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shape_lagrange.hh
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/**
* @file shape_lagrange.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Tue Feb 15 2011
* @date last modification: Fri Jun 13 2014
*
* @brief lagrangian shape functions class
*
* @section LICENSE
*
* Copyright (©) 2014 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/>.
*
*/
#ifndef __AKANTU_SHAPE_LAGRANGE_HH__
#define __AKANTU_SHAPE_LAGRANGE_HH__
#include "shape_functions.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template<class Shape>
class ShapeCohesive;
class ShapeIGFEM;
template <ElementKind kind>
class ShapeLagrange : public ShapeFunctions{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
ShapeLagrange(const Mesh & mesh,
const ID & id = "shape_lagrange",
const MemoryID & memory_id = 0);
virtual ~ShapeLagrange(){};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
inline void initShapeFunctions(const Array<Real> & nodes,
const Matrix<Real> & control_points,
const ElementType & type,
const GhostType & ghost_type);
/// pre compute all shapes on the element control points from natural coordinates
template<ElementType type>
void precomputeShapesOnControlPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// pre compute all shape derivatives on the element control points from natural coordinates
template <ElementType type>
void precomputeShapeDerivativesOnControlPoints(const Array<Real> & nodes,
GhostType ghost_type);
/// interpolate nodal values on the control points
template <ElementType type>
void interpolateOnControlPoints(const Array<Real> &u,
Array<Real> &uq,
UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// compute the gradient of u on the control points
template <ElementType type>
void gradientOnControlPoints(const Array<Real> &u,
Array<Real> &nablauq,
UInt nb_degree_of_freedom,
GhostType ghost_type = _not_ghost,
const Array<UInt> & filter_elements = empty_filter) const;
/// multiply a field by shape functions @f$ fts_{ij} = f_i * \varphi_j @f$
template <ElementType type>
void fieldTimesShapes(const Array<Real> & field,
Array<Real> & field_times_shapes,
GhostType ghost_type) const;
/// find natural coords from real coords provided an element
template <ElementType type>
void inverseMap(const Vector<Real> & real_coords,
UInt element,
Vector<Real> & natural_coords,
const GhostType & ghost_type = _not_ghost) const;
/// return true if the coordinates provided are inside the element, false otherwise
template <ElementType type>
bool contains(const Vector<Real> & real_coords,
UInt elem,
const GhostType & ghost_type) const;
/// compute the shape on a provided point
template <ElementType type>
void computeShapes(const Vector<Real> & real_coords,
UInt elem,
Vector<Real> & shapes,
const GhostType & ghost_type) const;
/// compute the shape derivatives on a provided point
template <ElementType type>
void computeShapeDerivatives(const Matrix<Real> & real_coords,
UInt elem,
Tensor3<Real> & shapes,
const GhostType & ghost_type) const;
/// function to print the containt of the class
virtual void printself(std::ostream & stream, int indent = 0) const;
protected:
/// compute the shape derivatives on control points for a given element
template <ElementType type>
inline void computeShapeDerivativesOnCPointsByElement(const Matrix<Real> & node_coords,
const Matrix<Real> & natural_coords,
Tensor3<Real> & shapesd) const;
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/// get a the shapes vector
inline const Array<Real> & getShapes(const ElementType & el_type,
const GhostType & ghost_type = _not_ghost) const;
/// get a the shapes derivatives vector
inline const Array<Real> & getShapesDerivatives(const ElementType & el_type,
const GhostType & ghost_type = _not_ghost) const;
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// shape functions for all elements
ElementTypeMapArray<Real, InterpolationType> shapes;
/// shape functions derivatives for all elements
ElementTypeMapArray<Real, InterpolationType> shapes_derivatives;
};
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
#include "shape_lagrange_inline_impl.cc"
__END_AKANTU__
#endif /* __AKANTU_SHAPE_LAGRANGE_HH__ */
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