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rAKA/src/fem/shape_lagrange_inline_impl.cc
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shape_lagrange_inline_impl.cc
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/**
* @file shape_lagrange_inline_impl.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date Tue Feb 15 16:32:44 2011
*
* @brief ShapeLagrange inline implementation
*
* @section LICENSE
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* 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/>.
*
*/
/* -------------------------------------------------------------------------- */
template <ElementType type>
inline void ShapeLagrange::
computeShapeDerivativesOnCPointsByElement(UInt spatial_dimension,
Real * node_coords,
UInt nb_nodes_per_element,
Real * natural_coords,
UInt nb_points,
Real * shapesd) {
// compute dnds
Real dnds[nb_nodes_per_element * spatial_dimension * nb_points];
ElementClass<type>::computeDNDS(natural_coords, nb_points, dnds);
// compute dxds
Real dxds[spatial_dimension * spatial_dimension * nb_points];
ElementClass<type>::computeDXDS(dnds, nb_points, node_coords,
spatial_dimension, dxds);
// compute shape derivatives
ElementClass<type>::computeShapeDerivatives(dxds, dnds, nb_points,
spatial_dimension, shapesd);
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange::inverseMap(const types::RVector & real_coords,
UInt elem,
types::RVector & natural_coords,
const GhostType & ghost_type) const{
UInt spatial_dimension = mesh->getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt * elem_val = mesh->getConnectivity(type, ghost_type).values;
types::RMatrix local_coord(nb_nodes_per_element,spatial_dimension);
mesh->extractNodalValuesFromElement(mesh->getNodes(),
local_coord.storage(),
elem_val+elem*nb_nodes_per_element,
nb_nodes_per_element,
spatial_dimension);
ElementClass<type>::inverseMap(real_coords,local_coord,spatial_dimension,natural_coords);
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
bool ShapeLagrange::contains(const types::RVector & real_coords,
UInt elem,
const GhostType & ghost_type) const{
UInt spatial_dimension = mesh->getSpatialDimension();
types::RVector natural_coords(spatial_dimension);
inverseMap<type>(real_coords,elem,natural_coords,ghost_type);
return ElementClass<type>::contains(natural_coords);
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLagrange::computeShapes(const types::RVector & real_coords,
UInt elem,
types::RVector & shapes,
const GhostType & ghost_type) const{
UInt spatial_dimension = mesh->getSpatialDimension();
types::RVector natural_coords(spatial_dimension);
inverseMap<type>(real_coords,elem,natural_coords,ghost_type);
ElementClass<type>::computeShapes(natural_coords.storage(),shapes.storage());
}
/* -------------------------------------------------------------------------- */
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