Fix vector access in SolverGMRES

diff --git a/include/deal.II/lac/solver_gmres.h b/include/deal.II/lac/solver_gmres.h
index 76bc111c58cc91d65344a1ca67429978414acf33..e80704e1732fd3eb24b4d9adc02ff3223928d336 100644 (file)
--- a/include/deal.II/lac/solver_gmres.h
+++ b/include/deal.II/lac/solver_gmres.h
@@ -818,10 +818,10 @@ namespace internal
     {
       Assert(dim > 0, ExcInternalError());
 
-      for (unsigned int i = 0; i < dim - 1; ++i)
+      for (unsigned int i = 0; i < dim; ++i)
         vv.add(-h(i), orthogonal_vectors[i]);
 
-      return vv.add_and_dot(-h(dim - 1), orthogonal_vectors[dim - 1], vv);
+      return std::sqrt(vv.add_and_dot(-h(dim), orthogonal_vectors[dim], vv));
     }
 
 
@@ -891,10 +891,10 @@ namespace internal
 
       for (; j < vv.locally_owned_size(); ++j)
         {
-          double temp = vv(j);
+          double temp = vv.local_element(j);
           for (unsigned int i = 0; i < dim; ++i)
-            temp -= h(i) * orthogonal_vectors[i](j);
-          vv(j) = temp;
+            temp -= h(i) * orthogonal_vectors[i].local_element(j);
+          vv.local_element(j) = temp;
 
           norm_vv_temp += temp * temp;
         }

diff --git a/tests/lac/solver.cc b/tests/lac/solver.cc
index 354fb8678a0554c7cd14c6695e34e2426f014879..0ddfc6c3d344a3a64e29f54f3330685058c93194 100644 (file)
--- a/tests/lac/solver.cc
+++ b/tests/lac/solver.cc
@@ -100,6 +100,11 @@ main()
   SolverQMRS<>                  qmrs(control, mem);
   SolverFIRE<>                  fire(control, mem);
 
+  SolverGMRES<>::AdditionalData data3(8);
+  data3.orthogonalization_strategy = SolverGMRES<>::AdditionalData::
+    OrthogonalizationStrategy::classical_gram_schmidt;
+  SolverGMRES<> gmresclassical(control, mem, data3);
+
   for (unsigned int size = 4; size <= 30; size *= 3)
     {
       unsigned int dim = (size - 1) * (size - 1);
@@ -169,6 +174,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_no);
           check_solve(gmres, A, u, f, prec_no);
           check_solve(gmresright, A, u, f, prec_no);
+          check_solve(gmresclassical, A, u, f, prec_no);
           //    check_solve(minres,A,u,f,prec_no);
           check_solve(qmrs, A, u, f, prec_no);
 
@@ -187,6 +193,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_no);
           check_solve(gmres, A, u, f, prec_no);
           check_solve(gmresright, A, u, f, prec_no);
+          check_solve(gmresclassical, A, u, f, prec_no);
           check_solve(qmrs, A, u, f, prec_no);
           check_solve(fire, A, u, f, prec_no);
           rich.set_omega(1.);
@@ -201,6 +208,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_richardson);
           check_solve(gmres, A, u, f, prec_richardson);
           check_solve(gmresright, A, u, f, prec_richardson);
+          check_solve(gmresclassical, A, u, f, prec_richardson);
           check_solve(qmrs, A, u, f, prec_richardson);
           check_solve(fire, A, u, f, prec_richardson);
           rich.set_omega(1.);
@@ -215,6 +223,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_ssor);
           check_solve(gmres, A, u, f, prec_ssor);
           check_solve(gmresright, A, u, f, prec_ssor);
+          check_solve(gmresclassical, A, u, f, prec_ssor);
           check_solve(qmrs, A, u, f, prec_ssor);
           check_solve(fire, A, u, f, prec_ssor);
 
@@ -228,6 +237,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_sor);
           check_solve(gmres, A, u, f, prec_sor);
           check_solve(gmresright, A, u, f, prec_sor);
+          check_solve(gmresclassical, A, u, f, prec_sor);
           check_solve(fire, A, u, f, prec_sor);
 
           deallog.pop();
@@ -240,6 +250,7 @@ main()
           check_solve(bicgstab, A, u, f, prec_psor);
           check_solve(gmres, A, u, f, prec_psor);
           check_solve(gmresright, A, u, f, prec_psor);
+          check_solve(gmresclassical, A, u, f, prec_psor);
           check_solve(fire, A, u, f, prec_psor);
 
           deallog.pop();

diff --git a/tests/lac/solver.output b/tests/lac/solver.output
index cacd06ee370ce1c3e214acecebbcef55164dfd8b..653812ce53b78a127b6ce3ccbab61d699f543fe9 100644 (file)
--- a/tests/lac/solver.output
+++ b/tests/lac/solver.output
@@ -2,43 +2,49 @@
 DEAL::Size 4 Unknowns 9
 DEAL::SOR-diff:0.000
 DEAL:no-fail:cg::Starting value 3.000
-DEAL:no-fail:cg::Convergence step 3 value 5.917e-17
+DEAL:no-fail:cg::Convergence step 3 value 4.807e-17
 DEAL:no-fail:Bicgstab::Starting value 3.000
-DEAL:no-fail:Bicgstab::Convergence step 3 value 4.768e-18
+DEAL:no-fail:Bicgstab::Convergence step 3 value 1.104e-17
 DEAL:no-fail:GMRES::Starting value 3.000
-DEAL:no-fail:GMRES::Convergence step 3 value 6.160e-16
+DEAL:no-fail:GMRES::Convergence step 3 value 4.551e-16
 DEAL:no-fail:GMRES::Starting value 3.000
-DEAL:no-fail:GMRES::Convergence step 3 value 6.160e-16
+DEAL:no-fail:GMRES::Convergence step 3 value 4.551e-16
+DEAL:no-fail:GMRES::Starting value 3.000
+DEAL:no-fail:GMRES::Convergence step 3 value 4.414e-16
 DEAL:no-fail:SQMR::Starting value 3.000
-DEAL:no-fail:SQMR::Convergence step 3 value 9.088e-16
+DEAL:no-fail:SQMR::Convergence step 3 value 1.280e-15
 DEAL:no-fail:FIRE::Starting value 9.000
 DEAL:no-fail:FIRE::Convergence step 38 value 0.0002184
 DEAL:no:Richardson::Starting value 3.000
 DEAL:no:Richardson::Convergence step 24 value 0.0007118
 DEAL:no:cg::Starting value 3.000
-DEAL:no:cg::Convergence step 3 value 5.917e-17
+DEAL:no:cg::Convergence step 3 value 4.807e-17
 DEAL:no:Bicgstab::Starting value 3.000
-DEAL:no:Bicgstab::Convergence step 3 value 4.768e-18
+DEAL:no:Bicgstab::Convergence step 3 value 1.104e-17
+DEAL:no:GMRES::Starting value 3.000
+DEAL:no:GMRES::Convergence step 3 value 4.551e-16
 DEAL:no:GMRES::Starting value 3.000
-DEAL:no:GMRES::Convergence step 3 value 6.160e-16
+DEAL:no:GMRES::Convergence step 3 value 4.551e-16
 DEAL:no:GMRES::Starting value 3.000
-DEAL:no:GMRES::Convergence step 3 value 6.160e-16
+DEAL:no:GMRES::Convergence step 3 value 4.414e-16
 DEAL:no:SQMR::Starting value 3.000
-DEAL:no:SQMR::Convergence step 3 value 9.088e-16
+DEAL:no:SQMR::Convergence step 3 value 1.280e-15
 DEAL:no:FIRE::Starting value 9.000
 DEAL:no:FIRE::Convergence step 38 value 0.0002184
 DEAL:rich:Richardson::Starting value 3.000
 DEAL:rich:Richardson::Convergence step 42 value 0.0008696
 DEAL:rich:cg::Starting value 3.000
-DEAL:rich:cg::Convergence step 3 value 2.009e-16
+DEAL:rich:cg::Convergence step 3 value 2.871e-16
 DEAL:rich:Bicgstab::Starting value 3.000
-DEAL:rich:Bicgstab::Convergence step 3 value 1.708e-17
+DEAL:rich:Bicgstab::Convergence step 3 value 3.238e-18
 DEAL:rich:GMRES::Starting value 1.800
-DEAL:rich:GMRES::Convergence step 3 value 2.927e-16
+DEAL:rich:GMRES::Convergence step 3 value 3.294e-16
 DEAL:rich:GMRES::Starting value 3.000
-DEAL:rich:GMRES::Convergence step 3 value 6.449e-16
+DEAL:rich:GMRES::Convergence step 3 value 7.148e-16
+DEAL:rich:GMRES::Starting value 1.800
+DEAL:rich:GMRES::Convergence step 3 value 1.934e-16
 DEAL:rich:SQMR::Starting value 3.000
-DEAL:rich:SQMR::Convergence step 3 value 1.351e-15
+DEAL:rich:SQMR::Convergence step 3 value 1.422e-15
 DEAL:rich:FIRE::Starting value 9.000
 DEAL:rich:FIRE::Convergence step 32 value 0.0009708
 DEAL:ssor:RichardsonT::Starting value 3.000
@@ -53,6 +59,8 @@ DEAL:ssor:GMRES::Starting value 1.920
 DEAL:ssor:GMRES::Convergence step 3 value 0.0003574
 DEAL:ssor:GMRES::Starting value 3.000
 DEAL:ssor:GMRES::Convergence step 4 value 5.994e-05
+DEAL:ssor:GMRES::Starting value 1.920
+DEAL:ssor:GMRES::Convergence step 3 value 0.0003574
 DEAL:ssor:SQMR::Starting value 3.000
 DEAL:ssor:SQMR::Convergence step 4 value 0.0001345
 DEAL:ssor:FIRE::Starting value 9.000
@@ -65,11 +73,13 @@ DEAL:sor:cg::Starting value 3.000
 DEAL:sor:cg::Failure step 100 value 0.2585
 DEAL:sor::Exception: SolverControl::NoConvergence(it, worker.residual_norm)
 DEAL:sor:Bicgstab::Starting value 3.000
-DEAL:sor:Bicgstab::Convergence step 5 value 4.201e-18
+DEAL:sor:Bicgstab::Convergence step 5 value 4.331e-18
 DEAL:sor:GMRES::Starting value 1.462
-DEAL:sor:GMRES::Convergence step 5 value 2.605e-18
+DEAL:sor:GMRES::Convergence step 5 value 9.441e-19
 DEAL:sor:GMRES::Starting value 3.000
-DEAL:sor:GMRES::Convergence step 5 value 5.190e-18
+DEAL:sor:GMRES::Convergence step 5 value 1.393e-17
+DEAL:sor:GMRES::Starting value 1.462
+DEAL:sor:GMRES::Convergence step 21 value 0.0007019
 DEAL:sor:FIRE::Starting value 9.000
 DEAL:sor:FIRE::Convergence step 51 value 0.0004993
 DEAL:psor:RichardsonT::Starting value 3.000
@@ -85,6 +95,8 @@ DEAL:psor:GMRES::Starting value 1.467
 DEAL:psor:GMRES::Convergence step 5 value 0.0006649
 DEAL:psor:GMRES::Starting value 3.000
 DEAL:psor:GMRES::Convergence step 6 value 0.0004455
+DEAL:psor:GMRES::Starting value 1.467
+DEAL:psor:GMRES::Convergence step 5 value 0.0006649
 DEAL:psor:FIRE::Starting value 9.000
 DEAL:psor:FIRE::Convergence step 45 value 0.0009217
 DEAL::Size 12 Unknowns 121
@@ -102,6 +114,9 @@ DEAL:no-fail::Exception: SolverControl::NoConvergence(accumulated_iterations, la
 DEAL:no-fail:GMRES::Starting value 11.00
 DEAL:no-fail:GMRES::Failure step 10 value 0.8414
 DEAL:no-fail::Exception: SolverControl::NoConvergence(accumulated_iterations, last_res)
+DEAL:no-fail:GMRES::Starting value 11.00
+DEAL:no-fail:GMRES::Failure step 10 value 0.8414
+DEAL:no-fail::Exception: SolverControl::NoConvergence(accumulated_iterations, last_res)
 DEAL:no-fail:SQMR::Starting value 11.00
 DEAL:no-fail:SQMR::Failure step 10 value 0.4215
 DEAL:no-fail::Exception: SolverControl::NoConvergence(step, state.last_residual)
@@ -119,6 +134,8 @@ DEAL:no:GMRES::Starting value 11.00
 DEAL:no:GMRES::Convergence step 43 value 0.0009788
 DEAL:no:GMRES::Starting value 11.00
 DEAL:no:GMRES::Convergence step 43 value 0.0009788
+DEAL:no:GMRES::Starting value 11.00
+DEAL:no:GMRES::Convergence step 43 value 0.0009788
 DEAL:no:SQMR::Starting value 11.00
 DEAL:no:SQMR::Convergence step 16 value 0.0002583
 DEAL:no:FIRE::Starting value 121.0
@@ -135,6 +152,8 @@ DEAL:rich:GMRES::Starting value 6.600
 DEAL:rich:GMRES::Convergence step 42 value 0.0007803
 DEAL:rich:GMRES::Starting value 11.00
 DEAL:rich:GMRES::Convergence step 43 value 0.0009788
+DEAL:rich:GMRES::Starting value 6.600
+DEAL:rich:GMRES::Convergence step 42 value 0.0007803
 DEAL:rich:SQMR::Starting value 11.00
 DEAL:rich:SQMR::Convergence step 16 value 0.0002583
 DEAL:rich:FIRE::Starting value 121.0
@@ -151,6 +170,8 @@ DEAL:ssor:GMRES::Starting value 13.27
 DEAL:ssor:GMRES::Convergence step 7 value 0.0008206
 DEAL:ssor:GMRES::Starting value 11.00
 DEAL:ssor:GMRES::Convergence step 8 value 0.0004929
+DEAL:ssor:GMRES::Starting value 13.27
+DEAL:ssor:GMRES::Convergence step 7 value 0.0008206
 DEAL:ssor:SQMR::Starting value 11.00
 DEAL:ssor:SQMR::Convergence step 9 value 0.0004140
 DEAL:ssor:FIRE::Starting value 121.0
@@ -168,6 +189,8 @@ DEAL:sor:GMRES::Starting value 7.322
 DEAL:sor:GMRES::Convergence step 23 value 0.0006981
 DEAL:sor:GMRES::Starting value 11.00
 DEAL:sor:GMRES::Convergence step 24 value 0.0007120
+DEAL:sor:GMRES::Starting value 7.322
+DEAL:sor:GMRES::Convergence step 23 value 0.0006981
 DEAL:sor:FIRE::Starting value 121.0
 DEAL:sor:FIRE::Convergence step 92 value 0.0009080
 DEAL:psor:RichardsonT::Starting value 11.00
@@ -183,5 +206,7 @@ DEAL:psor:GMRES::Starting value 7.345
 DEAL:psor:GMRES::Convergence step 20 value 0.0008491
 DEAL:psor:GMRES::Starting value 11.00
 DEAL:psor:GMRES::Convergence step 23 value 0.0007600
+DEAL:psor:GMRES::Starting value 7.345
+DEAL:psor:GMRES::Convergence step 20 value 0.0008491
 DEAL:psor:FIRE::Starting value 121.0
 DEAL:psor:FIRE::Convergence step 93 value 0.0006976

diff --git a/tests/lac/solver_gmres_01.cc b/tests/lac/solver_gmres_01.cc
new file mode 100644 (file)
index 0000000..5869820
--- /dev/null
+++ b/tests/lac/solver_gmres_01.cc
@@ -0,0 +1,92 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2022 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 the path of SolverGMRES with distributed vectors and
+// OrthogonalizationStrategy::classical_gram_schmidt.
+
+
+#include <deal.II/lac/diagonal_matrix.h>
+#include <deal.II/lac/la_parallel_vector.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/lac/solver_gmres.h>
+
+#include "../tests.h"
+
+
+struct MyDiagonalMatrix
+{
+  MyDiagonalMatrix(const LinearAlgebra::distributed::Vector<double> &diagonal)
+    : diagonal(diagonal)
+  {}
+
+  void
+  vmult(LinearAlgebra::distributed::Vector<double> &      dst,
+        const LinearAlgebra::distributed::Vector<double> &src) const
+  {
+    dst = src;
+    dst.scale(diagonal);
+  }
+
+  const LinearAlgebra::distributed::Vector<double> &diagonal;
+};
+
+
+
+SolverControl::State
+monitor_norm(const unsigned int iteration,
+             const double       check_value,
+             const LinearAlgebra::distributed::Vector<double> &)
+{
+  deallog << "   estimated residual at iteration " << iteration << ": "
+          << check_value << std::endl;
+  return SolverControl::success;
+}
+
+
+int
+main()
+{
+  initlog();
+
+  // Create diagonal matrix with entries between 1 and 30
+  DiagonalMatrix<LinearAlgebra::distributed::Vector<double>> unit_matrix;
+  unit_matrix.get_vector().reinit(30);
+  unit_matrix.get_vector() = 1.0;
+
+  LinearAlgebra::distributed::Vector<double> matrix_entries(unit_matrix.m());
+  for (unsigned int i = 0; i < unit_matrix.m(); ++i)
+    matrix_entries(i) = i + 1;
+  MyDiagonalMatrix matrix(matrix_entries);
+
+  LinearAlgebra::distributed::Vector<double> rhs(unit_matrix.m()),
+    sol(unit_matrix.m());
+  rhs = 1.;
+
+  deallog << "Solve with PreconditionIdentity: " << std::endl;
+  SolverControl control(40, 1e-4);
+  SolverGMRES<LinearAlgebra::distributed::Vector<double>>::AdditionalData data3(
+    8);
+  data3.orthogonalization_strategy =
+    SolverGMRES<LinearAlgebra::distributed::Vector<double>>::AdditionalData::
+      OrthogonalizationStrategy::classical_gram_schmidt;
+  SolverGMRES<LinearAlgebra::distributed::Vector<double>> solver(control,
+                                                                 data3);
+  solver.connect(&monitor_norm);
+  solver.solve(matrix, sol, rhs, PreconditionIdentity());
+
+  deallog << "Solve with diagonal preconditioner: " << std::endl;
+  sol = 0;
+  solver.solve(matrix, sol, rhs, unit_matrix);
+}

diff --git a/tests/lac/solver_gmres_01.output b/tests/lac/solver_gmres_01.output
new file mode 100644 (file)
index 0000000..fcf6589
--- /dev/null
+++ b/tests/lac/solver_gmres_01.output
@@ -0,0 +1,89 @@
+
+DEAL::Solve with PreconditionIdentity: 
+DEAL:GMRES::Starting value 5.47723
+DEAL:GMRES::   estimated residual at iteration 0: 5.47723
+DEAL:GMRES::   estimated residual at iteration 1: 2.67042
+DEAL:GMRES::   estimated residual at iteration 2: 1.70538
+DEAL:GMRES::   estimated residual at iteration 3: 1.20190
+DEAL:GMRES::   estimated residual at iteration 4: 0.884567
+DEAL:GMRES::   estimated residual at iteration 5: 0.662215
+DEAL:GMRES::   estimated residual at iteration 6: 0.496462
+DEAL:GMRES::   estimated residual at iteration 6: 0.496462
+DEAL:GMRES::   estimated residual at iteration 7: 0.419909
+DEAL:GMRES::   estimated residual at iteration 8: 0.339229
+DEAL:GMRES::   estimated residual at iteration 9: 0.260767
+DEAL:GMRES::   estimated residual at iteration 10: 0.189115
+DEAL:GMRES::   estimated residual at iteration 11: 0.126467
+DEAL:GMRES::   estimated residual at iteration 12: 0.0736025
+DEAL:GMRES::   estimated residual at iteration 12: 0.0736025
+DEAL:GMRES::   estimated residual at iteration 13: 0.0505275
+DEAL:GMRES::   estimated residual at iteration 14: 0.0360998
+DEAL:GMRES::   estimated residual at iteration 15: 0.0253697
+DEAL:GMRES::   estimated residual at iteration 16: 0.0184200
+DEAL:GMRES::   estimated residual at iteration 17: 0.0142333
+DEAL:GMRES::   estimated residual at iteration 18: 0.0116662
+DEAL:GMRES::   estimated residual at iteration 18: 0.0116662
+DEAL:GMRES::   estimated residual at iteration 19: 0.00989870
+DEAL:GMRES::   estimated residual at iteration 20: 0.00800703
+DEAL:GMRES::   estimated residual at iteration 21: 0.00604107
+DEAL:GMRES::   estimated residual at iteration 22: 0.00431736
+DEAL:GMRES::   estimated residual at iteration 23: 0.00304828
+DEAL:GMRES::   estimated residual at iteration 24: 0.00203679
+DEAL:GMRES::   estimated residual at iteration 24: 0.00203679
+DEAL:GMRES::   estimated residual at iteration 25: 0.00141669
+DEAL:GMRES::   estimated residual at iteration 26: 0.00101755
+DEAL:GMRES::   estimated residual at iteration 27: 0.000724887
+DEAL:GMRES::   estimated residual at iteration 28: 0.000535249
+DEAL:GMRES::   estimated residual at iteration 29: 0.000423665
+DEAL:GMRES::   estimated residual at iteration 30: 0.000358414
+DEAL:GMRES::   estimated residual at iteration 30: 0.000358414
+DEAL:GMRES::   estimated residual at iteration 31: 0.000307521
+DEAL:GMRES::   estimated residual at iteration 32: 0.000247031
+DEAL:GMRES::   estimated residual at iteration 33: 0.000183614
+DEAL:GMRES::   estimated residual at iteration 34: 0.000129847
+DEAL:GMRES::Convergence step 35 value 9.20930e-05
+DEAL:GMRES::   estimated residual at iteration 35: 9.20930e-05
+DEAL::Solve with diagonal preconditioner: 
+DEAL:GMRES::Starting value 5.47723
+DEAL:GMRES::   estimated residual at iteration 0: 5.47723
+DEAL:GMRES::   estimated residual at iteration 1: 2.67042
+DEAL:GMRES::   estimated residual at iteration 2: 1.70538
+DEAL:GMRES::   estimated residual at iteration 3: 1.20190
+DEAL:GMRES::   estimated residual at iteration 4: 0.884567
+DEAL:GMRES::   estimated residual at iteration 5: 0.662215
+DEAL:GMRES::   estimated residual at iteration 6: 0.496462
+DEAL:GMRES::   estimated residual at iteration 6: 0.496462
+DEAL:GMRES::   estimated residual at iteration 7: 0.419909
+DEAL:GMRES::   estimated residual at iteration 8: 0.339229
+DEAL:GMRES::   estimated residual at iteration 9: 0.260767
+DEAL:GMRES::   estimated residual at iteration 10: 0.189115
+DEAL:GMRES::   estimated residual at iteration 11: 0.126467
+DEAL:GMRES::   estimated residual at iteration 12: 0.0736025
+DEAL:GMRES::   estimated residual at iteration 12: 0.0736025
+DEAL:GMRES::   estimated residual at iteration 13: 0.0505275
+DEAL:GMRES::   estimated residual at iteration 14: 0.0360998
+DEAL:GMRES::   estimated residual at iteration 15: 0.0253697
+DEAL:GMRES::   estimated residual at iteration 16: 0.0184200
+DEAL:GMRES::   estimated residual at iteration 17: 0.0142333
+DEAL:GMRES::   estimated residual at iteration 18: 0.0116662
+DEAL:GMRES::   estimated residual at iteration 18: 0.0116662
+DEAL:GMRES::   estimated residual at iteration 19: 0.00989870
+DEAL:GMRES::   estimated residual at iteration 20: 0.00800703
+DEAL:GMRES::   estimated residual at iteration 21: 0.00604107
+DEAL:GMRES::   estimated residual at iteration 22: 0.00431736
+DEAL:GMRES::   estimated residual at iteration 23: 0.00304828
+DEAL:GMRES::   estimated residual at iteration 24: 0.00203679
+DEAL:GMRES::   estimated residual at iteration 24: 0.00203679
+DEAL:GMRES::   estimated residual at iteration 25: 0.00141669
+DEAL:GMRES::   estimated residual at iteration 26: 0.00101755
+DEAL:GMRES::   estimated residual at iteration 27: 0.000724887
+DEAL:GMRES::   estimated residual at iteration 28: 0.000535249
+DEAL:GMRES::   estimated residual at iteration 29: 0.000423665
+DEAL:GMRES::   estimated residual at iteration 30: 0.000358414
+DEAL:GMRES::   estimated residual at iteration 30: 0.000358414
+DEAL:GMRES::   estimated residual at iteration 31: 0.000307521
+DEAL:GMRES::   estimated residual at iteration 32: 0.000247031
+DEAL:GMRES::   estimated residual at iteration 33: 0.000183614
+DEAL:GMRES::   estimated residual at iteration 34: 0.000129847
+DEAL:GMRES::Convergence step 35 value 9.20930e-05
+DEAL:GMRES::   estimated residual at iteration 35: 9.20930e-05