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fem.hh
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/**
* @file fem.hh
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Fri Jul 16 10:24:24 2010
*
* @brief FEM class
*
* @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_HH__
#define __AKANTU_FEM_HH__
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "aka_memory.hh"
#include "mesh.hh"
#include "element_class.hh"
#include "sparse_matrix.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
class QuadraturePoint : public Element {
public:
QuadraturePoint(ElementType type = _not_defined, UInt element = 0,
UInt num_point = 0, GhostType ghost_type = _not_ghost) :
Element(type, element, ghost_type), num_point(num_point),
position() { };
QuadraturePoint(const QuadraturePoint & quad) :
Element(quad), num_point(quad.num_point) { };
virtual ~QuadraturePoint() {};
AKANTU_GET_MACRO(Position, position, const types::RVector &);
void setPosition(const types::RVector & position) {
this->position.setSize(position.size());
this->position.setStorage(position.storage());
}
public:
UInt num_point;
private:
types::RVector position;
};
/**
* The generic FEM class derived in a FEMTemplate class containing the
* shape functions and the integration method
*/
class FEM : protected Memory {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
FEM(Mesh & mesh, UInt spatial_dimension = 0,
ID id = "fem", MemoryID memory_id = 0);
virtual ~FEM();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// build the profile of the sparse matrix corresponding to the mesh
void initSparseMatrixProfile(SparseMatrixType sparse_matrix_type = _unsymmetric);
/// pre-compute all the shape functions, their derivatives and the jacobians
virtual void initShapeFunctions(const GhostType & ghost_type = _not_ghost) = 0;
/* ------------------------------------------------------------------------ */
/* Integration method bridges */
/* ------------------------------------------------------------------------ */
/// integrate f for all elements of type "type"
virtual void integrate(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const = 0;
/// integrate a scalar value on all elements of type "type"
virtual Real integrate(const Vector<Real> & f,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const = 0;
/// integrate f for all quadrature points of type "type"
virtual void integrateOnQuadraturePoints(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const = 0;
/* ------------------------------------------------------------------------ */
/* compatibility with old FEM fashion */
/* ------------------------------------------------------------------------ */
/// get the number of quadrature points
virtual UInt getNbQuadraturePoints(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const = 0;
/// get the precomputed shapes
const virtual Vector<Real> & getShapes(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const = 0;
/// get the derivatives of shapes
const virtual Vector<Real> & getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type = _not_ghost,
UInt id = 0) const = 0;
/// get quadrature points
const virtual Vector<Real> & getQuadraturePoints(const ElementType & type,
const GhostType & ghost_type = _not_ghost) const = 0;
/* ------------------------------------------------------------------------ */
/* Shape method bridges */
/* ------------------------------------------------------------------------ */
virtual
void gradientOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &nablauq,
const UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const = 0;
virtual
void interpolateOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &uq,
UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const =0;
/* ------------------------------------------------------------------------ */
/* Other methods */
/* ------------------------------------------------------------------------ */
/// pre-compute normals on control points
virtual void computeNormalsOnControlPoints(const GhostType & ghost_type = _not_ghost)=0;
/// assemble vectors
void assembleVector(const Vector<Real> & elementary_vect,
Vector<Real> & nodal_values,
const Vector<Int> & equation_number,
UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL,
Real scale_factor = 1) const;
/// assemble matrix in the complete sparse matrix
void assembleMatrix(const Vector<Real> & elementary_mat,
SparseMatrix & matrix,
UInt nb_degre_of_freedom,
const ElementType & type,
const GhostType & ghost_type = _not_ghost,
const Vector<UInt> * filter_elements = NULL) const;
/// assemble a field as a lumped matrix (ex. rho in lumped mass)
virtual void assembleFieldLumped(__attribute__ ((unused)) const Vector<Real> & field_1,
__attribute__ ((unused)) UInt nb_degree_of_freedom,
__attribute__ ((unused)) Vector<Real> & lumped,
__attribute__ ((unused)) const Vector<Int> & equation_number,
__attribute__ ((unused)) ElementType type,
__attribute__ ((unused)) const GhostType & ghost_type) const {
AKANTU_DEBUG_TO_IMPLEMENT();
};
/// assemble a field as a matrix (ex. rho to mass matrix)
virtual void assembleFieldMatrix(__attribute__ ((unused)) const Vector<Real> & field_1,
__attribute__ ((unused)) UInt nb_degree_of_freedom,
__attribute__ ((unused)) SparseMatrix & matrix,
__attribute__ ((unused)) ElementType type,
__attribute__ ((unused)) const GhostType & ghost_type) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/// function to print the containt of the class
virtual void printself(std::ostream & stream, int indent = 0) const;
private:
/// initialise the class
void init();
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
AKANTU_GET_MACRO(ElementDimension, element_dimension, UInt);
/// get the mesh contained in the fem object
__aka_inline__ Mesh & getMesh() const;
/// get the in-radius of an element
static __aka_inline__ Real getElementInradius(Real * coord, const ElementType & type);
/// get the normals on quadrature points
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(NormalsOnQuadPoints, normals_on_quad_points, Real);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// id of the fem object
ID id;
/// spatial dimension of the problem
UInt element_dimension;
/// the mesh on which all computation are made
Mesh * mesh;
/// normals at quadrature points
ByElementTypeReal normals_on_quad_points;
};
/* -------------------------------------------------------------------------- */
/* __aka_inline__ functions */
/* -------------------------------------------------------------------------- */
#if defined (AKANTU_INCLUDE_INLINE_IMPL)
# include "fem_inline_impl.cc"
#endif
/// standard output stream operator
inline std::ostream & operator <<(std::ostream & stream, const FEM & _this)
{
_this.printself(stream);
return stream;
}
__END_AKANTU__
#include "fem_template.hh"
#endif /* __AKANTU_FEM_HH__ */

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