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parabolic_driver.hpp
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parabolic_driver.hpp
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/* =============================================================================
Copyright (c) 2014 - 2016
F. Georget <fabieng@princeton.edu> Princeton University
All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright notice,
this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation
and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its
contributors may be used to endorse or promote products derived from this
software without specific prior written permission.
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
============================================================================= */
#ifndef SPECMICP_DFPMSOLVER_PARABOLICDRIVER_HPP
#define SPECMICP_DFPMSOLVER_PARABOLICDRIVER_HPP
#include "specmicp_common/types.hpp"
#include "specmicp_common/sparse_solvers/sparse_solver.hpp"
#include "driver.hpp"
#include "parabolic_structs.hpp"
namespace specmicp {
namespace dfpmsolver {
//! \brief The parabolic driver
//!
//! Parabolic driver for finite element programs
template <class Program>
class ParabolicDriver: public Driver<Program, ParabolicDriverOptions, ParabolicDriverPerformance>
{
public:
using base=Driver<Program, ParabolicDriverOptions, ParabolicDriverPerformance>;
using base::program;
using base::get_neq;
using base::get_options;
using base::get_perfs;
using base::scaling;
using base::initialize_scaling;
ParabolicDriver(Program& the_program):
Driver<Program, ParabolicDriverOptions, ParabolicDriverPerformance>(the_program),
m_velocity(Vector::Zero(the_program.get_tot_ndf())),
m_solver(nullptr)
{}
//! \brief Solve a timestep of length dt
ParabolicDriverReturnCode solve_timestep(scalar_t dt, Vector& displacement);
//! \brief Restart the current timestep
ParabolicDriverReturnCode restart_timestep(Vector& displacement);
//! \brief Check if the solution has been found
ParabolicDriverReturnCode check_convergence();
//! \brief Compute the residuals
void compute_residuals(const Vector& displacement,
Vector& residual)
{
compute_residuals(displacement, m_velocity, residual);
}
//! \brief Compute the residuals
void compute_residuals(const Vector& displacement,
const Vector& velocity,
Vector& residual)
{
program().compute_residuals(displacement, velocity, residual);
get_perfs().nb_call_residuals += 1;
}
//! \brief Compute the residuals for use to check convergence
//!
//! For most program, it is the same as calling compute_residuals
void compute_residuals_0(const Vector& displacement,
const Vector& velocity,
Vector& residual)
{
program().compute_residuals_0(displacement, velocity, residual);
get_perfs().nb_call_residuals += 1;
}
//! \brief Compute the jacobian
void compute_jacobian(Vector& displacement,
Vector& velocity,
Eigen::SparseMatrix<scalar_t>& jacobian
);
//! \brief Return the norm of the current residuals
double norm_residuals() {return m_residuals.norm();}
//! \brief Read/Write reference to the velocity vector
const Vector& get_velocity() const {return m_velocity;}
Vector& velocity() {return m_velocity;}
void set_velocity(Vector& velocity_vector);
//! \brief Reset the Sparse solver
//! This function should be called when a new solver need to be used
void reset_solver() {return m_solver.reset(nullptr);}
//! \brief Call this function if the pattern of the jacobian has changed
void jacobian_pattern_has_changed() {reset_solver();}
//! \brief Initialize the computation
void initialize_timestep(scalar_t dt, Eigen::VectorXd& displacement);
//! \brief Strang Linesearch
//!
//! ref :
//! - Matthies et al. (1979)
//! - JHP course notes
ParabolicLinesearchReturnCode strang_linesearch(
Vector& update,
Vector& displacements,
scalar_t& lambda
);
scalar_t residuals_0() {return m_norm_0;}
private:
void reset_velocity();
//! \brief Backtracking Linesearch
//!
//! ref :
//! - Algo A6.3.1 : Dennis and Schnabel (1983)
//! - Nocedal & Wrigth (2006)
ParabolicLinesearchReturnCode backtracking_linesearch(
Vector& update,
Vector& displacements,
scalar_t& lambda_out
);
//! Update the variables in displacement
void update_variable(
const Vector& update,
scalar_t lambda,
Vector& displacement
);
//! \brief Set the predictor
void set_predictor(Vector& displacement);
//! \brief perform the linesearch
ParabolicDriverReturnCode linesearch(
Vector &update,
Vector &displacements
);
//! Compute the residuals for the linesearch
double compute_residuals_linesearch(
Vector& update,
scalar_t lambda,
Vector& displacement
);
double compute_residuals_strang_linesearch(
Vector &update,
scalar_t lambda,
Vector &displacement
);
scalar_t update_norm(const Vector& update);
double m_norm_0 {0.0};
double m_current_dt {-1.0};
Eigen::VectorXd m_gradient;
Eigen::VectorXd m_velocity;
Eigen::VectorXd m_residuals;
Eigen::VectorXd m_predictor;
Eigen::SparseMatrix<double> m_jacobian;
sparse_solvers::SparseSolverPtr<Eigen::SparseMatrix<double>, Vector, Vector> m_solver;
bool m_velocity_is_initialized {false};
};
} // end namespace dfpmsolver
} // end namespace specmicp
// implementation
// ==============
#include "parabolic_driver.inl"
#endif // SPECMICP_DFPMSOLVER_PARABOLICDRIVER_HPP

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