TrustRegionSubProblem.cxx

// Copyright 2023, UChicago Argonne, LLC
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// Software Name: NEML2 -- the New Engineering material Model Library, version 2
// By: Argonne National Laboratory
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#include "neml2/solvers/TrustRegionSubProblem.h"
#include "neml2/misc/math.h"
 
namespace neml2
{
TrustRegionSubProblem::TrustRegionSubProblem(const OptionSet & options)
  : NonlinearSystem(options)
{
}
 
void
TrustRegionSubProblem::reinit(const NonlinearSystem & system, const Scalar & delta)
{
  _batch_sizes = delta.batch_sizes().vec();
  _options = delta.options();
 
  _solution = Scalar::zeros(_batch_sizes, _options);
  _residual = Scalar::empty(_batch_sizes, _options);
  _Jacobian = Scalar::empty(_batch_sizes, _options);
 
  _R = system.residual_view().clone();
  _J = system.Jacobian_view().clone();
  _delta = delta.clone();
 
  _JJ = math::bmm(_J.base_transpose(0, 1), _J);
  _JR = math::bmv(_J.base_transpose(0, 1), _R);
}
 
void
TrustRegionSubProblem::assemble(bool residual, bool Jacobian)
{
  auto s = Scalar(_solution);
  auto p = -preconditioned_direction(s);
  auto np = math::sqrt(math::bvv(p, p));
 
  if (residual)
    _residual = 1.0 / np - 1.0 / math::sqrt(2.0 * _delta);
 
  if (Jacobian)
    _Jacobian = 1.0 / math::pow(np, 3.0) * math::bvv(p, preconditioned_solve(s, p));
}
 
BatchTensor
TrustRegionSubProblem::preconditioned_solve(const Scalar & s, const BatchTensor & v) const
{
  return math::linalg::solve(_JJ + s * BatchTensor::identity(v.base_sizes()[0], _options), v);
}
 
BatchTensor
TrustRegionSubProblem::preconditioned_direction(const Scalar & s) const
{
  return preconditioned_solve(s, _JR);
}
} // namespace neml2