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integrator_gauss.hh
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/**
* @file integrator_gauss.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Thu Oct 22 2015
*
* @brief Gauss integration facilities
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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_INTEGRATOR_GAUSS_HH__
#define __AKANTU_INTEGRATOR_GAUSS_HH__
/* -------------------------------------------------------------------------- */
#include "integrator.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
template <ElementKind kind> class IntegratorGauss : public Integrator {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
IntegratorGauss(const Mesh & mesh, const ID & id = "integrator_gauss",
const MemoryID & memory_id = 0);
virtual ~IntegratorGauss(){};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
inline void initIntegrator(const Array<Real> & nodes,
const ElementType & type,
const GhostType & ghost_type);
/// integrate f on the element "elem" of type "type"
template <ElementType type>
inline void integrateOnElement(const Array<Real> & f, Real * intf,
UInt nb_degree_of_freedom, const UInt elem,
const GhostType & ghost_type) const;
/// integrate f for all elements of type "type"
template <ElementType type>
void integrate(const Array<Real> & in_f, Array<Real> & intf,
UInt nb_degree_of_freedom, const GhostType & ghost_type,
const Array<UInt> & filter_elements) const;
/// integrate one element scalar value on all elements of type "type"
template <ElementType type>
Real integrate(const Vector<Real> & in_f, UInt index,
const GhostType & ghost_type) const;
/// integrate scalar field in_f
template <ElementType type>
Real integrate(const Array<Real> & in_f, const GhostType & ghost_type,
const Array<UInt> & filter_elements) const;
/// integrate a field without using the pre-computed values
template <ElementType type, UInt polynomial_degree>
void integrate(const Array<Real> & in_f,
Array<Real> & intf,
UInt nb_degree_of_freedom,
const GhostType & ghost_type) const;
/// integrate scalar field in_f
template <ElementType type, UInt polynomial_degree>
Real integrate(const Array<Real> & in_f, const GhostType & ghost_type = _not_ghost) const;
/// integrate partially around a quadrature point (@f$ intf_q = f_q * J_q *
/// w_q @f$)
template <ElementType type>
void integrateOnIntegrationPoints(const Array<Real> & in_f,
Array<Real> & intf,
UInt nb_degree_of_freedom,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const;
/// return a matrix with quadrature points natural coordinates
template <ElementType type>
const Matrix<Real> & getIntegrationPoints(const GhostType & ghost_type) const;
/// return number of quadrature points
template <ElementType type>
UInt getNbIntegrationPoints(const GhostType & ghost_type) const;
template <ElementType type, UInt n> Matrix<Real> getIntegrationPoints() const;
template <ElementType type, UInt n> Vector<Real> getIntegrationWeights() const;
protected:
template <ElementType type>
void computeJacobiansOnIntegrationPoints(const Array<Real> & nodes,
const Matrix<Real> & quad_points,
Array<Real> & jacobians,
const GhostType & ghost_type) const;
/// precompute jacobians on elements of type "type"
template <ElementType type>
void precomputeJacobiansOnQuadraturePoints(const Array<Real> & nodes,
const GhostType & ghost_type);
// multiply the jacobians by the integration weights and stores the results in
// jacobians
template <ElementType type, UInt polynomial_degree>
void multiplyJacobiansByWeights(Array<Real> & jacobians) const;
/// compute the vector of quadrature points natural coordinates
template <ElementType type>
void computeQuadraturePoints(const GhostType & ghost_type);
/// check that the jacobians are not negative
template <ElementType type>
void checkJacobians(const GhostType & ghost_type) const;
/// internal integrate partially around a quadrature point (@f$ intf_q = f_q *
/// J_q *
/// w_q @f$)
void
integrateOnIntegrationPoints(const Array<Real> & in_f, Array<Real> & intf,
UInt nb_degree_of_freedom,
const Array<Real> & jacobians, UInt nb_element) const;
void integrate(const Array<Real> & in_f, Array<Real> & intf,
UInt nb_degree_of_freedom, const Array<Real> & jacobians,
UInt nb_element) const;
public:
/// compute the jacobians on quad points for a given element
template <ElementType type>
void computeJacobianOnQuadPointsByElement(
const Matrix<Real> & node_coords,
const Matrix<Real> & integration_points, Vector<Real> & jacobians) const;
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// integrate the field f with the jacobian jac -> inte
inline void integrate(Real * f, Real * jac, Real * inte,
UInt nb_degree_of_freedom,
UInt nb_quadrature_points) const;
private:
/// ElementTypeMap of the quadrature points
ElementTypeMap<Matrix<Real> > quadrature_points;
};
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
#if defined(AKANTU_INCLUDE_INLINE_IMPL)
#include "integrator_gauss_inline_impl.cc"
#endif
__END_AKANTU__
#endif /* __AKANTU_INTEGRATOR_GAUSS_HH__ */
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