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mesh_utils.cc

/**
* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* Akantu is free software: you can 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 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*/
/* -------------------------------------------------------------------------- */
#include "mesh_utils.hh"
#include "element_synchronizer.hh"
#include "fe_engine.hh"
#include "mesh_accessor.hh"
#include "mesh_iterators.hh"
/* -------------------------------------------------------------------------- */
#include <limits>
#include <numeric>
#include <queue>
#include <set>
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
void MeshUtils::buildNode2Elements(const Mesh & mesh,
CSR<Element> & node_to_elem,
Int spatial_dimension) {
AKANTU_DEBUG_IN();
if (spatial_dimension == _all_dimensions) {
spatial_dimension = mesh.getSpatialDimension();
}
/// count number of occurrence of each node
auto nb_nodes = mesh.getNbNodes();
/// array for the node-element list
node_to_elem.resizeRows(nb_nodes);
node_to_elem.clearRows();
for_each_element(
mesh,
[&](auto && element) {
auto conn = mesh.getConnectivity(element);
for (auto && node : conn) {
++node_to_elem.rowOffset(node);
}
},
_spatial_dimension = spatial_dimension, _element_kind = _ek_not_defined);
node_to_elem.countToCSR();
node_to_elem.resizeCols();
/// rearrange element to get the node-element list
// Element e;
node_to_elem.beginInsertions();
for_each_element(
mesh,
[&](auto && element) {
auto conn = mesh.getConnectivity(element);
for (auto && node : conn) {
node_to_elem.insertInRow(node, element);
}
},
_spatial_dimension = spatial_dimension, _element_kind = _ek_not_defined);
node_to_elem.endInsertions();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::buildNode2ElementsElementTypeMap(const Mesh & mesh,
CSR<Idx> & node_to_elem,
ElementType type,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto nb_nodes = mesh.getNbNodes();
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_elements = mesh.getConnectivity(type, ghost_type).size();
auto * conn_val = mesh.getConnectivity(type, ghost_type).data();
/// array for the node-element list
node_to_elem.resizeRows(nb_nodes);
node_to_elem.clearRows();
/// count number of occurrence of each node
for (Int el = 0; el < nb_elements; ++el) {
auto el_offset = el * nb_nodes_per_element;
for (Int n = 0; n < nb_nodes_per_element; ++n) {
++node_to_elem.rowOffset(conn_val[el_offset + n]);
}
}
/// convert the occurrence array in a csr one
node_to_elem.countToCSR();
node_to_elem.resizeCols();
node_to_elem.beginInsertions();
/// save the element index in the node-element list
for (Int el = 0; el < nb_elements; ++el) {
auto el_offset = el * nb_nodes_per_element;
for (Int n = 0; n < nb_nodes_per_element; ++n) {
node_to_elem.insertInRow(conn_val[el_offset + n], el);
}
}
node_to_elem.endInsertions();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::buildFacets(Mesh & mesh) {
AKANTU_DEBUG_IN();
auto spatial_dimension = mesh.getSpatialDimension();
for (auto ghost_type : ghost_types) {
for (const auto & type :
mesh.elementTypes(spatial_dimension - 1, ghost_type)) {
mesh.getConnectivity(type, ghost_type).resize(0);
// \todo inform the mesh event handler
}
}
buildFacetsDimension(mesh, mesh, true, spatial_dimension);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::buildAllFacets(const Mesh & mesh, Mesh & mesh_facets,
Int to_dimension) {
AKANTU_DEBUG_IN();
auto spatial_dimension = mesh.getSpatialDimension();
buildAllFacets(mesh, mesh_facets, spatial_dimension, to_dimension);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::buildAllFacets(const Mesh & mesh, Mesh & mesh_facets,
Int from_dimension, Int to_dimension) {
AKANTU_DEBUG_IN();
to_dimension = std::max(to_dimension, Int(0));
AKANTU_DEBUG_ASSERT(
mesh_facets.isMeshFacets(),
"The mesh_facets should be initialized with initMeshFacets");
/// generate facets
buildFacetsDimension(mesh, mesh_facets, false, from_dimension);
/// sort facets and generate sub-facets
for (Int i = from_dimension - 1; i > to_dimension; --i) {
buildFacetsDimension(mesh_facets, mesh_facets, false, i);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::buildFacetsDimension(const Mesh & mesh, Mesh & mesh_facets,
bool boundary_only, Int dimension) {
AKANTU_DEBUG_IN();
// save the current parent of mesh_facets and set it temporarly to mesh since
// mesh is the one containing the elements for which mesh_facets has the
// sub-elements
// example: if the function is called with mesh = mesh_facets
const Mesh * mesh_facets_parent = nullptr;
try {
mesh_facets_parent = &mesh_facets.getMeshParent();
} catch (...) {
}
mesh_facets.defineMeshParent(mesh);
MeshAccessor mesh_accessor(mesh_facets);
auto spatial_dimension = mesh.getSpatialDimension();
const Array<Real> & mesh_facets_nodes = mesh_facets.getNodes();
const auto mesh_facets_nodes_it = mesh_facets_nodes.begin(spatial_dimension);
CSR<Element> node_to_elem;
buildNode2Elements(mesh, node_to_elem, dimension);
Array<Int> counter;
std::vector<Element> connected_elements;
NewElementsEvent event(AKANTU_CURRENT_FUNCTION);
// init the SubelementToElement data to improve performance
for (auto && ghost_type : ghost_types) {
for (auto && type : mesh.elementTypes(dimension, ghost_type)) {
auto & subelement_to_element =
mesh_accessor.getSubelementToElement(type, ghost_type);
subelement_to_element.resize(mesh.getNbElement(type, ghost_type),
ElementNull);
auto facet_types = mesh.getAllFacetTypes(type);
for (auto && facet_type : facet_types) {
mesh_accessor.getElementToSubelement(facet_type, ghost_type);
mesh_accessor.getConnectivity(facet_type, ghost_type);
}
}
}
const ElementSynchronizer * synchronizer = nullptr;
if (mesh.isDistributed()) {
synchronizer = &(mesh.getElementSynchronizer());
}
Element current_element;
for (auto && ghost_type : ghost_types) {
GhostType facet_ghost_type = ghost_type;
current_element.ghost_type = ghost_type;
for (auto && type : mesh.elementTypes(dimension, ghost_type)) {
auto facet_types = mesh.getAllFacetTypes(type);
current_element.type = type;
for (auto && ft : arange(facet_types.size())) {
auto facet_type = facet_types(ft);
auto nb_element = mesh.getNbElement(type, ghost_type);
auto && element_to_subelement =
&mesh_accessor.getElementToSubelementNC(facet_type, ghost_type);
auto && connectivity_facets =
&mesh_accessor.getConnectivity(facet_type, ghost_type);
auto nb_nodes_per_facet = connectivity_facets->getNbComponent();
// Vector<UInt> facet(nb_nodes_per_facet);
for (Int el = 0; el < nb_element; ++el) {
current_element.element = el;
Matrix<Idx> facets =
mesh.getFacetConnectivity(current_element, ft).transpose();
for (auto & facet : facets) {
// facet = facets(f);
auto first_node_nb_elements = node_to_elem.getNbCols(facet(0));
counter.resize(first_node_nb_elements);
counter.zero();
// loop over the other nodes to search intersecting elements,
// which are the elements that share another node with the
// starting element after first_node
for (auto && data : enumerate(node_to_elem.getRow(facet(0)))) {
auto && local_el = std::get<0>(data);
auto && first_node = std::get<1>(data);
for (auto n : arange(1, nb_nodes_per_facet)) {
auto && node_elements = node_to_elem.getRow(facet(n));
counter(local_el) += std::count(
node_elements.begin(), node_elements.end(), first_node);
}
}
// counting the number of elements connected to the facets and
// taking the minimum element number, because the facet should
// be inserted just once
auto nb_element_connected_to_facet = 0;
auto minimum_el = ElementNull;
connected_elements.clear();
for (auto && data : enumerate(node_to_elem.getRow(facet(0)))) {
if (not(counter(std::get<0>(data)) == nb_nodes_per_facet - 1)) {
continue;
}
auto && real_el = std::get<1>(data);
++nb_element_connected_to_facet;
minimum_el = std::min(minimum_el, real_el);
connected_elements.push_back(real_el);
}
if (minimum_el != current_element) {
continue;
}
bool full_ghost_facet = false;
Int n = 0;
while (n < nb_nodes_per_facet and mesh.isPureGhostNode(facet(n))) {
++n;
}
if (n == nb_nodes_per_facet) {
full_ghost_facet = true;
}
if (full_ghost_facet) {
continue;
}
if (boundary_only and nb_element_connected_to_facet != 1) {
continue;
}
std::vector<Element> elements;
// build elements_on_facets: linearized_el must come first
// in order to store the facet in the correct direction
// and avoid to invert the sign in the normal computation
elements.reserve(elements.size() + connected_elements.size());
for (auto && connected_element : connected_elements) {
elements.push_back(connected_element);
}
if (nb_element_connected_to_facet == 1) { /// boundary facet
elements.push_back(ElementNull);
} else if (nb_element_connected_to_facet == 2) { /// internal facet
/// check if facet is in between ghost and normal
/// elements: if it's the case, the facet is either
/// ghost or not ghost. The criterion to decide this
/// is arbitrary. It was chosen to check the processor
/// id (prank) of the two neighboring elements. If
/// prank of the ghost element is lower than prank of
/// the normal one, the facet is not ghost, otherwise
/// it's ghost
GhostType gt[2] = {_not_ghost, _not_ghost};
for (auto && data : enumerate(connected_elements)) {
gt[std::get<0>(data)] = std::get<1>(data).ghost_type;
}
if ((gt[0] == _not_ghost) xor (gt[1] == _not_ghost)) {
Int prank[2];
for (Int el = 0; el < 2; ++el) {
prank[el] = synchronizer->getRank(connected_elements[el]);
}
// ugly trick from Marco detected :P
bool ghost_one = (gt[0] != _ghost);
if (prank[ghost_one] > prank[!ghost_one]) {
facet_ghost_type = _not_ghost;
} else {
facet_ghost_type = _ghost;
}
connectivity_facets = &mesh_accessor.getConnectivity(
facet_type, facet_ghost_type);
element_to_subelement = &mesh_accessor.getElementToSubelementNC(
facet_type, facet_ghost_type);
}
}
element_to_subelement->push_back(elements);
connectivity_facets->push_back(facet);
/// current facet index
auto current_facet = connectivity_facets->size() - 1;
Element facet_element{facet_type, current_facet, facet_ghost_type};
event.getList().push_back(facet_element);
/// loop on every element connected to current facet and
/// insert current facet in the first free spot of the
/// subelement_to_element vector
for (auto & loc_el : elements) {
if (loc_el == ElementNull) {
continue;
}
auto && subelements =
mesh_accessor.getSubelementToElement(loc_el);
for (auto & el : subelements) {
if (el != ElementNull) {
continue;
}
el = facet_element;
break;
}
}
/// reset connectivity in case a facet was found in
/// between ghost and normal elements
if (facet_ghost_type != ghost_type) {
facet_ghost_type = ghost_type;
connectivity_facets =
&mesh_accessor.getConnectivity(facet_type, facet_ghost_type);
element_to_subelement = &mesh_accessor.getElementToSubelement(
facet_type, facet_ghost_type);
}
}
}
}
}
}
mesh_facets.sendEvent(event);
// restore the parent of mesh_facet
if (mesh_facets_parent != nullptr) {
mesh_facets.defineMeshParent(*mesh_facets_parent);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::renumberMeshNodes(Mesh & mesh,
Array<Idx> & local_connectivities,
Int nb_local_element, Int nb_ghost_element,
ElementType type,
Array<Idx> & old_nodes_numbers) {
AKANTU_DEBUG_IN();
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
std::map<Idx, Idx> renumbering_map;
for (Int i = 0; i < old_nodes_numbers.size(); ++i) {
renumbering_map[old_nodes_numbers(i)] = i;
}
/// renumber the nodes
renumberNodesInConnectivity(local_connectivities,
(nb_local_element + nb_ghost_element) *
nb_nodes_per_element,
renumbering_map);
old_nodes_numbers.resize(renumbering_map.size());
for (auto & renumber_pair : renumbering_map) {
old_nodes_numbers(renumber_pair.second) = renumber_pair.first;
}
renumbering_map.clear();
MeshAccessor mesh_accessor(mesh);
/// copy the renumbered connectivity to the right place
auto & local_conn = mesh_accessor.getConnectivity(type);
local_conn.resize(nb_local_element);
if (nb_local_element > 0) {
std::copy_n(local_connectivities.data(),
nb_local_element * nb_nodes_per_element, local_conn.data());
}
auto & ghost_conn = mesh_accessor.getConnectivity(type, _ghost);
ghost_conn.resize(nb_ghost_element);
if (nb_ghost_element > 0) {
std::copy_n(local_connectivities.data() +
nb_local_element * nb_nodes_per_element,
nb_ghost_element * nb_nodes_per_element, ghost_conn.data());
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::renumberNodesInConnectivity(
Array<Idx> & list_nodes, Int nb_nodes,
std::map<Idx, Idx> & renumbering_map) {
AKANTU_DEBUG_IN();
auto * connectivity = list_nodes.data();
auto new_node_num = renumbering_map.size();
for (Int n = 0; n < nb_nodes; ++n, ++connectivity) {
auto & node = *connectivity;
auto it = renumbering_map.find(node);
if (it == renumbering_map.end()) {
auto old_node = node;
renumbering_map[old_node] = new_node_num;
node = new_node_num;
++new_node_num;
} else {
node = it->second;
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::purifyMesh(Mesh & mesh) {
AKANTU_DEBUG_IN();
std::map<Idx, Idx> renumbering_map;
RemovedNodesEvent remove_nodes(mesh, AKANTU_CURRENT_FUNCTION);
auto & nodes_removed = remove_nodes.getList();
for (auto ghost_type : ghost_types) {
for (auto type :
mesh.elementTypes(_all_dimensions, ghost_type, _ek_not_defined)) {
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto & connectivity = mesh.getConnectivity(type, ghost_type);
auto nb_element(connectivity.size());
renumberNodesInConnectivity(
connectivity, nb_element * nb_nodes_per_element, renumbering_map);
}
}
auto & new_numbering = remove_nodes.getNewNumbering();
std::fill(new_numbering.begin(), new_numbering.end(), Int(-1));
for (auto && pair : renumbering_map) {
new_numbering(std::get<0>(pair)) = std::get<1>(pair);
}
for (Int i = 0; i < new_numbering.size(); ++i) {
if (new_numbering(i) == Int(-1)) {
nodes_removed.push_back(i);
}
}
mesh.sendEvent(remove_nodes);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::flipFacets(
Mesh & mesh_facets,
const ElementTypeMapArray<Idx> & remote_global_connectivities,
GhostType gt_facet) {
AKANTU_DEBUG_IN();
auto spatial_dimension = mesh_facets.getSpatialDimension();
/// get global connectivity for local mesh
ElementTypeMapArray<Idx> local_global_connectivities(
"local_global_connectivity", mesh_facets.getID());
local_global_connectivities.initialize(
mesh_facets, _spatial_dimension = spatial_dimension - 1,
_ghost_type = gt_facet, _with_nb_nodes_per_element = true,
_with_nb_element = true);
mesh_facets.getGlobalConnectivity(local_global_connectivities);
MeshAccessor mesh_accessor(mesh_facets);
/// loop on every facet
for (auto type_facet :
mesh_facets.elementTypes(spatial_dimension - 1, gt_facet)) {
auto & connectivity = mesh_accessor.getConnectivity(type_facet, gt_facet);
auto & local_global_connectivity =
local_global_connectivities(type_facet, gt_facet);
const auto & remote_global_connectivity =
remote_global_connectivities(type_facet, gt_facet);
auto & element_per_facet =
mesh_accessor.getElementToSubelementNC(type_facet, gt_facet);
auto & subfacet_to_facet =
mesh_accessor.getSubelementToElementNC(type_facet, gt_facet);
auto nb_nodes_per_facet = connectivity.getNbComponent();
auto nb_nodes_per_P1_facet =
Mesh::getNbNodesPerElement(Mesh::getP1ElementType(type_facet));
for (auto && data :
zip(make_view(connectivity, nb_nodes_per_facet),
make_view(local_global_connectivity, nb_nodes_per_facet),
make_view(remote_global_connectivity, nb_nodes_per_facet),
make_view(subfacet_to_facet, subfacet_to_facet.getNbComponent()),
make_view(element_per_facet))) {
auto & conn = std::get<0>(data);
auto & local_gconn = std::get<1>(data);
const auto & remote_gconn = std::get<2>(data);
/// skip facet if connectivities are the same
if (local_gconn == remote_gconn) {
continue;
}
/// re-arrange connectivity
Vector<Idx> conn_tmp = conn;
auto begin = local_gconn.begin();
auto end = local_gconn.end();
AKANTU_DEBUG_ASSERT(std::is_permutation(begin, end, remote_gconn.begin()),
"This facets are not just permutation of each other, "
<< local_gconn << " and " << remote_gconn);
for (auto && data : enumerate(remote_gconn)) {
auto it = std::find(begin, end, std::get<1>(data));
AKANTU_DEBUG_ASSERT(it != end, "Node not found");
auto new_position = it - begin;
conn(new_position) = conn_tmp(std::get<0>(data));
}
// std::transform(remote_gconn.begin(), remote_gconn.end(), conn.begin(),
// [&](auto && gnode) {
// auto it = std::find(begin, end, gnode);
// AKANTU_DEBUG_ASSERT(it != end, "Node not found");
// return conn_tmp(it - begin);
// });
/// if 3D, check if facets are just rotated
if (spatial_dimension == 3) {
auto begin = remote_gconn.begin();
/// find first node
auto it = std::find(begin, remote_gconn.end(), local_gconn(0));
auto start = it - begin;
decltype(start) n;
/// count how many nodes in the received connectivity follow
/// the same order of those in the local connectivity
for (n = 1; n < nb_nodes_per_P1_facet &&
local_gconn(n) ==
remote_gconn((start + n) % nb_nodes_per_P1_facet);
++n) {
;
}
/// skip the facet inversion if facet is just rotated
if (n == nb_nodes_per_P1_facet) {
continue;
}
}
/// update data to invert facet
auto & element_per_facet = std::get<4>(data);
if (element_per_facet[1] !=
ElementNull) { // by convention the first facet
// cannot be a ElementNull
std::swap(element_per_facet[0], element_per_facet[1]);
}
auto & subfacets_of_facet = std::get<3>(data);
std::swap(subfacets_of_facet(0), subfacets_of_facet(1));
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MeshUtils::fillElementToSubElementsData(Mesh & mesh) {
AKANTU_DEBUG_IN();
if (mesh.getNbElement(mesh.getSpatialDimension() - 1) == 0) {
AKANTU_DEBUG_INFO("There are not facets, add them in the mesh file or call "
"the buildFacet method.");
return;
}
Int spatial_dimension = mesh.getSpatialDimension();
ElementTypeMapArray<Real> barycenters("barycenter_tmp", mesh.getID());
barycenters.initialize(mesh, _nb_component = spatial_dimension,
_spatial_dimension = _all_dimensions);
Element element;
for (auto ghost_type : ghost_types) {
element.ghost_type = ghost_type;
for (const auto & type : mesh.elementTypes(_all_dimensions, ghost_type)) {
element.type = type;
auto nb_element = mesh.getNbElement(type, ghost_type);
auto & barycenters_arr = barycenters(type, ghost_type);
barycenters_arr.resize(nb_element);
auto bary = barycenters_arr.begin(spatial_dimension);
auto bary_end = barycenters_arr.end(spatial_dimension);
for (Int el = 0; bary != bary_end; ++bary, ++el) {
element.element = el;
mesh.getBarycenter(element, *bary);
}
}
}
MeshAccessor mesh_accessor(mesh);
for (Int sp(spatial_dimension); sp >= 1; --sp) {
if (mesh.getNbElement(sp) == 0) {
continue;
}
for (auto ghost_type : ghost_types) {
for (const auto & type : mesh.elementTypes(sp, ghost_type)) {
auto & subelement_to_element =
mesh_accessor.getSubelementToElement(type, ghost_type);
subelement_to_element.resize(mesh.getNbElement(type, ghost_type));
subelement_to_element.set(ElementNull);
}
for (const auto & type : mesh.elementTypes(sp - 1, ghost_type)) {
auto & element_to_subelement =
mesh_accessor.getElementToSubelement(type, ghost_type);
element_to_subelement.resize(mesh.getNbElement(type, ghost_type));
element_to_subelement.clear();
}
}
CSR<Element> nodes_to_elements;
buildNode2Elements(mesh, nodes_to_elements, sp);
Element facet_element;
for (auto ghost_type : ghost_types) {
facet_element.ghost_type = ghost_type;
for (const auto & type : mesh.elementTypes(sp - 1, ghost_type)) {
facet_element.type = type;
auto & element_to_subelement =
mesh_accessor.getElementToSubelement(type, ghost_type);
const auto & connectivity = mesh.getConnectivity(type, ghost_type);
for (auto && data : enumerate(
make_view(connectivity, connectivity.getNbComponent()))) {
const auto & facet = std::get<1>(data);
facet_element.element = std::get<0>(data);
std::map<Element, Int> element_seen_counter;
auto nb_nodes_per_facet =
mesh.getNbNodesPerElement(Mesh::getP1ElementType(type));
// count the number of node in common between the facet and the
// other element connected to the nodes of the facet
for (auto node : arange(nb_nodes_per_facet)) {
for (auto & elem : nodes_to_elements.getRow(facet(node))) {
auto cit = element_seen_counter.find(elem);
if (cit != element_seen_counter.end()) {
cit->second++;
} else {
element_seen_counter[elem] = 1;
}
}
}
// check which are the connected elements
std::vector<Element> connected_elements;
for (auto && cit : element_seen_counter) {
if (cit.second == nb_nodes_per_facet) {
connected_elements.push_back(cit.first);
}
}
// add the connected elements as sub-elements
for (auto & connected_element : connected_elements) {
element_to_subelement(facet_element.element)
.push_back(connected_element);
}
// add the element as sub-element to the connected elements
for (auto & connected_element : connected_elements) {
auto subelements_to_element =
mesh.getSubelementToElement(connected_element);
// find the position where to insert the element
auto it = std::find(subelements_to_element.begin(),
subelements_to_element.end(), ElementNull);
AKANTU_DEBUG_ASSERT(
it != subelements_to_element.end(),
"The element "
<< connected_element << " seems to have too many facets!! ("
<< (it - subelements_to_element.begin()) << " < "
<< mesh.getNbFacetsPerElement(connected_element.type)
<< ")");
*it = facet_element;
}
}
}
}
}
AKANTU_DEBUG_OUT();
}
} // namespace akantu

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