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fem_template.hh
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/**
* @file fem_template.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date Tue Feb 15 16:32:44 2011
*
* @brief templated class that calls integration and shape objects
*
* @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/>.
*
*/
#ifndef __AKANTU_FEM_TEMPLATE_HH__
#define __AKANTU_FEM_TEMPLATE_HH__
/* -------------------------------------------------------------------------- */
#include "fem.hh"
#include "integrator.hh"
#include "shape_functions.hh"
#include "shape_lagrange.hh"
#include "shape_linked.hh"
#include "integrator_gauss.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
class FEMTemplate : public FEM{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
FEMTemplate(Mesh & mesh, UInt spatial_dimension = 0,
ID id = "fem", MemoryID memory_id = 0);
virtual ~FEMTemplate();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// pre-compute all the shape functions, their derivatives and the jacobians
void initShapeFunctions(const GhostType & ghost_type = _not_ghost);
/* ------------------------------------------------------------------------ */
/* Integration method bridges */
/* ------------------------------------------------------------------------ */
/// integrate f for all elements of type "type"
void integrate(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// integrate a scalar value on all elements of type "type"
Real integrate(const Vector<Real> & f,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// integrate one element scalar value on all elements of type "type"
virtual Real integrate(const types::RVector & f,
const ElementType & type,
UInt index, const GhostType & ghost_type = _not_ghost) const;
/// integrate partially around a quadrature point (@f$ intf_q = f_q * J_q * w_q @f$)
void integrateOnQuadraturePoints(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// get the number of quadrature points
UInt getNbQuadraturePoints(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
/// get shapes precomputed
const Vector<Real> & getShapes(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
/// get the derivatives of shapes
const Vector<Real> & getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type = _not_ghost,
UInt id=0) const;
/// get quadrature points
const Vector<Real> & getQuadraturePoints(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
/* ------------------------------------------------------------------------ */
/* Shape method bridges */
/* ------------------------------------------------------------------------ */
/// compute the gradient of a nodal field on the quadrature points
void gradientOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &nablauq,
const UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// interpolate a nodal field on the quadrature points
void interpolateOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &uq,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// find natural coords from real coords provided an element
void inverseMap(const types::RVector & real_coords,
UInt element,
const ElementType & type,
types::RVector & natural_coords,
const GhostType & ghost_type = _not_ghost) const;
/// return true if the coordinates provided are inside the element, false otherwise
inline bool contains(const types::RVector & real_coords,
UInt element,
const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
/// compute the shape on a provided point
inline void computeShapes(const types::RVector & real_coords,
UInt element,
const ElementType & type,
types::RVector & shapes,
const GhostType & ghost_type = _not_ghost) const;
/* ------------------------------------------------------------------------ */
/* Other methods */
/* ------------------------------------------------------------------------ */
/// pre-compute normals on control points
void computeNormalsOnControlPoints(const GhostType & ghost_type = _not_ghost);
void computeNormalsOnControlPoints(const Vector<Real> & field,
const GhostType & ghost_type = _not_ghost);
void computeNormalsOnControlPoints(const Vector<Real> & field,
Vector<Real> & normal,
const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
/// function to print the contain of the class
// virtual void printself(std::ostream & stream, int indent = 0) const{};
void assembleFieldLumped(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
ElementType type,
const GhostType & ghost_type = _not_ghost) const;
void assembleFieldMatrix(const Vector<Real> & field,
UInt nb_degree_of_freedom,
SparseMatrix & matrix,
ElementType type,
const GhostType & ghost_type = _not_ghost) const;
private:
template <ElementType type>
void assembleLumpedTemplate(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const;
/// @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j dV = \int \rho \varphi_i dV @f$
template <ElementType type>
void assembleLumpedRowSum(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const;
/// @f$ \tilde{M}_{i} = c * M_{ii} = \int_{V_e} \rho dV @f$
template <ElementType type>
void assembleLumpedDiagonalScaling(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const;
template <ElementType type>
void assembleFieldMatrix(const Vector<Real> & field,
UInt nb_degree_of_freedom,
SparseMatrix & matrix,
const GhostType & ghost_type) const;
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
const ShapeFunctions & getShapeFunctionsInterface() const { return shape_functions; };
const Shape & getShapeFunctions() const { return shape_functions; };
const Integrator & getIntegratorInterface() const { return integrator; };
const Integ & getIntegrator() const { return integrator; };
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
private:
Integ integrator;
Shape shape_functions;
};
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
#include "fem_template_inline_impl.cc"
#include "fem_template_tmpl.hh"
/* -------------------------------------------------------------------------- */
#if defined(AKANTU_COHESIVE_ELEMENT)
# include "fem_template_cohesive_inline_impl.cc"
# include "fem_template_cohesive_tmpl.hh"
#endif
/// standard output stream operator
// inline std::ostream & operator <<(std::ostream & stream, const FEMTemplate & _this)
// {
// _this.printself(stream);
// return stream;
// }
__END_AKANTU__
// #if defined(AKANTU_COHESIVE_ELEMENT)
// # include "shape_cohesive.hh"
// # include "integrator_cohesive.hh"
// #endif
#endif /* __AKANTU_FEM_TEMPLATE_HH__ */
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