/usr/include/dolfin/multistage/PointIntegralSolver.h is in libdolfin-dev 2017.2.0.post0-2.
This file is owned by root:root, with mode 0o644.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 | // Copyright (C) 2013 Johan Hake
//
// This file is part of DOLFIN.
//
// DOLFIN 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.
//
// DOLFIN 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 DOLFIN. If not, see <http://www.gnu.org/licenses/>.
//
// First added: 2013-02-15
// Last changed: 2016-04-27
#ifndef __POINTINTEGRALSOLVER_H
#define __POINTINTEGRALSOLVER_H
#include <memory>
#include <set>
#include <vector>
#include <dolfin/common/Variable.h>
#include <dolfin/fem/Assembler.h>
namespace dolfin
{
// Forward declarations
class MultiStageScheme;
class UFC;
/// This class is a time integrator for general Runge Kutta forms
/// It only includes Point integrals with piecewise linear test
/// functions. Such problems are disconnected at the vertices and
/// can therefore be solved locally.
class PointIntegralSolver : public Variable
{
public:
/// Constructor
/// FIXME: Include version where one can pass a Solver and/or
/// Parameters
explicit PointIntegralSolver(std::shared_ptr<MultiStageScheme> scheme);
/// Destructor
~PointIntegralSolver();
/// Step solver with time step dt
void step(double dt);
/// Step solver an interval using dt as time step
void step_interval(double t0, double t1, double dt);
/// Return the MultiStageScheme
std::shared_ptr<MultiStageScheme> scheme() const
{ return _scheme; }
/// Default parameter values
static Parameters default_parameters()
{
Parameters p("point_integral_solver");
p.add("reset_stage_solutions", true);
// Set parameters for NewtonSolver
Parameters pn("newton_solver");
pn.add("maximum_iterations", 40);
pn.add("always_recompute_jacobian", false);
pn.add("recompute_jacobian_each_solve", true);
pn.add("relaxation_parameter", 1., 0., 1.);
pn.add("relative_tolerance", 1e-10, 1e-20, 2.);
pn.add("absolute_tolerance", 1e-15, 1e-20, 2.);
pn.add("kappa", 0.1, 0.05, 1.0);
pn.add("eta_0", 1., 1e-15, 1.0);
pn.add("max_relative_previous_residual", 1e-1, 1e-5, 1.);
pn.add("reset_each_step", true);
pn.add("report", false);
pn.add("report_vertex", 0, 0, 32767);
pn.add("verbose_report", false);
p.add(pn);
return p;
}
/// Reset newton solver
void reset_newton_solver();
/// Reset stage solutions
void reset_stage_solutions();
/// Return number of computations of jacobian
std::size_t num_jacobian_computations() const
{ return _num_jacobian_computations; }
private:
// In-place LU factorization of jacobian matrix
void _lu_factorize(std::vector<double>& A);
// Forward backward substitution, assume that mat is already
// in place LU factorized
void _forward_backward_subst(const std::vector<double>& A,
const std::vector<double>& b,
std::vector<double>& x) const;
// Compute jacobian using passed UFC form
void _compute_jacobian(std::vector<double>& jac,
const std::vector<double>& u,
unsigned int local_vert, UFC& loc_ufc,
const Cell& cell, const ufc::cell& ufc_cell,
int coefficient_index,
const std::vector<double>& coordinate_dofs);
// Compute the norm of a vector
double _norm(const std::vector<double>& vec) const;
// Check the forms making sure they only include piecewise linear
// test functions
void _check_forms();
// Build map between vertices, cells and the corresponding local
// vertex and initialize UFC data for each form
void _init();
// Solve an explicit stage
void _solve_explicit_stage(std::size_t vert_ind, unsigned int stage,
const ufc::cell& ufc_cell,
const std::vector<double>& coordinate_dofs);
// Solve an implicit stage
void _solve_implicit_stage(std::size_t vert_ind, unsigned int stage,
const Cell& cell, const ufc::cell& ufc_cell,
const std::vector<double>& coordinate_dofs);
void
_simplified_newton_solve(std::size_t vert_ind, unsigned int stage,
const Cell& cell, const ufc::cell& ufc_cell,
const std::vector<double>& coordinate_dofs);
// The MultiStageScheme
std::shared_ptr<MultiStageScheme> _scheme;
// Reference to mesh
std::shared_ptr<const Mesh> _mesh;
// The dofmap (Same for all stages and forms)
const GenericDofMap& _dofmap;
// Size of ODE system
const std::size_t _system_size;
// Offset into local dofmap
// FIXME: Consider put in local loop
const unsigned int _dof_offset;
// Number of stages
const unsigned int _num_stages;
// Local to local dofs to be used in tabulate entity dofs
std::vector<std::size_t> _local_to_local_dofs;
// Vertex map between vertices, cells and corresponding local
// vertex
std::vector<std::pair<std::size_t, unsigned int>> _vertex_map;
// Local to global dofs used when solution is fanned out to global
// vector
std::vector<dolfin::la_index> _local_to_global_dofs;
// Local stage solutions
std::vector<std::vector<double>> _local_stage_solutions;
// Local solutions
std::vector<double> _u0;
std::vector<double> _residual;
std::vector<double> _y;
std::vector<double> _dx;
// UFC objects, one for each form
std::vector<std::vector<std::shared_ptr<UFC>>> _ufcs;
// UFC objects for the last form
std::shared_ptr<UFC> _last_stage_ufc;
// Solution coefficient index in form
std::vector<std::vector<int>> _coefficient_index;
// Flag which is set to false once the jacobian has been computed
std::vector<bool> _recompute_jacobian;
// Jacobians/LU factorized jacobians matrices
std::vector<std::vector<double>> _jacobians;
// Variable used in the estimation of the error of the newton
// iteration for the first iteration (important for linear
// problems!)
double _eta;
// Number of computations of Jacobian
std::size_t _num_jacobian_computations;
};
}
#endif
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