--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2022 - 2023 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, 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.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// Check TrilinosWrappers::NOXSolver. This test solves the same
+// problem as nox_solver_03, but it throws an exception in solve_with_jacobian.
+// This callback is special, since with default settings NOX tries to perform a
+// recovery step once an exception has been raised there. We need to treat such
+// situations accordingly. This test verifies that the recovery functionality of
+// NOX works.
+
+
+#include <deal.II/base/mpi.h>
+
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/vector.h>
+
+#include <deal.II/trilinos/nox.h>
+
+#include "../tests.h"
+
+
+int
+main(int argc, char **argv)
+{
+ initlog();
+
+ Utilities::MPI::MPI_InitFinalize mpi_init(argc, argv, 1);
+
+ using Number = double;
+ using VectorType = Vector<Number>;
+
+ // set up solver control
+ const unsigned int n_max_iterations = 10;
+ const double abs_tolerance = 1e-9;
+ const double rel_tolerance = 1e-5;
+
+ TrilinosWrappers::NOXSolver<VectorType>::AdditionalData additional_data(
+ n_max_iterations, abs_tolerance, rel_tolerance);
+
+ // set up parameters
+ Teuchos::RCP<Teuchos::ParameterList> non_linear_parameters =
+ Teuchos::rcp(new Teuchos::ParameterList);
+
+ non_linear_parameters->set("Nonlinear Solver", "Line Search Based");
+ non_linear_parameters->sublist("Printing").set("Output Information", 15);
+ non_linear_parameters->sublist("Direction").set("Method", "Newton");
+ non_linear_parameters->sublist("Line Search").set("Method", "Polynomial");
+
+
+ // set up solver
+ TrilinosWrappers::NOXSolver<VectorType> solver(additional_data,
+ non_linear_parameters);
+
+ // ... helper functions
+ solver.residual = [](const VectorType &u, VectorType &F) {
+ deallog << "Evaluating the solution at u=(" << u[0] << ',' << u[1] << ')'
+ << std::endl;
+
+ F(0) = std::cos(u[0] + u[1]) - 1 + 2 * u[0];
+ F(1) = std::sin(u[0] - u[1]) + 2 * u[1];
+ };
+
+ FullMatrix<double> J(2, 2);
+ FullMatrix<double> J_inverse(2, 2);
+
+ solver.setup_jacobian = [&J, &J_inverse](const VectorType &u) {
+ // We don't do any kind of set-up in this program, but we can at least
+ // say that we're here
+ deallog << "Setting up Jacobian system at u=(" << u[0] << ',' << u[1] << ')'
+ << std::endl;
+
+ J(0, 0) = -std::sin(u[0] + u[1]) + 2;
+ J(0, 1) = -std::sin(u[0] + u[1]);
+ J(1, 0) = std::cos(u[0] - u[1]);
+ J(1, 1) = -std::cos(u[0] - u[1]) + 2;
+
+ J_inverse.invert(J);
+ };
+
+ solver.apply_jacobian = [&](const VectorType &src, VectorType &dst) {
+ J.vmult(dst, src);
+ };
+
+ unsigned int counter = 0;
+
+ solver.solve_with_jacobian = [&J_inverse,
+ &counter](const VectorType &rhs,
+ VectorType &dst,
+ const double /*tolerance*/) {
+ deallog << "Solving Jacobian system with rhs=(" << rhs[0] << ',' << rhs[1]
+ << ')' << std::endl;
+
+ J_inverse.vmult(dst, rhs);
+
+ counter++;
+
+ // Fail linear solver step but NOX should perform a recovery step
+ if (counter == 2)
+ throw RecoverableUserCallbackError(
+ "Recoverable failure in solve_with_jacobian.");
+
+ // Throw an irrecoverable exception then
+ if (counter == 5)
+ throw ExcMessage("Irrecoverable failure in solve_with_jacobian.");
+ };
+
+ // initial guess
+ const unsigned int N = 2;
+ VectorType solution(N);
+ solution[0] = 0.5;
+ solution[1] = 1.234;
+
+ // solve with the given initial guess
+ try
+ {
+ auto niter = solver.solve(solution);
+ solution.print(deallog.get_file_stream());
+ deallog << "Converged in " << niter << " iterations." << std::endl;
+ }
+ catch (const std::exception &exc)
+ {
+ deallog << "Caught an irrecoverable exception in a callback:" << std::endl
+ << exc.what() << std::endl;
+ }
+ catch (const char *s)
+ {
+ deallog << "Trilinos threw its own exception of type char*:" << std::endl
+ << s << std::endl;
+ }
+}
--- /dev/null
+
+DEAL::Evaluating the solution at u=(0.500000,1.23400)
+DEAL::Setting up Jacobian system at u=(0.500000,1.23400)
+DEAL::Solving Jacobian system with rhs=(-0.162480,1.79816)
+DEAL::Evaluating the solution at u=(-0.282294,0.265967)
+DEAL::Setting up Jacobian system at u=(-0.282294,0.265967)
+DEAL::Solving Jacobian system with rhs=(-0.564722,0.0107297)
+DEAL::Evaluating the solution at u=(-0.564143,0.485115)
+DEAL::Evaluating the solution at u=(-0.564143,0.485115)
+DEAL::Setting up Jacobian system at u=(-0.564143,0.485115)
+DEAL::Solving Jacobian system with rhs=(-1.13141,0.103177)
+DEAL::Evaluating the solution at u=(-0.0103358,0.232689)
+DEAL::Setting up Jacobian system at u=(-0.0103358,0.232689)
+DEAL::Solving Jacobian system with rhs=(-0.0452903,0.224738)
+DEAL::Evaluating the solution at u=(-0.0117725,0.0157208)
+DEAL::Setting up Jacobian system at u=(-0.0117725,0.0157208)
+DEAL::Solving Jacobian system with rhs=(-0.0235528,0.00395177)
+DEAL::Caught an irrecoverable exception in a callback:
+DEAL::
+--------------------------------------------------------
+An error occurred in line <0> of file <> in function
+
+The violated condition was:
+
+Additional information:
+ Irrecoverable failure in solve_with_jacobian.
+--------------------------------------------------------
+
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2022 - 2023 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, 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.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// Check TrilinosWrappers::NOXSolver. This test solves the same
+// problem as nox_solver_03 and checks the same special case of
+// solve_with_jacobian as nox_solver_05, but this time we disable the recovery
+// functionality. So the NOX wrapper is expected to behave like in
+// nox_solver_04.
+
+
+#include <deal.II/base/mpi.h>
+
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/vector.h>
+
+#include <deal.II/trilinos/nox.h>
+
+#include "../tests.h"
+
+
+int
+main(int argc, char **argv)
+{
+ initlog();
+
+ Utilities::MPI::MPI_InitFinalize mpi_init(argc, argv, 1);
+
+ using Number = double;
+ using VectorType = Vector<Number>;
+
+ // set up solver control
+ const unsigned int n_max_iterations = 10;
+ const double abs_tolerance = 1e-9;
+ const double rel_tolerance = 1e-5;
+
+ TrilinosWrappers::NOXSolver<VectorType>::AdditionalData additional_data(
+ n_max_iterations, abs_tolerance, rel_tolerance);
+
+ // set up parameters
+ Teuchos::RCP<Teuchos::ParameterList> non_linear_parameters =
+ Teuchos::rcp(new Teuchos::ParameterList);
+
+ non_linear_parameters->set("Nonlinear Solver", "Line Search Based");
+ non_linear_parameters->sublist("Printing").set("Output Information", 15);
+ non_linear_parameters->sublist("Direction").set("Method", "Newton");
+ non_linear_parameters->sublist("Direction")
+ .sublist("Newton")
+ .set("Rescue Bad Newton Solve", false);
+ non_linear_parameters->sublist("Line Search").set("Method", "Polynomial");
+
+
+ // set up solver
+ TrilinosWrappers::NOXSolver<VectorType> solver(additional_data,
+ non_linear_parameters);
+
+ // ... helper functions
+ solver.residual = [](const VectorType &u, VectorType &F) {
+ deallog << "Evaluating the solution at u=(" << u[0] << ',' << u[1] << ')'
+ << std::endl;
+
+ F(0) = std::cos(u[0] + u[1]) - 1 + 2 * u[0];
+ F(1) = std::sin(u[0] - u[1]) + 2 * u[1];
+ };
+
+ FullMatrix<double> J(2, 2);
+ FullMatrix<double> J_inverse(2, 2);
+
+ solver.setup_jacobian = [&J, &J_inverse](const VectorType &u) {
+ // We don't do any kind of set-up in this program, but we can at least
+ // say that we're here
+ deallog << "Setting up Jacobian system at u=(" << u[0] << ',' << u[1] << ')'
+ << std::endl;
+
+ J(0, 0) = -std::sin(u[0] + u[1]) + 2;
+ J(0, 1) = -std::sin(u[0] + u[1]);
+ J(1, 0) = std::cos(u[0] - u[1]);
+ J(1, 1) = -std::cos(u[0] - u[1]) + 2;
+
+ J_inverse.invert(J);
+ };
+
+ solver.apply_jacobian = [&](const VectorType &src, VectorType &dst) {
+ J.vmult(dst, src);
+ };
+
+ unsigned int counter = 0;
+
+ solver.solve_with_jacobian = [&J_inverse,
+ &counter](const VectorType &rhs,
+ VectorType &dst,
+ const double /*tolerance*/) {
+ deallog << "Solving Jacobian system with rhs=(" << rhs[0] << ',' << rhs[1]
+ << ')' << std::endl;
+
+ J_inverse.vmult(dst, rhs);
+
+ counter++;
+
+ if (counter == 3)
+ throw ExcMessage("Irrecoverable failure in solve_with_jacobian.");
+ };
+
+ // initial guess
+ const unsigned int N = 2;
+ VectorType solution(N);
+ solution[0] = 0.5;
+ solution[1] = 1.234;
+
+ // solve with the given initial guess
+ try
+ {
+ auto niter = solver.solve(solution);
+ solution.print(deallog.get_file_stream());
+ deallog << "Converged in " << niter << " iterations." << std::endl;
+ }
+ catch (const std::exception &exc)
+ {
+ deallog << "Caught an irrecoverable exception in a callback:" << std::endl
+ << exc.what() << std::endl;
+ }
+ catch (const char *s)
+ {
+ deallog << "Trilinos threw its own exception of type char*:" << std::endl
+ << s << std::endl;
+ }
+}
--- /dev/null
+
+DEAL::Evaluating the solution at u=(0.500000,1.23400)
+DEAL::Setting up Jacobian system at u=(0.500000,1.23400)
+DEAL::Solving Jacobian system with rhs=(-0.162480,1.79816)
+DEAL::Evaluating the solution at u=(-0.282294,0.265967)
+DEAL::Setting up Jacobian system at u=(-0.282294,0.265967)
+DEAL::Solving Jacobian system with rhs=(-0.564722,0.0107297)
+DEAL::Evaluating the solution at u=(-0.000445202,0.0468183)
+DEAL::Setting up Jacobian system at u=(-0.000445202,0.0468183)
+DEAL::Solving Jacobian system with rhs=(-0.00196544,0.0463907)
+DEAL::Caught an irrecoverable exception in a callback:
+DEAL::
+--------------------------------------------------------
+An error occurred in line <0> of file <> in function
+
+The violated condition was:
+
+Additional information:
+ Irrecoverable failure in solve_with_jacobian.
+--------------------------------------------------------
+