Template Numerical Library: TNL::Solvers::IterativeSolverMonitor< Real

Object for monitoring convergence of iterative solvers. More...

#include <TNL/Solvers/IterativeSolverMonitor.h>

Inheritance diagram for TNL::Solvers::IterativeSolverMonitor< Real >:

Collaboration diagram for TNL::Solvers::IterativeSolverMonitor< Real >:

Public Types
using	IndexType = std::size_t
	A type for indexing.
using	RealType = Real
	A type of the floating-point arithmetics.

Public Member Functions
	IterativeSolverMonitor ()=default
	Construct with no parameters.
void	refresh () override
	Causes that the monitor prints out the status of the solver.
void	setIterations (const IndexType &iterations)
	Set number of the current iteration.
void	setNodesPerIteration (const IndexType &nodes)
	Set the number of nodes of the numerical mesh or lattice.
void	setResidue (const RealType &residue)
	Set residue of the current approximation of the solution.
void	setStage (const std::string &stage)
	This method can be used for naming a stage of the monitored solver.
void	setTime (const RealType &time)
	Set the time of the simulated evolution if it is time dependent.
void	setTimeStep (const RealType &timeStep)
	Set the time step for time dependent iterative solvers.
void	setVerbose (const IndexType &verbose)
	Set up the verbosity of the monitor.
Public Member Functions inherited from TNL::Solvers::SolverMonitor
	SolverMonitor ()=default
	Basic construct with no arguments.
bool	isStopped () const
	Checks whether the main loop was stopped.
void	runMainLoop ()
	Starts the main loop from which the method SolverMonitor::refresh is called in given time periods.
void	setRefreshRate (const int &refreshRate)
	Set the time interval between two consecutive calls of SolverMonitor::refresh.
void	setTimer (Timer &timer)
	Set a timer object for the solver monitor.
void	stopMainLoop ()
	Stops the main loop of the monitor. See runMainLoop.
void	unsetTimer ()
	Unsets the timer object for the solver monitor.

Protected Member Functions
int	getLineWidth ()
Protected Member Functions inherited from TNL::Solvers::SolverMonitor
double	getElapsedTime ()

Protected Attributes
std::atomic_bool	attributes_changed { false }
RealType	elapsed_time_before_refresh = 0
IndexType	iterations = 0
IndexType	iterations_before_refresh = 0
RealType	last_mlups = 0
IndexType	nodesPerIteration = 0
RealType	residue = 0
std::atomic_bool	saved { false }
IndexType	saved_iterations = 0
RealType	saved_residue = 0
std::string	saved_stage
RealType	saved_time = 0
RealType	saved_timeStep = 0
std::string	stage
RealType	time = 0
RealType	timeStep = 0
IndexType	verbose = 2
Protected Attributes inherited from TNL::Solvers::SolverMonitor
std::atomic_bool	started { false }
std::atomic_bool	stopped { false }
std::atomic_int	timeout_milliseconds { 500 }
Timer *	timer = nullptr

Detailed Description

template<typename Real = double>
class TNL::Solvers::IterativeSolverMonitor< Real >

Object for monitoring convergence of iterative solvers.

Template Parameters

Real	is a type of the floating-point arithmetics.
Index	is an indexing type.

The following example shows how to use the iterative solver monitor for monitoring convergence of linear iterative solver:

#include <iostream>
#include <memory>
#include <TNL/Matrices/SparseMatrix.h>
#include <TNL/Devices/Sequential.h>
#include <TNL/Devices/Cuda.h>
#include <TNL/Solvers/Linear/Jacobi.h>
 
template< typename Device >
void
iterativeLinearSolverExample()
{
   /***
    * Set the following matrix (dots represent zero matrix elements):
    *
    *   /  2.5 -1    .    .    .   \
    *   | -1    2.5 -1    .    .   |
    *   |  .   -1    2.5 -1.   .   |
    *   |  .    .   -1    2.5 -1   |
    *   \  .    .    .   -1    2.5 /
    */
   using MatrixType = TNL::Matrices::SparseMatrix< double, Device >;
   using Vector = TNL::Containers::Vector< double, Device >;
   const int size( 5 );
   auto matrix_ptr = std::make_shared< MatrixType >();
   matrix_ptr->setDimensions( size, size );
   matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
 
   auto f = [ = ] __cuda_callable__( typename MatrixType::RowView & row ) mutable
   {
      const int rowIdx = row.getRowIndex();
      if( rowIdx == 0 ) {
         row.setElement( 0, rowIdx, 2.5 );     // diagonal element
         row.setElement( 1, rowIdx + 1, -1 );  // element above the diagonal
      }
      else if( rowIdx == size - 1 ) {
         row.setElement( 0, rowIdx - 1, -1.0 );  // element below the diagonal
         row.setElement( 1, rowIdx, 2.5 );       // diagonal element
      }
      else {
         row.setElement( 0, rowIdx - 1, -1.0 );  // element below the diagonal
         row.setElement( 1, rowIdx, 2.5 );       // diagonal element
         row.setElement( 2, rowIdx + 1, -1.0 );  // element above the diagonal
      }
   };
 
   /***
    * Set the matrix elements.
    */
   matrix_ptr->forAllRows( f );
   std::cout << *matrix_ptr << '\n';
 
   /***
    * Set the right-hand side vector.
    */
   Vector x( size, 1.0 );
   Vector b( size );
   matrix_ptr->vectorProduct( x, b );
   x = 0.0;
   std::cout << "Vector b = " << b << '\n';
 
   /***
    * Setup solver of the linear system.
    */
   using LinearSolver = TNL::Solvers::Linear::Jacobi< MatrixType >;
   LinearSolver solver;
   solver.setMatrix( matrix_ptr );
   solver.setOmega( 0.0005 );
 
   /***
    * Setup monitor of the iterative solver.
    */
   using IterativeSolverMonitorType = TNL::Solvers::IterativeSolverMonitor< double >;
   IterativeSolverMonitorType monitor;
   TNL::Solvers::SolverMonitorThread monitorThread( monitor );
   monitor.setRefreshRate( 10 );  // refresh rate in milliseconds
   monitor.setVerbose( 1 );
   monitor.setStage( "Jacobi stage:" );
   solver.setSolverMonitor( monitor );
   solver.setConvergenceResidue( 1.0e-6 );
   solver.solve( b, x );
   monitor.stopMainLoop();
   std::cout << "Vector x = " << x << '\n';
}
 
int
main( int argc, char* argv[] )
{
   std::cout << "Solving linear system on host:\n";
   iterativeLinearSolverExample< TNL::Devices::Sequential >();
 
#ifdef __CUDACC__
   std::cout << "Solving linear system on CUDA device:\n";
   iterativeLinearSolverExample< TNL::Devices::Cuda >();
#endif
}

The result looks as follows:

Solving linear system on host:
Row: 0 ->     0:2.5     1:-1  
Row: 1 ->     0:-1      1:2.5     2:-1  
Row: 2 ->     1:-1      2:2.5     3:-1  
Row: 3 ->     2:-1      3:2.5     4:-1  
Row: 4 ->     3:-1      4:2.5 
 
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
 
  Jacobi stage: ITER:   79741 RES:  3.4619e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]
Solving linear system on CUDA device:
Row: 0 ->     0:2.5     1:-1  
Row: 1 ->     0:-1      1:2.5     2:-1  
Row: 2 ->     1:-1      2:2.5     3:-1  
Row: 3 ->     2:-1      3:2.5     4:-1  
Row: 4 ->     3:-1      4:2.5 
 
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
 
  Jacobi stage: ITER:    7339 RES:     0.23458
  Jacobi stage: ITER:   15003 RES:    0.072114
  Jacobi stage: ITER:   21987 RES:    0.024667
  Jacobi stage: ITER:   22579 RES:    0.022523
  Jacobi stage: ITER:   22987 RES:    0.021155
  Jacobi stage: ITER:   23407 RES:    0.019833
  Jacobi stage: ITER:   23819 RES:    0.018617
  Jacobi stage: ITER:   24211 RES:    0.017529
  Jacobi stage: ITER:   24609 RES:    0.016485
  Jacobi stage: ITER:   25027 RES:    0.015464
  Jacobi stage: ITER:   25437 RES:    0.014516
  Jacobi stage: ITER:   25847 RES:    0.013634
  Jacobi stage: ITER:   26255 RES:    0.012806
  Jacobi stage: ITER:   26663 RES:    0.012028
  Jacobi stage: ITER:   27071 RES:    0.011297
  Jacobi stage: ITER:   27491 RES:    0.010592
  Jacobi stage: ITER:   27903 RES:   0.0099421
  Jacobi stage: ITER:   28295 RES:   0.0093611
  Jacobi stage: ITER:   28675 RES:   0.0088304
  Jacobi stage: ITER:   29081 RES:   0.0082939
  Jacobi stage: ITER:   29499 RES:   0.0077806
  Jacobi stage: ITER:   29909 RES:   0.0073034
  Jacobi stage: ITER:   30109 RES:   0.0070825
  Jacobi stage: ITER:   30289 RES:   0.0068893
  Jacobi stage: ITER:   30469 RES:   0.0067015
  Jacobi stage: ITER:   30649 RES:   0.0065187
  Jacobi stage: ITER:   30827 RES:   0.0063449
  Jacobi stage: ITER:   31007 RES:   0.0061718
  Jacobi stage: ITER:   31183 RES:   0.0060072
  Jacobi stage: ITER:   31365 RES:   0.0058398
  Jacobi stage: ITER:   31539 RES:   0.0056876
  Jacobi stage: ITER:   31719 RES:   0.0055325
  Jacobi stage: ITER:   31899 RES:   0.0053816
  Jacobi stage: ITER:   32081 RES:   0.0052316
  Jacobi stage: ITER:   32351 RES:   0.0050206
  Jacobi stage: ITER:   32753 RES:   0.0047185
  Jacobi stage: ITER:   33165 RES:   0.0044292
  Jacobi stage: ITER:   33569 RES:   0.0041627
  Jacobi stage: ITER:   33989 RES:   0.0039026
  Jacobi stage: ITER:   34401 RES:   0.0036633
  Jacobi stage: ITER:   34795 RES:   0.0034492
  Jacobi stage: ITER:   35175 RES:   0.0032537
  Jacobi stage: ITER:   35561 RES:   0.0030654
  Jacobi stage: ITER:   35947 RES:   0.0028898
  Jacobi stage: ITER:   36331 RES:   0.0027243
  Jacobi stage: ITER:   36719 RES:   0.0025667
  Jacobi stage: ITER:   37103 RES:   0.0024197
  Jacobi stage: ITER:   37489 RES:   0.0022797
  Jacobi stage: ITER:   37875 RES:   0.0021491
  Jacobi stage: ITER:   38259 RES:    0.002026
  Jacobi stage: ITER:   38645 RES:   0.0019088
  Jacobi stage: ITER:   39031 RES:   0.0017995
  Jacobi stage: ITER:   39415 RES:   0.0016964
  Jacobi stage: ITER:   39801 RES:   0.0015983
  Jacobi stage: ITER:   40187 RES:   0.0015067
  Jacobi stage: ITER:   40571 RES:   0.0014204
  Jacobi stage: ITER:   40959 RES:   0.0013382
  Jacobi stage: ITER:   41343 RES:   0.0012616
  Jacobi stage: ITER:   41729 RES:   0.0011886
  Jacobi stage: ITER:   42115 RES:   0.0011205
  Jacobi stage: ITER:   42499 RES:   0.0010563
  Jacobi stage: ITER:   42885 RES:  0.00099522
  Jacobi stage: ITER:   43271 RES:  0.00093822
  Jacobi stage: ITER:   43655 RES:  0.00088448
  Jacobi stage: ITER:   44041 RES:  0.00083331
  Jacobi stage: ITER:   44427 RES:  0.00078558
  Jacobi stage: ITER:   44811 RES:  0.00074058
  Jacobi stage: ITER:   45197 RES:  0.00069773
  Jacobi stage: ITER:   45583 RES:  0.00065777
  Jacobi stage: ITER:   45967 RES:  0.00062009
  Jacobi stage: ITER:   46353 RES:  0.00058422
  Jacobi stage: ITER:   46739 RES:  0.00055076
  Jacobi stage: ITER:   47123 RES:  0.00051921
  Jacobi stage: ITER:   47509 RES:  0.00048917
  Jacobi stage: ITER:   47895 RES:  0.00046115
  Jacobi stage: ITER:   48279 RES:  0.00043474
  Jacobi stage: ITER:   48665 RES:  0.00040959
  Jacobi stage: ITER:   49051 RES:  0.00038613
  Jacobi stage: ITER:   49435 RES:  0.00036401
  Jacobi stage: ITER:   49821 RES:  0.00034295
  Jacobi stage: ITER:   50207 RES:  0.00032331
  Jacobi stage: ITER:   50591 RES:  0.00030479
  Jacobi stage: ITER:   50977 RES:  0.00028715
  Jacobi stage: ITER:   51363 RES:  0.00027071
  Jacobi stage: ITER:   51747 RES:   0.0002552
  Jacobi stage: ITER:   52133 RES:  0.00024044
  Jacobi stage: ITER:   52519 RES:  0.00022666
  Jacobi stage: ITER:   52903 RES:  0.00021368
  Jacobi stage: ITER:   53289 RES:  0.00020132
  Jacobi stage: ITER:   53675 RES:  0.00018979
  Jacobi stage: ITER:   54059 RES:  0.00017892
  Jacobi stage: ITER:   54445 RES:  0.00016857
  Jacobi stage: ITER:   54831 RES:  0.00015891
  Jacobi stage: ITER:   55215 RES:  0.00014981
  Jacobi stage: ITER:   55601 RES:  0.00014114
  Jacobi stage: ITER:   55987 RES:  0.00013306
  Jacobi stage: ITER:   56373 RES:  0.00012536
  Jacobi stage: ITER:   56759 RES:  0.00011818
  Jacobi stage: ITER:   57143 RES:  0.00011141
  Jacobi stage: ITER:   57529 RES:  0.00010496
  Jacobi stage: ITER:   57915 RES:  9.8952e-05
  Jacobi stage: ITER:   58299 RES:  9.3285e-05
  Jacobi stage: ITER:   58685 RES:  8.7888e-05
  Jacobi stage: ITER:   59071 RES:  8.2854e-05
  Jacobi stage: ITER:   59455 RES:  7.8108e-05
  Jacobi stage: ITER:   59843 RES:  7.3589e-05
  Jacobi stage: ITER:   60227 RES:  6.9374e-05
  Jacobi stage: ITER:   60613 RES:   6.536e-05
  Jacobi stage: ITER:   60999 RES:  6.1617e-05
  Jacobi stage: ITER:   61383 RES:  5.8087e-05
  Jacobi stage: ITER:   61769 RES:  5.4727e-05
  Jacobi stage: ITER:   62155 RES:  5.1592e-05
  Jacobi stage: ITER:   62539 RES:  4.8637e-05
  Jacobi stage: ITER:   62927 RES:  4.5823e-05
  Jacobi stage: ITER:   63311 RES:  4.3198e-05
  Jacobi stage: ITER:   63697 RES:  4.0699e-05
  Jacobi stage: ITER:   64083 RES:  3.8368e-05
  Jacobi stage: ITER:   64467 RES:   3.617e-05
  Jacobi stage: ITER:   64855 RES:  3.4078e-05
  Jacobi stage: ITER:   65239 RES:  3.2126e-05
  Jacobi stage: ITER:   65625 RES:  3.0267e-05
  Jacobi stage: ITER:   66011 RES:  2.8534e-05
  Jacobi stage: ITER:   66395 RES:  2.6899e-05
  Jacobi stage: ITER:   66781 RES:  2.5343e-05
  Jacobi stage: ITER:   67167 RES:  2.3891e-05
  Jacobi stage: ITER:   67551 RES:  2.2523e-05
  Jacobi stage: ITER:   67937 RES:   2.122e-05
  Jacobi stage: ITER:   68323 RES:  2.0004e-05
  Jacobi stage: ITER:   68709 RES:  1.8847e-05
  Jacobi stage: ITER:   69095 RES:  1.7768e-05
  Jacobi stage: ITER:   69479 RES:   1.675e-05
  Jacobi stage: ITER:   69865 RES:  1.5781e-05
  Jacobi stage: ITER:   70251 RES:  1.4877e-05
  Jacobi stage: ITER:   70635 RES:  1.4025e-05
  Jacobi stage: ITER:   71021 RES:  1.3213e-05
  Jacobi stage: ITER:   71407 RES:  1.2457e-05
  Jacobi stage: ITER:   71791 RES:  1.1743e-05
  Jacobi stage: ITER:   72179 RES:  1.1064e-05
  Jacobi stage: ITER:   72563 RES:   1.043e-05
  Jacobi stage: ITER:   72949 RES:  9.8265e-06
  Jacobi stage: ITER:   73335 RES:  9.2637e-06
  Jacobi stage: ITER:   73719 RES:  8.7331e-06
  Jacobi stage: ITER:   74105 RES:  8.2278e-06
  Jacobi stage: ITER:   74491 RES:  7.7566e-06
  Jacobi stage: ITER:   74877 RES:  7.3078e-06
  Jacobi stage: ITER:   75263 RES:  6.8892e-06
  Jacobi stage: ITER:   75647 RES:  6.4946e-06
  Jacobi stage: ITER:   76033 RES:  6.1189e-06
  Jacobi stage: ITER:   76419 RES:  5.7684e-06
  Jacobi stage: ITER:   76803 RES:   5.438e-06
  Jacobi stage: ITER:   77189 RES:  5.1234e-06
  Jacobi stage: ITER:   77575 RES:  4.8299e-06
  Jacobi stage: ITER:   77961 RES:  4.5505e-06
  Jacobi stage: ITER:   78347 RES:  4.2898e-06
  Jacobi stage: ITER:   78731 RES:  4.0441e-06
  Jacobi stage: ITER:   79119 RES:  3.8102e-06
  Jacobi stage: ITER:   79503 RES:  3.5919e-06
  Jacobi stage: ITER:   79889 RES:  3.3841e-06
  Jacobi stage: ITER:   80275 RES:  3.1903e-06
  Jacobi stage: ITER:   80659 RES:  3.0075e-06
  Jacobi stage: ITER:   81045 RES:  2.8335e-06
  Jacobi stage: ITER:   81431 RES:  2.6712e-06
  Jacobi stage: ITER:   81817 RES:  2.5167e-06
  Jacobi stage: ITER:   82721 RES:  2.1904e-06
  Jacobi stage: ITER:   83107 RES:   2.065e-06
  Jacobi stage: ITER:   83491 RES:  1.9467e-06
  Jacobi stage: ITER:   83877 RES:   1.834e-06
  Jacobi stage: ITER:   84263 RES:   1.729e-06
  Jacobi stage: ITER:   84647 RES:    1.63e-06
  Jacobi stage: ITER:   85033 RES:  1.5357e-06
  Jacobi stage: ITER:   85419 RES:  1.4477e-06
  Jacobi stage: ITER:   85803 RES:  1.3648e-06
  Jacobi stage: ITER:   86189 RES:  1.2858e-06
  Jacobi stage: ITER:   86575 RES:  1.2122e-06
  Jacobi stage: ITER:   86959 RES:  1.1427e-06
  Jacobi stage: ITER:   87345 RES:  1.0766e-06
  Jacobi stage: ITER:   87731 RES:   1.015e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]

The following example shows how to employ timer (TNL::Timer) to the monitor of iterative solvers:

#include <iostream>
#include <memory>
#include <TNL/Timer.h>
#include <TNL/Matrices/SparseMatrix.h>
#include <TNL/Devices/Sequential.h>
#include <TNL/Devices/Cuda.h>
#include <TNL/Solvers/Linear/Jacobi.h>
 
template< typename Device >
void
iterativeLinearSolverExample()
{
   /***
    * Set the following matrix (dots represent zero matrix elements):
    *
    *   /  2.5 -1    .    .    .   \
    *   | -1    2.5 -1    .    .   |
    *   |  .   -1    2.5 -1.   .   |
    *   |  .    .   -1    2.5 -1   |
    *   \  .    .    .   -1    2.5 /
    */
   using MatrixType = TNL::Matrices::SparseMatrix< double, Device >;
   using Vector = TNL::Containers::Vector< double, Device >;
   const int size( 5 );
   auto matrix_ptr = std::make_shared< MatrixType >();
   matrix_ptr->setDimensions( size, size );
   matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
 
   auto f = [ = ] __cuda_callable__( typename MatrixType::RowView & row ) mutable
   {
      const int rowIdx = row.getRowIndex();
      if( rowIdx == 0 ) {
         row.setElement( 0, rowIdx, 2.5 );     // diagonal element
         row.setElement( 1, rowIdx + 1, -1 );  // element above the diagonal
      }
      else if( rowIdx == size - 1 ) {
         row.setElement( 0, rowIdx - 1, -1.0 );  // element below the diagonal
         row.setElement( 1, rowIdx, 2.5 );       // diagonal element
      }
      else {
         row.setElement( 0, rowIdx - 1, -1.0 );  // element below the diagonal
         row.setElement( 1, rowIdx, 2.5 );       // diagonal element
         row.setElement( 2, rowIdx + 1, -1.0 );  // element above the diagonal
      }
   };
 
   /***
    * Set the matrix elements.
    */
   matrix_ptr->forAllRows( f );
   std::cout << *matrix_ptr << '\n';
 
   /***
    * Set the right-hand side vector.
    */
   Vector x( size, 1.0 );
   Vector b( size );
   matrix_ptr->vectorProduct( x, b );
   x = 0.0;
   std::cout << "Vector b = " << b << '\n';
 
   /***
    * Setup solver of the linear system.
    */
   using LinearSolver = TNL::Solvers::Linear::Jacobi< MatrixType >;
   LinearSolver solver;
   solver.setMatrix( matrix_ptr );
   solver.setOmega( 0.0005 );
 
   /***
    * Setup monitor of the iterative solver.
    */
   using IterativeSolverMonitorType = TNL::Solvers::IterativeSolverMonitor< double >;
   IterativeSolverMonitorType monitor;
   TNL::Solvers::SolverMonitorThread mmonitorThread( monitor );
   monitor.setRefreshRate( 10 );  // refresh rate in milliseconds
   monitor.setVerbose( 1 );
   monitor.setStage( "Jacobi stage:" );
   TNL::Timer timer;
   monitor.setTimer( timer );
   timer.start();
   solver.setSolverMonitor( monitor );
   solver.setConvergenceResidue( 1.0e-6 );
   solver.solve( b, x );
   monitor.stopMainLoop();
   std::cout << "Vector x = " << x << '\n';
}
 
int
main( int argc, char* argv[] )
{
   std::cout << "Solving linear system on host:\n";
   iterativeLinearSolverExample< TNL::Devices::Sequential >();
 
#ifdef __CUDACC__
   std::cout << "Solving linear system on CUDA device:\n";
   iterativeLinearSolverExample< TNL::Devices::Cuda >();
#endif
}

The result looks as follows:

Solving linear system on host:
Row: 0 ->     0:2.5     1:-1  
Row: 1 ->     0:-1      1:2.5     2:-1  
Row: 2 ->     1:-1      2:2.5     3:-1  
Row: 3 ->     2:-1      3:2.5     4:-1  
Row: 4 ->     3:-1      4:2.5 
 
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
 ELA:1.8375e-
 ELA:  0.1001  Jacobi stage: ITER:   74601 RES:  7.6243e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]
Solving linear system on CUDA device:
Row: 0 ->     0:2.5     1:-1  
Row: 1 ->     0:-1      1:2.5     2:-1  
Row: 2 ->     1:-1      2:2.5     3:-1  
Row: 3 ->     2:-1      3:2.5     4:-1  
Row: 4 ->     3:-1      4:2.5 
 
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
 ELA:1.059e-0
 ELA:  0.1001  Jacobi stage: ITER:     407 RES:     0.87565
 ELA: 0.20017  Jacobi stage: ITER:     809 RES:     0.77751
 ELA: 0.30026  Jacobi stage: ITER:    1219 RES:     0.69783
 ELA: 0.40037  Jacobi stage: ITER:    1623 RES:      0.6331
 ELA: 0.50046  Jacobi stage: ITER:    2011 RES:     0.58087
 ELA: 0.60054  Jacobi stage: ITER:    2405 RES:     0.53519
 ELA: 0.70064  Jacobi stage: ITER:    2819 RES:     0.49396
 ELA: 0.80072  Jacobi stage: ITER:    3229 RES:     0.45774
 ELA:  0.9008  Jacobi stage: ITER:    3639 RES:     0.42579
 ELA:  1.0009  Jacobi stage: ITER:    4043 RES:     0.39727
 ELA:  1.1009  Jacobi stage: ITER:    4449 RES:     0.37105
 ELA:   1.201  Jacobi stage: ITER:    4851 RES:     0.34749
 ELA:  1.3011  Jacobi stage: ITER:    5269 RES:     0.32471
 ELA:  1.4013  Jacobi stage: ITER:    5679 RES:     0.30425
 ELA:  1.5013  Jacobi stage: ITER:    6067 RES:     0.28614
 ELA:  1.6014  Jacobi stage: ITER:    6433 RES:     0.27007
 ELA:  1.7015  Jacobi stage: ITER:    6839 RES:     0.25355
 ELA:  1.8016  Jacobi stage: ITER:    7245 RES:     0.23795
 ELA:  1.9017  Jacobi stage: ITER:    7653 RES:     0.22336
 ELA:  2.0018  Jacobi stage: ITER:    7847 RES:     0.21682
 ELA:  2.1019  Jacobi stage: ITER:    8019 RES:     0.21113
 ELA:   2.202  Jacobi stage: ITER:    8199 RES:     0.20533
 ELA:  2.3021  Jacobi stage: ITER:    8379 RES:      0.1997
 ELA:  2.4022  Jacobi stage: ITER:    8555 RES:     0.19435
 ELA:  2.5023  Jacobi stage: ITER:    8731 RES:     0.18915
 ELA:  2.6023  Jacobi stage: ITER:    8907 RES:     0.18408
 ELA:  2.7024  Jacobi stage: ITER:    9087 RES:     0.17905
 ELA:  2.8025  Jacobi stage: ITER:    9259 RES:     0.17436
 ELA:  2.9026  Jacobi stage: ITER:    9435 RES:      0.1697
 ELA:  3.0027  Jacobi stage: ITER:    9609 RES:     0.16516
 ELA:  3.1028  Jacobi stage: ITER:    9789 RES:     0.16065
 ELA:  3.2029  Jacobi stage: ITER:   10063 RES:     0.15407
 ELA:   3.303  Jacobi stage: ITER:   10459 RES:     0.14496
 ELA:  3.4031  Jacobi stage: ITER:   10871 RES:     0.13606
 ELA:  3.5032  Jacobi stage: ITER:   11265 RES:     0.12803
 ELA:  3.6032  Jacobi stage: ITER:   11679 RES:     0.12017
 ELA:  3.7033  Jacobi stage: ITER:   12067 RES:     0.11322
 ELA:  3.8034  Jacobi stage: ITER:   12451 RES:     0.10673
 ELA:  3.9035  Jacobi stage: ITER:   12827 RES:     0.10074
 ELA:  4.0036  Jacobi stage: ITER:   13211 RES:    0.094967
 ELA:  4.1037  Jacobi stage: ITER:   13599 RES:    0.089472
 ELA:  4.2038  Jacobi stage: ITER:   13983 RES:    0.084347
 ELA:  4.3038  Jacobi stage: ITER:   14369 RES:    0.079466
 ELA:  4.4039  Jacobi stage: ITER:   14755 RES:    0.074914
 ELA:   4.504  Jacobi stage: ITER:   15139 RES:    0.070623
 ELA:   4.604  Jacobi stage: ITER:   15525 RES:    0.066537
 ELA:  4.7041  Jacobi stage: ITER:   15911 RES:    0.062726
 ELA:  4.8041  Jacobi stage: ITER:   16295 RES:    0.059133
 ELA:  4.9042  Jacobi stage: ITER:   16681 RES:    0.055712
 ELA:  5.0042  Jacobi stage: ITER:   17067 RES:    0.052521
 ELA:  5.1043  Jacobi stage: ITER:   17451 RES:    0.049512
 ELA:  5.2043  Jacobi stage: ITER:   17835 RES:    0.046676
 ELA:  5.3043  Jacobi stage: ITER:   18221 RES:    0.043976
 ELA:  5.4045  Jacobi stage: ITER:   18609 RES:    0.041432
 ELA:  5.5045  Jacobi stage: ITER:   18995 RES:    0.039058
 ELA:  5.6045  Jacobi stage: ITER:   19379 RES:    0.036821
 ELA:  5.7046  Jacobi stage: ITER:   19763 RES:    0.034712
 ELA:  5.8046  Jacobi stage: ITER:   20149 RES:    0.032704
 ELA:  5.9046  Jacobi stage: ITER:   20535 RES:    0.030831
 ELA:  6.0047  Jacobi stage: ITER:   20919 RES:    0.029065
 ELA:  6.1048  Jacobi stage: ITER:   21305 RES:    0.027383
 ELA:  6.2048  Jacobi stage: ITER:   21691 RES:    0.025815
 ELA:  6.3049  Jacobi stage: ITER:   22075 RES:    0.024336
 ELA:  6.4049  Jacobi stage: ITER:   22461 RES:    0.022928
 ELA:  6.5049  Jacobi stage: ITER:   22847 RES:    0.021615
 ELA:   6.605  Jacobi stage: ITER:   23231 RES:    0.020377
 ELA:   6.705  Jacobi stage: ITER:   23617 RES:    0.019198
 ELA:   6.805  Jacobi stage: ITER:   24001 RES:    0.018098
 ELA:  6.9051  Jacobi stage: ITER:   24387 RES:    0.017062
 ELA:  7.0051  Jacobi stage: ITER:   24771 RES:    0.016084
 ELA:  7.1052  Jacobi stage: ITER:   25157 RES:    0.015154
 ELA:  7.2052  Jacobi stage: ITER:   25543 RES:    0.014286
 ELA:  7.3052  Jacobi stage: ITER:   25927 RES:    0.013468
 ELA:  7.4053  Jacobi stage: ITER:   26313 RES:    0.012688
 ELA:  7.5053  Jacobi stage: ITER:   26699 RES:    0.011962
 ELA:  7.6054  Jacobi stage: ITER:   27083 RES:    0.011277
 ELA:  7.7054  Jacobi stage: ITER:   27469 RES:    0.010624
 ELA:  7.8054  Jacobi stage: ITER:   27855 RES:    0.010016
 ELA:  7.9055  Jacobi stage: ITER:   28239 RES:    0.009442
 ELA:  8.0055  Jacobi stage: ITER:   28625 RES:   0.0088957
 ELA:  8.1055  Jacobi stage: ITER:   29011 RES:   0.0083862
 ELA:  8.2056  Jacobi stage: ITER:   29395 RES:   0.0079058
 ELA:  8.3056  Jacobi stage: ITER:   29781 RES:   0.0074484
 ELA:  8.4056  Jacobi stage: ITER:   30167 RES:   0.0070218
 ELA:  8.5057  Jacobi stage: ITER:   30551 RES:   0.0066196
 ELA:  8.6057  Jacobi stage: ITER:   30935 RES:   0.0062405
 ELA:  8.7058  Jacobi stage: ITER:   31321 RES:   0.0058794
 ELA:  8.8058  Jacobi stage: ITER:   31707 RES:   0.0055427
 ELA:  8.9058  Jacobi stage: ITER:   32091 RES:   0.0052252
 ELA:  9.0059  Jacobi stage: ITER:   32477 RES:   0.0049229
 ELA:  9.1059  Jacobi stage: ITER:   32863 RES:   0.0046409
 ELA:   9.206  Jacobi stage: ITER:   33247 RES:   0.0043751
 ELA:   9.306  Jacobi stage: ITER:   33633 RES:    0.004122
 ELA:   9.406  Jacobi stage: ITER:   34019 RES:   0.0038859
 ELA:  9.5061  Jacobi stage: ITER:   34403 RES:   0.0036633
 ELA:  9.6061  Jacobi stage: ITER:   34789 RES:   0.0034514
 ELA:  9.7061  Jacobi stage: ITER:   35175 RES:   0.0032537
 ELA:  9.8062  Jacobi stage: ITER:   35559 RES:   0.0030673
 ELA:  9.9062  Jacobi stage: ITER:   35945 RES:   0.0028898
 ELA:  10.006  Jacobi stage: ITER:   36331 RES:   0.0027243
 ELA:  10.106  Jacobi stage: ITER:   36715 RES:   0.0025683
 ELA:  10.206  Jacobi stage: ITER:   37101 RES:   0.0024197
 ELA:  10.306  Jacobi stage: ITER:   37487 RES:   0.0022811
 ELA:  10.406  Jacobi stage: ITER:   37873 RES:   0.0021491
 ELA:  10.506  Jacobi stage: ITER:   38259 RES:    0.002026
 ELA:  10.606  Jacobi stage: ITER:   38643 RES:     0.00191
 ELA:  10.707  Jacobi stage: ITER:   39029 RES:   0.0017995
 ELA:  10.807  Jacobi stage: ITER:   39415 RES:   0.0016964
 ELA:  10.907  Jacobi stage: ITER:   39799 RES:   0.0015992
 ELA:  11.007  Jacobi stage: ITER:   40185 RES:   0.0015067
 ELA:  11.107  Jacobi stage: ITER:   40571 RES:   0.0014204
 ELA:  11.207  Jacobi stage: ITER:   40955 RES:   0.0013391
 ELA:  11.307  Jacobi stage: ITER:   41341 RES:   0.0012616
 ELA:  11.407  Jacobi stage: ITER:   41727 RES:   0.0011893
 ELA:  11.507  Jacobi stage: ITER:   42111 RES:   0.0011212
 ELA:  11.607  Jacobi stage: ITER:   42497 RES:   0.0010563
 ELA:  11.707  Jacobi stage: ITER:   42883 RES:  0.00099583
 ELA:  11.807  Jacobi stage: ITER:   43269 RES:  0.00093822
 ELA:  11.907  Jacobi stage: ITER:   43655 RES:  0.00088448
 ELA:  12.007  Jacobi stage: ITER:   44039 RES:  0.00083382
 ELA:  12.107  Jacobi stage: ITER:   44425 RES:  0.00078558
 ELA:  12.207  Jacobi stage: ITER:   44811 RES:  0.00074058
 ELA:  12.307  Jacobi stage: ITER:   45195 RES:  0.00069816
 ELA:  12.407  Jacobi stage: ITER:   45581 RES:  0.00065777
 ELA:  12.507  Jacobi stage: ITER:   45967 RES:  0.00062009
 ELA:  12.607  Jacobi stage: ITER:   46351 RES:  0.00058458
 ELA:  12.707  Jacobi stage: ITER:   46737 RES:  0.00055076
 ELA:  12.807  Jacobi stage: ITER:   47123 RES:  0.00051921
 ELA:  12.907  Jacobi stage: ITER:   47507 RES:  0.00048947
 ELA:  13.007  Jacobi stage: ITER:   47893 RES:  0.00046115
 ELA:  13.108  Jacobi stage: ITER:   48279 RES:  0.00043474
 ELA:  13.208  Jacobi stage: ITER:   48663 RES:  0.00040984
 ELA:  13.308  Jacobi stage: ITER:   49049 RES:  0.00038613
 ELA:  13.408  Jacobi stage: ITER:   49435 RES:  0.00036401
 ELA:  13.508  Jacobi stage: ITER:   49819 RES:  0.00034316
 ELA:  13.608  Jacobi stage: ITER:   50205 RES:  0.00032331
 ELA:  13.708  Jacobi stage: ITER:   50591 RES:  0.00030479
 ELA:  13.808  Jacobi stage: ITER:   50975 RES:  0.00028733
 ELA:  13.908  Jacobi stage: ITER:   51361 RES:  0.00027071
 ELA:  14.008  Jacobi stage: ITER:   51747 RES:   0.0002552
 ELA:  14.108  Jacobi stage: ITER:   52131 RES:  0.00024058
 ELA:  14.208  Jacobi stage: ITER:   52517 RES:  0.00022666
 ELA:  14.308  Jacobi stage: ITER:   52903 RES:  0.00021368
 ELA:  14.408  Jacobi stage: ITER:   53287 RES:  0.00020144
 ELA:  14.508  Jacobi stage: ITER:   53675 RES:  0.00018979
 ELA:  14.608  Jacobi stage: ITER:   54059 RES:  0.00017892
 ELA:  14.708  Jacobi stage: ITER:   54445 RES:  0.00016857
 ELA:  14.808  Jacobi stage: ITER:   54831 RES:  0.00015891
 ELA:  14.908  Jacobi stage: ITER:   55215 RES:  0.00014981
 ELA:  15.008  Jacobi stage: ITER:   55601 RES:  0.00014114
 ELA:  15.108  Jacobi stage: ITER:   55987 RES:  0.00013306
 ELA:  15.208  Jacobi stage: ITER:   56371 RES:  0.00012544
 ELA:  15.308  Jacobi stage: ITER:   56757 RES:  0.00011818
 ELA:  15.408  Jacobi stage: ITER:   57143 RES:  0.00011141
 ELA:  15.509  Jacobi stage: ITER:   57527 RES:  0.00010503
 ELA:  15.609  Jacobi stage: ITER:   57913 RES:  9.8952e-05
 ELA:  15.709  Jacobi stage: ITER:   58299 RES:  9.3285e-05
 ELA:  15.809  Jacobi stage: ITER:   58683 RES:  8.7942e-05
 ELA:  15.909  Jacobi stage: ITER:   59069 RES:  8.2854e-05
 ELA:  16.009  Jacobi stage: ITER:   59455 RES:  7.8108e-05
 ELA:  16.243  Jacobi stage: ITER:   60357 RES:  6.7982e-05
 ELA:  16.343  Jacobi stage: ITER:   60743 RES:  6.4088e-05
 ELA:  16.443  Jacobi stage: ITER:   61127 RES:  6.0417e-05
 ELA:  16.543  Jacobi stage: ITER:   61513 RES:  5.6921e-05
 ELA:  16.643  Jacobi stage: ITER:   61899 RES:  5.3661e-05
 ELA:  16.743  Jacobi stage: ITER:   62283 RES:  5.0588e-05
 ELA:  16.843  Jacobi stage: ITER:   62669 RES:  4.7661e-05
 ELA:  16.943  Jacobi stage: ITER:   63055 RES:  4.4931e-05
 ELA:  17.043  Jacobi stage: ITER:   63441 RES:  4.2331e-05
 ELA:  17.143  Jacobi stage: ITER:   63827 RES:  3.9907e-05
 ELA:  17.243  Jacobi stage: ITER:   64211 RES:  3.7621e-05
 ELA:  17.344  Jacobi stage: ITER:   64597 RES:  3.5444e-05
 ELA:  17.444  Jacobi stage: ITER:   64983 RES:  3.3414e-05
 ELA:  17.544  Jacobi stage: ITER:   65367 RES:    3.15e-05
 ELA:  17.644  Jacobi stage: ITER:   65895 RES:  2.9046e-05
 ELA:  17.744  Jacobi stage: ITER:   66491 RES:  2.6505e-05
 ELA:  17.844  Jacobi stage: ITER:   67071 RES:  2.4246e-05
 ELA:  17.944  Jacobi stage: ITER:   67651 RES:   2.218e-05
 ELA:  18.044  Jacobi stage: ITER:   68231 RES:  2.0289e-05
 ELA:  18.144  Jacobi stage: ITER:   68811 RES:   1.856e-05
 ELA:  18.244  Jacobi stage: ITER:   69391 RES:  1.6978e-05
 ELA:  18.344  Jacobi stage: ITER:   69971 RES:  1.5531e-05
 ELA:  18.444  Jacobi stage: ITER:   70549 RES:  1.4207e-05
 ELA:  18.544  Jacobi stage: ITER:   71129 RES:  1.2996e-05
 ELA:  18.644  Jacobi stage: ITER:   71709 RES:  1.1888e-05
 ELA:  18.744  Jacobi stage: ITER:   72289 RES:  1.0875e-05
 ELA:  18.844  Jacobi stage: ITER:   72867 RES:  9.9541e-06
 ELA:  18.944  Jacobi stage: ITER:   73447 RES:  9.1057e-06
 ELA:  19.044  Jacobi stage: ITER:   74027 RES:  8.3295e-06
 ELA:  19.144  Jacobi stage: ITER:   74607 RES:  7.6196e-06
 ELA:  19.244  Jacobi stage: ITER:   75199 RES:  6.9573e-06
 ELA:  19.344  Jacobi stage: ITER:   75777 RES:  6.3643e-06
 ELA:  19.444  Jacobi stage: ITER:   76357 RES:  5.8218e-06
 ELA:  19.544  Jacobi stage: ITER:   76937 RES:  5.3256e-06
 ELA:  19.644  Jacobi stage: ITER:   77517 RES:  4.8716e-06
 ELA:  19.744  Jacobi stage: ITER:   78095 RES:  4.4591e-06
 ELA:  19.844  Jacobi stage: ITER:   78675 RES:  4.0791e-06
 ELA:  19.944  Jacobi stage: ITER:   79255 RES:  3.7314e-06
 ELA:  20.044  Jacobi stage: ITER:   79835 RES:  3.4133e-06
 ELA:  20.145  Jacobi stage: ITER:   80415 RES:  3.1224e-06
 ELA:  20.245  Jacobi stage: ITER:   80995 RES:  2.8563e-06
 ELA:  20.345  Jacobi stage: ITER:   81575 RES:  2.6128e-06
 ELA:  20.445  Jacobi stage: ITER:   82155 RES:  2.3901e-06
 ELA:  20.545  Jacobi stage: ITER:   82735 RES:  2.1864e-06
 ELA:  20.645  Jacobi stage: ITER:   83315 RES:       2e-06
 ELA:  20.745  Jacobi stage: ITER:   83893 RES:  1.8295e-06
 ELA:  20.845  Jacobi stage: ITER:   84473 RES:  1.6736e-06
 ELA:  20.945  Jacobi stage: ITER:   85053 RES:   1.531e-06
 ELA:  21.045  Jacobi stage: ITER:   85643 RES:  1.3987e-06
 ELA:  21.145  Jacobi stage: ITER:   86223 RES:  1.2795e-06
 ELA:  21.245  Jacobi stage: ITER:   86803 RES:  1.1705e-06
 ELA:  21.345  Jacobi stage: ITER:   87383 RES:  1.0707e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]

Member Function Documentation

◆ refresh()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::refresh ( )

overridevirtual

Causes that the monitor prints out the status of the solver.

Implements TNL::Solvers::SolverMonitor.

◆ setIterations()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setIterations ( const IndexType & iterations )

Set number of the current iteration.

Parameters

iterations is number of the current iteration.

◆ setNodesPerIteration()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setNodesPerIteration ( const IndexType & nodes )

Set the number of nodes of the numerical mesh or lattice.

This can be used to compute the number of nodes processed per one second.

Parameters

nodes is number of nodes of the numerical mesh or lattice.

◆ setResidue()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setResidue ( const RealType & residue )

Set residue of the current approximation of the solution.

Parameters

residue is a residue of the current approximation of the solution.

◆ setStage()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setStage ( const std::string & stage )

This method can be used for naming a stage of the monitored solver.

The stage name can be used to differ between various stages of iterative solvers.

Parameters

stage is name of the solver stage.

◆ setTime()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setTime ( const RealType & time )

Set the time of the simulated evolution if it is time dependent.

This can be used for example when solving parabolic or hyperbolic PDEs.

Parameters

time	time of the simulated evolution.

◆ setTimeStep()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setTimeStep ( const RealType & timeStep )

Set the time step for time dependent iterative solvers.

Parameters

timeStep time step of the time dependent iterative solver.

◆ setVerbose()

template<typename Real = double>

void TNL::Solvers::IterativeSolverMonitor< Real >::setVerbose ( const IndexType & verbose )

Set up the verbosity of the monitor.

Parameters

verbose is the new value of the verbosity of the monitor.

The documentation for this class was generated from the following file:

src/TNL/Solvers/IterativeSolverMonitor.h

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Function Documentation

◆ refresh()

◆ setIterations()

◆ setNodesPerIteration()

◆ setResidue()

◆ setStage()

◆ setTime()

◆ setTimeStep()

◆ setVerbose()