element_qoi_derivative.C

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2025 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library 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 2.1 of the License, or (at your option) any later version.

// This library 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 this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA



// General libMesh includes
#include "libmesh/libmesh_common.h"
#include "libmesh/elem.h"
#include "libmesh/fe_base.h"
#include "libmesh/fem_context.h"
#include "libmesh/point.h"
#include "libmesh/quadrature.h"

// Local includes
#include "heatsystem.h"

// Bring in everything from the libMesh namespace
using namespace libMesh;

// We only have one QoI, so we don't bother checking the qois argument
// to see if it was requested from us
void HeatSystem::element_qoi_derivative (DiffContext & context,
                                         const QoISet & /* qois */)
{
  FEMContext & c = cast_ref<FEMContext &>(context);

  // First we get some references to cell-specific data that
  // will be used to assemble the linear system.
  FEBase * elem_fe = nullptr;
  c.get_element_fe(0, elem_fe);

  // Element Jacobian * quadrature weights for interior integration
  const std::vector<Real> & JxW = elem_fe->get_JxW();

  // The basis functions for the element
  const std::vector<std::vector<Real>> & phi = elem_fe->get_phi();

  // The number of local degrees of freedom in each variable
  const unsigned int n_T_dofs = c.n_dof_indices(0);
  unsigned int n_qpoints = c.get_element_qrule().n_points();

  // Fill the QoI RHS corresponding to this QoI. Since this is the 0th QoI
  // we fill in the [0][i] subderivatives, i corresponding to the variable index.
  DenseSubVector<Number> & Q0 = c.get_qoi_derivatives(0, 0);
  DenseSubVector<Number> & Q1 = c.get_qoi_derivatives(1, 0);

  // A reference to the system context is built with
  const System & sys = c.get_system();

  // Get a pointer to the adjoint solution vector
  NumericVector<Number> & adjoint_solution0 = const_cast<System &>(sys).get_adjoint_solution(0);
  NumericVector<Number> & adjoint_solution1 = const_cast<System &>(sys).get_adjoint_solution(1);

  // Get the previous adjoint solution values at all the qps
  std::vector<Number> old_adjoint0 (n_qpoints, 0.0);
  c.interior_values<Number>(0, adjoint_solution0, old_adjoint0);

  std::vector<Number> old_adjoint1 (n_qpoints, 0.0);
  c.interior_values<Number>(0, adjoint_solution1, old_adjoint1);

  // Smooth QoI weight
  Number q = 0.0;

  // The current deltat and last taken (potentially from a sub-timestep) deltat
  Number current_deltat = dynamic_cast<const HeatSystem &>(sys).deltat;

  // Loop over the qps
  for (unsigned int qp=0; qp != n_qpoints; qp++)
  {

    for (unsigned int i=0; i != n_T_dofs; i++)
    {
      //The smooth QoI
      q = 1.0;

      Q1(i) += -JxW[qp] * ( q * phi[i][qp] );

      // Transfer error contribution for both QoIs
      Q0(i) += -JxW[qp] * ( old_adjoint0[qp] * phi[i][qp] * (1./current_deltat ) );
      Q1(i) += -JxW[qp] * ( old_adjoint1[qp] * phi[i][qp] * (1./current_deltat ) );

    }
    // End loop over dofs
  }
  // End loop over quadrature points

}