vertex (const Mapping< dim, spacedim > &mapping, const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const std::vector< bool > &marked_vertices={})
template<int dim, template< int, int > class MeshType, int spacedim>
std::vector< typename MeshType< dim, spacedim >::active_cell_iterator >	GridTools::find_cells_adjacent_to_vertex (const MeshType< dim, spacedim > &container, const unsigned int vertex_index)
template<int dim, template< int, int > class MeshType, int spacedim>
std::pair< typename MeshType< dim, spacedim >::active_cell_iterator, Point< dim > >	GridTools::find_active_cell_around_point (const Mapping< dim, spacedim > &mapping, const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const std::vector< bool > &marked_vertices={}, const double tolerance=1.e-10)
template<int dim, template< int, int > class MeshType, int spacedim>
MeshType< dim, spacedim >::active_cell_iterator	GridTools::find_active_cell_around_point (const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const std::vector< bool > &marked_vertices={}, const double tolerance=1.e-10)
template<int dim, int spacedim>
std::pair< typename DoFHandler< dim, spacedim >::active_cell_iterator, Point< dim > >	GridTools::find_active_cell_around_point (const hp::MappingCollection< dim, spacedim > &mapping, const DoFHandler< dim, spacedim > &mesh, const Point< spacedim > &p, const double tolerance=1.e-10)
template<int dim, int spacedim>
std::pair< typename Triangulation< dim, spacedim >::active_cell_iterator, Point< dim > >	GridTools::find_active_cell_around_point (const Cache< dim, spacedim > &cache, const Point< spacedim > &p, const typename Triangulation< dim, spacedim >::active_cell_iterator &cell_hint=typename Triangulation< dim, spacedim >::active_cell_iterator(), const std::vector< bool > &marked_vertices={}, const double tolerance=1.e-10)
template<int dim, template< int, int > class MeshType, int spacedim>
std::pair< typename MeshType< dim, spacedim >::active_cell_iterator, Point< dim > >	GridTools::find_active_cell_around_point (const Mapping< dim, spacedim > &mapping, const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const std::vector< std::set< typename MeshType< dim, spacedim >::active_cell_iterator > > &vertex_to_cell_map, const std::vector< std::vector< Tensor< 1, spacedim > > > &vertex_to_cell_centers, const typename MeshType< dim, spacedim >::active_cell_iterator &cell_hint=typename MeshType< dim, spacedim >::active_cell_iterator(), const std::vector< bool > &marked_vertices={}, const RTree< std::pair< Point< spacedim >, unsigned int > > &used_vertices_rtree=RTree< std::pair< Point< spacedim >, unsigned int > >{}, const double tolerance=1.e-10)
template<int dim, template< int, int > class MeshType, int spacedim>
std::vector< std::pair< typename MeshType< dim, spacedim >::active_cell_iterator, Point< dim > > >	GridTools::find_all_active_cells_around_point (const Mapping< dim, spacedim > &mapping, const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const double tolerance, const std::pair< typename MeshType< dim, spacedim >::active_cell_iterator, Point< dim > > &first_cell)
template<int dim, template< int, int > class MeshType, int spacedim>
std::vector< std::pair< typename MeshType< dim, spacedim >::active_cell_iterator, Point< dim > > >	GridTools::find_all_active_cells_around_point (const Mapping< dim, spacedim > &mapping, const MeshType< dim, spacedim > &mesh, const Point< spacedim > &p, const double tolerance=1e-10, const std::vector< bool > &marked_vertices={})
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::get_active_child_cells (const typename MeshType::cell_iterator &cell)
template<class MeshType >
void	GridTools::get_active_neighbors (const typename MeshType::active_cell_iterator &cell, std::vector< typename MeshType::active_cell_iterator > &active_neighbors)
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::compute_active_cell_halo_layer (const MeshType &mesh, const std::function< bool(const typename MeshType::active_cell_iterator &)> &predicate)
template<class MeshType >
std::vector< typename MeshType::cell_iterator >	GridTools::compute_cell_halo_layer_on_level (const MeshType &mesh, const std::function< bool(const typename MeshType::cell_iterator &)> &predicate, const unsigned int level)
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::compute_ghost_cell_halo_layer (const MeshType &mesh)
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::compute_active_cell_layer_within_distance (const MeshType &mesh, const std::function< bool(const typename MeshType::active_cell_iterator &)> &predicate, const double layer_thickness)
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::compute_ghost_cell_layer_within_distance (const MeshType &mesh, const double layer_thickness)
template<class MeshType >
std::pair< Point< MeshType::space_dimension >, Point< MeshType::space_dimension > >	GridTools::compute_bounding_box (const MeshType &mesh, const std::function< bool(const typename MeshType::active_cell_iterator &)> &predicate)
template<class MeshType >
std::vector< BoundingBox< MeshType::space_dimension > >	GridTools::compute_mesh_predicate_bounding_box (const MeshType &mesh, const std::function< bool(const typename MeshType::active_cell_iterator &)> &predicate, const unsigned int refinement_level=0, const bool allow_merge=false, const unsigned int max_boxes=numbers::invalid_unsigned_int)
template<int spacedim>
return_type	GridTools::guess_point_owner (const std::vector< std::vector< BoundingBox< spacedim > > > &global_bboxes, const std::vector< Point< spacedim > > &points)
template<int spacedim>
return_type	GridTools::guess_point_owner (const RTree< std::pair< BoundingBox< spacedim >, unsigned int > > &covering_rtree, const std::vector< Point< spacedim > > &points)
template<int dim, int spacedim>
std::vector< std::set< typename Triangulation< dim, spacedim >::active_cell_iterator > >	GridTools::vertex_to_cell_map (const Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
std::vector< std::vector< Tensor< 1, spacedim > > >	GridTools::vertex_to_cell_centers_directions (const Triangulation< dim, spacedim > &mesh, const std::vector< std::set< typename Triangulation< dim, spacedim >::active_cell_iterator > > &vertex_to_cells)
template<int dim, int spacedim>
unsigned int	GridTools::find_closest_vertex_of_cell (const typename Triangulation< dim, spacedim >::active_cell_iterator &cell, const Point< spacedim > &position, const Mapping< dim, spacedim > &mapping=(ReferenceCells::get_hypercube< dim >() .template get_default_linear_mapping< dim, spacedim >()))
template<int dim, int spacedim>
std::map< unsigned int, types::global_vertex_index >	GridTools::compute_local_to_global_vertex_index_map (const parallel::distributed::Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
std::pair< unsigned int, double >	GridTools::get_longest_direction (typename Triangulation< dim, spacedim >::active_cell_iterator cell)
Partitions and subdomains of triangulations
template<int dim, int spacedim>
void	GridTools::get_face_connectivity_of_cells (const Triangulation< dim, spacedim > &triangulation, DynamicSparsityPattern &connectivity)
template<int dim, int spacedim>
void	GridTools::get_vertex_connectivity_of_cells (const Triangulation< dim, spacedim > &triangulation, DynamicSparsityPattern &connectivity)
template<int dim, int spacedim>
void	GridTools::get_vertex_connectivity_of_cells_on_level (const Triangulation< dim, spacedim > &triangulation, const unsigned int level, DynamicSparsityPattern &connectivity)
template<int dim, int spacedim>
void	GridTools::partition_triangulation (const unsigned int n_partitions, Triangulation< dim, spacedim > &triangulation, const SparsityTools::Partitioner partitioner=SparsityTools::Partitioner::metis)
template<int dim, int spacedim>
void	GridTools::partition_triangulation (const unsigned int n_partitions, const std::vector< unsigned int > &cell_weights, Triangulation< dim, spacedim > &triangulation, const SparsityTools::Partitioner partitioner=SparsityTools::Partitioner::metis)
template<int dim, int spacedim>
void	GridTools::partition_triangulation (const unsigned int n_partitions, const SparsityPattern &cell_connection_graph, Triangulation< dim, spacedim > &triangulation, const SparsityTools::Partitioner partitioner=SparsityTools::Partitioner::metis)
template<int dim, int spacedim>
void	GridTools::partition_triangulation (const unsigned int n_partitions, const std::vector< unsigned int > &cell_weights, const SparsityPattern &cell_connection_graph, Triangulation< dim, spacedim > &triangulation, const SparsityTools::Partitioner partitioner=SparsityTools::Partitioner::metis)
template<int dim, int spacedim>
void	GridTools::partition_triangulation_zorder (const unsigned int n_partitions, Triangulation< dim, spacedim > &triangulation, const bool group_siblings=true)
template<int dim, int spacedim>
void	GridTools::partition_multigrid_levels (Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
std::vector< types::subdomain_id >	GridTools::get_subdomain_association (const Triangulation< dim, spacedim > &triangulation, const std::vector< CellId > &cell_ids)
template<int dim, int spacedim>
void	GridTools::get_subdomain_association (const Triangulation< dim, spacedim > &triangulation, std::vector< types::subdomain_id > &subdomain)
template<int dim, int spacedim>
unsigned int	GridTools::count_cells_with_subdomain_association (const Triangulation< dim, spacedim > &triangulation, const types::subdomain_id subdomain)
template<int dim, int spacedim>
std::vector< bool >	GridTools::get_locally_owned_vertices (const Triangulation< dim, spacedim > &triangulation)
Comparing different meshes
template<typename MeshType >
std::list< std::pair< typename MeshType::cell_iterator, typename MeshType::cell_iterator > >	GridTools::get_finest_common_cells (const MeshType &mesh_1, const MeshType &mesh_2)
template<int dim, int spacedim>
bool	GridTools::have_same_coarse_mesh (const Triangulation< dim, spacedim > &mesh_1, const Triangulation< dim, spacedim > &mesh_2)
template<typename MeshType >
bool	GridTools::have_same_coarse_mesh (const MeshType &mesh_1, const MeshType &mesh_2)
Dealing with distorted cells
template<int dim, int spacedim>
Triangulation< dim, spacedim >::DistortedCellList	GridTools::fix_up_distorted_child_cells (const typename Triangulation< dim, spacedim >::DistortedCellList &distorted_cells, Triangulation< dim, spacedim > &triangulation)
Extracting and creating patches of cells
These functions extract and create patches of cells surrounding a single cell, and creating triangulation out of them.
template<class MeshType >
std::vector< typename MeshType::active_cell_iterator >	GridTools::get_patch_around_cell (const typename MeshType::active_cell_iterator &cell)
template<class Container >
std::vector< typename Container::cell_iterator >	GridTools::get_cells_at_coarsest_common_level (const std::vector< typename Container::active_cell_iterator > &patch_cells)
template<class Container >
void	GridTools::build_triangulation_from_patch (const std::vector< typename Container::active_cell_iterator > &patch, Triangulation< Container::dimension, Container::space_dimension > &local_triangulation, std::map< typename Triangulation< Container::dimension, Container::space_dimension >::active_cell_iterator, typename Container::active_cell_iterator > &patch_to_global_tria_map)
template<int dim, int spacedim>
std::map< types::global_dof_index, std::vector< typename DoFHandler< dim, spacedim >::active_cell_iterator > >	GridTools::get_dof_to_support_patch_map (DoFHandler< dim, spacedim > &dof_handler)
Dealing with periodic domains
template<typename FaceIterator >
bool	GridTools::orthogonal_equality (std::bitset< 3 > &orientation, const FaceIterator &face1, const FaceIterator &face2, const int direction, const Tensor< 1, FaceIterator::AccessorType::space_dimension > &offset=Tensor< 1, FaceIterator::AccessorType::space_dimension >(), const FullMatrix< double > &matrix=FullMatrix< double >())
template<typename FaceIterator >
bool	GridTools::orthogonal_equality (const FaceIterator &face1, const FaceIterator &face2, const int direction, const Tensor< 1, FaceIterator::AccessorType::space_dimension > &offset=Tensor< 1, FaceIterator::AccessorType::space_dimension >(), const FullMatrix< double > &matrix=FullMatrix< double >())
template<typename MeshType >
void	GridTools::collect_periodic_faces (const MeshType &mesh, const types::boundary_id b_id1, const types::boundary_id b_id2, const int direction, std::vector< PeriodicFacePair< typename MeshType::cell_iterator > > &matched_pairs, const Tensor< 1, MeshType::space_dimension > &offset=::Tensor< 1, MeshType::space_dimension >(), const FullMatrix< double > &matrix=FullMatrix< double >())
template<typename MeshType >
void	GridTools::collect_periodic_faces (const MeshType &mesh, const types::boundary_id b_id, const int direction, std::vector< PeriodicFacePair< typename MeshType::cell_iterator > > &matched_pairs, const ::Tensor< 1, MeshType::space_dimension > &offset=::Tensor< 1, MeshType::space_dimension >(), const FullMatrix< double > &matrix=FullMatrix< double >())
Dealing with boundary and manifold ids
template<int dim, int spacedim>
void	GridTools::copy_boundary_to_manifold_id (Triangulation< dim, spacedim > &tria, const bool reset_boundary_ids=false)
template<int dim, int spacedim>
void	GridTools::map_boundary_to_manifold_ids (const std::vector< types::boundary_id > &src_boundary_ids, const std::vector< types::manifold_id > &dst_manifold_ids, Triangulation< dim, spacedim > &tria, const std::vector< types::boundary_id > &reset_boundary_ids={})
template<int dim, int spacedim>
void	GridTools::copy_material_to_manifold_id (Triangulation< dim, spacedim > &tria, const bool compute_face_ids=false)
template<int dim, int spacedim>
void	GridTools::assign_co_dimensional_manifold_indicators (Triangulation< dim, spacedim > &tria, const std::function< types::manifold_id(const std::set< types::manifold_id > &)> &disambiguation_function=[](const std::set< types::manifold_id > &manifold_ids) { if(manifold_ids.size()==1) return *manifold_ids.begin();else return numbers::flat_manifold_id;}, bool overwrite_only_flat_manifold_ids=true)
template<typename DataType , typename MeshType >
void	GridTools::exchange_cell_data_to_ghosts (const MeshType &mesh, const std::function< std_cxx17::optional< DataType >(const typename MeshType::active_cell_iterator &)> &pack, const std::function< void(const typename MeshType::active_cell_iterator &, const DataType &)> &unpack, const std::function< bool(const typename MeshType::active_cell_iterator &)> &cell_filter=always_return< typename MeshType::active_cell_iterator, bool >{true})
template<typename DataType , typename MeshType >
void	GridTools::exchange_cell_data_to_level_ghosts (const MeshType &mesh, const std::function< std_cxx17::optional< DataType >(const typename MeshType::level_cell_iterator &)> &pack, const std::function< void(const typename MeshType::level_cell_iterator &, const DataType &)> &unpack, const std::function< bool(const typename MeshType::level_cell_iterator &)> &cell_filter=always_return< typename MeshType::level_cell_iterator, bool >{ true})
template<int spacedim>
std::vector< std::vector< BoundingBox< spacedim > > >	GridTools::exchange_local_bounding_boxes (const std::vector< BoundingBox< spacedim > > &local_bboxes, const MPI_Comm &mpi_communicator)
template<int spacedim>
RTree< std::pair< BoundingBox< spacedim >, unsigned int > >	GridTools::build_global_description_tree (const std::vector< BoundingBox< spacedim > > &local_description, const MPI_Comm &mpi_communicator)
template<int dim, int spacedim>
void	GridTools::collect_coinciding_vertices (const Triangulation< dim, spacedim > &tria, std::map< unsigned int, std::vector< unsigned int > > &coinciding_vertex_groups, std::map< unsigned int, unsigned int > &vertex_to_coinciding_vertex_group)
template<int dim, int spacedim>
std::map< unsigned int, std::set<::types::subdomain_id > >	GridTools::compute_vertices_with_ghost_neighbors (const Triangulation< dim, spacedim > &tria)
Exceptions
static ::ExceptionBase &	GridTools::ExcInvalidNumberOfPartitions (int arg1)
static ::ExceptionBase &	GridTools::ExcNonExistentSubdomain (int arg1)
static ::ExceptionBase &	GridTools::ExcTriangulationHasBeenRefined ()
static ::ExceptionBase &	GridTools::ExcScalingFactorNotPositive (double arg1)
static ::ExceptionBase &	GridTools::ExcVertexNotUsed (unsigned int arg1)