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stoch_multilevel_testresults_ex9.txt
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stoch_multilevel_testresults_ex9.txt
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>> stoch_multilevel_testproblem
Adaptive solution of reference stochastic diffusion problem.
Choose specific example:
1. Square domain (-1,1)^2, analytic KL expansion, non-constant source
2. Square domain (0,1)^2, Eigel synthetic random coefficient, constant source
3. Square domain (0,1)^2, Powell synthetic random coefficient, constant source
4. L-shaped domain, synthetic random coefficient, constant source
5. L-shaped domain, Eigel synthetic random coefficient, constant source
6. L-shaped domain, Powell synthetic random coefficient, constant source
7. Crack domain, Eigel synthetic random coefficient, constant source
8. Crack domain, Powell synthetic random coefficient, non-constant source
9. Square domain (0,1)^2, cookie problem, constant source
: 9
Desired error tolerance (default 5.0e-03) : 7e-03
Spatial error estimation type:
2-level estimator
Marking: combined or separate 1/2? (default 1) :
Spatial marking: elements/edges 1/2 (default 2) :
Marking strategy: maximum or Doerfler 1/2? (default 2) :
threshold parameter (default 0.4) :
Coarse grid generation for a unit square domain
Grid parameter: 2 for underlying 8x4 grid (default is 4 for 32x16) :
Random variables distribution:
Uniform or truncated Gaussian distribution 1/2? (default is 1) :
Number of active random variables? (default is 0) :
Accept initial index (0,0,0,...) yes/no? (1/0) (default 1) :
Default starting index: (0,0,0,...)
Extra active parameters in detail index sets? (default is 1) : 9
Run code in debug mode 1/0 (yes/no)? (default no) :
------------------------------------------------------------
Iteration 1
------------------------------------------------------------
REFINE
No refinement in the first adaptive step
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.08470 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 1 iterations (0.00000 sec)
Linear solver statistics:
Total ndof: 225
Stochastic parameters:
Active parameters: 0
Polynomial degree: 0
Computed solution:
Maximum mean value: 7.3610e-02
Maximum variance: 0.0000e+00
Energy norm: 1.8644e-01
Totale SOLVE time = 0.12757 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 0.11731 sec
XQ-error estimation
XQ-error estimation took 0.12208 sec
-> Simplistic YP-estimate of energy error: 1.5110e-02
-> Simplistic XQ-estimate of energy error: 2.5127e-02
-> Simplistic estimate of energy error: 2.9320e-02
Totale ESTIMATE time = 0.25149 sec
MARK
Combined marking
Spatial marking
Mesh 1: 0/800 marked edges, 0/800 overall marked edges
Total: 0/800 marked edges, 0/800 overall marked edges
Parametric marking
4/9 overall marked indices
Total MARK time = 0.01089 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 0.0000e+00
XQ-estimate (overall marked indices): 2.1235e-02
------------------------------------------------------------
Iteration 2
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Augmenting index set by
0 0 0 1 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 1 0 0 0 ...
0 0 0 0 0 1 0 0 0 0 0 ...
0 1 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.02131 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.06532 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 12 iterations (0.09000 sec)
Linear solver statistics:
Total ndof: 1125
Stochastic parameters:
Active parameters: 4
Polynomial degree: 1
Computed solution:
Maximum mean value: 7.4155e-02
Maximum variance: 3.2934e-05
Energy norm: 1.8708e-01
Totale SOLVE time = 0.20911 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 0.29727 sec
XQ-error estimation
XQ-error estimation took 0.46253 sec
-> Simplistic YP-estimate of energy error: 1.5884e-02
-> Simplistic XQ-estimate of energy error: 1.3960e-02
-> Simplistic estimate of energy error: 2.1147e-02
Totale ESTIMATE time = 0.78410 sec
MARK
Combined marking
Spatial marking
Mesh 1: 0/800 marked edges, 0/800 overall marked edges
Mesh 2: 0/800 marked edges, 0/800 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 0/800 marked edges, 0/800 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Total: 0/4000 marked edges, 0/4000 overall marked edges
Parametric marking
5/55 overall marked indices
Total MARK time = 0.01004 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 0.0000e+00
XQ-estimate (overall marked indices): 1.3502e-02
------------------------------------------------------------
Iteration 3
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Augmenting index set by
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 ...
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.00546 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.12261 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 14 iterations (0.14000 sec)
Linear solver statistics:
Total ndof: 2250
Stochastic parameters:
Active parameters: 9
Polynomial degree: 1
Computed solution:
Maximum mean value: 7.6144e-02
Maximum variance: 3.7067e-05
Energy norm: 1.8823e-01
Totale SOLVE time = 0.30281 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 0.49853 sec
XQ-error estimation
XQ-error estimation took 1.07815 sec
-> Simplistic YP-estimate of energy error: 1.7256e-02
-> Simplistic XQ-estimate of energy error: 5.8366e-03
-> Simplistic estimate of energy error: 1.8217e-02
Totale ESTIMATE time = 1.59521 sec
MARK
Combined marking
Spatial marking
Mesh 1: 23/800 marked edges, 23/800 overall marked edges
Mesh 2: 0/800 marked edges, 0/800 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 0/800 marked edges, 0/800 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 0/800 marked edges, 0/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 0/800 marked edges, 0/800 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 0/800 marked edges, 0/800 overall marked edges
Total: 23/8000 marked edges, 23/8000 overall marked edges
Parametric marking
5/135 overall marked indices
Total MARK time = 0.00507 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 1.0376e-02
XQ-estimate (overall marked indices): 5.1574e-03
------------------------------------------------------------
Iteration 4
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Augmenting index set by
0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.01874 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.23269 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 17 iterations (0.42000 sec)
Linear solver statistics:
Total ndof: 3398
Stochastic parameters:
Active parameters: 9
Polynomial degree: 2
Computed solution:
Maximum mean value: 7.6732e-02
Maximum variance: 4.2146e-05
Energy norm: 1.8863e-01
Totale SOLVE time = 0.51237 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 0.78751 sec
XQ-error estimation
XQ-error estimation took 1.66450 sec
-> Simplistic YP-estimate of energy error: 1.4672e-02
-> Simplistic XQ-estimate of energy error: 3.3021e-03
-> Simplistic estimate of energy error: 1.5039e-02
Totale ESTIMATE time = 2.47320 sec
MARK
Combined marking
Spatial marking
Mesh 1: 52/869 marked edges, 55/869 overall marked edges
Mesh 2: 0/800 marked edges, 0/800 overall marked edges
Mesh 3: 5/800 marked edges, 7/800 overall marked edges
Mesh 4: 0/800 marked edges, 0/800 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 5/800 marked edges, 7/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 4/800 marked edges, 4/800 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 5/800 marked edges, 7/800 overall marked edges
Mesh 11: 0/800 marked edges, 0/800 overall marked edges
Mesh 12: 0/800 marked edges, 0/800 overall marked edges
Mesh 13: 5/800 marked edges, 7/800 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 0/800 marked edges, 0/800 overall marked edges
Total: 76/12069 marked edges, 87/12069 overall marked edges
Parametric marking
5/220 overall marked indices
Total MARK time = 0.00830 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 9.3691e-03
XQ-estimate (overall marked indices): 2.1271e-03
------------------------------------------------------------
Iteration 5
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 3... done
Refinement of mesh 6... done
Refinement of mesh 8... done
Refinement of mesh 10... done
Refinement of mesh 13... done
Augmenting index set by
0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.07547 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.33384 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 17 iterations (0.77000 sec)
Linear solver statistics:
Total ndof: 4610
Stochastic parameters:
Active parameters: 9
Polynomial degree: 3
Computed solution:
Maximum mean value: 7.7178e-02
Maximum variance: 4.3052e-05
Energy norm: 1.8891e-01
Totale SOLVE time = 0.72057 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 1.10471 sec
XQ-error estimation
XQ-error estimation took 2.34472 sec
-> Simplistic YP-estimate of energy error: 1.2394e-02
-> Simplistic XQ-estimate of energy error: 2.6530e-03
-> Simplistic estimate of energy error: 1.2675e-02
Totale ESTIMATE time = 3.47321 sec
MARK
Combined marking
Spatial marking
Mesh 1: 94/1034 marked edges, 138/1034 overall marked edges
Mesh 2: 5/800 marked edges, 5/800 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 7/821 marked edges, 11/821 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 5/800 marked edges, 5/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 7/821 marked edges, 11/821 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 0/812 marked edges, 0/812 overall marked edges
Mesh 11: 0/800 marked edges, 0/800 overall marked edges
Mesh 12: 0/800 marked edges, 0/800 overall marked edges
Mesh 13: 7/821 marked edges, 11/821 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 5/800 marked edges, 5/800 overall marked edges
Mesh 16: 0/800 marked edges, 0/800 overall marked edges
Mesh 17: 7/821 marked edges, 11/821 overall marked edges
Mesh 18: 0/800 marked edges, 0/800 overall marked edges
Mesh 19: 5/800 marked edges, 5/800 overall marked edges
Mesh 20: 0/800 marked edges, 0/800 overall marked edges
Total: 142/16330 marked edges, 202/16330 overall marked edges
Parametric marking
9/305 overall marked indices
Total MARK time = 0.00779 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 8.0330e-03
XQ-estimate (overall marked indices): 2.0267e-03
------------------------------------------------------------
Iteration 6
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 2... done
Refinement of mesh 4... done
Refinement of mesh 6... done
Refinement of mesh 8... done
Refinement of mesh 13... done
Refinement of mesh 15... done
Refinement of mesh 17... done
Refinement of mesh 19... done
Augmenting index set by
0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.09621 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.51129 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 18 iterations (0.76000 sec)
Linear solver statistics:
Total ndof: 6822
Stochastic parameters:
Active parameters: 9
Polynomial degree: 4
Computed solution:
Maximum mean value: 7.7352e-02
Maximum variance: 4.3841e-05
Energy norm: 1.8913e-01
Totale SOLVE time = 1.08504 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 1.90540 sec
XQ-error estimation
XQ-error estimation took 3.40570 sec
-> Simplistic YP-estimate of energy error: 1.0370e-02
-> Simplistic XQ-estimate of energy error: 1.8662e-03
-> Simplistic estimate of energy error: 1.0537e-02
Totale ESTIMATE time = 5.33377 sec
MARK
Combined marking
Spatial marking
Mesh 1: 173/1433 marked edges, 259/1433 overall marked edges
Mesh 2: 5/815 marked edges, 13/815 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 6/854 marked edges, 10/854 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 0/800 marked edges, 0/800 overall marked edges
Mesh 7: 5/815 marked edges, 13/815 overall marked edges
Mesh 8: 0/800 marked edges, 0/800 overall marked edges
Mesh 9: 6/854 marked edges, 10/854 overall marked edges
Mesh 10: 0/800 marked edges, 0/800 overall marked edges
Mesh 11: 0/800 marked edges, 0/800 overall marked edges
Mesh 12: 8/812 marked edges, 16/812 overall marked edges
Mesh 13: 0/800 marked edges, 0/800 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 0/800 marked edges, 0/800 overall marked edges
Mesh 16: 0/800 marked edges, 0/800 overall marked edges
Mesh 17: 0/800 marked edges, 0/800 overall marked edges
Mesh 18: 6/854 marked edges, 10/854 overall marked edges
Mesh 19: 0/800 marked edges, 0/800 overall marked edges
Mesh 20: 0/800 marked edges, 0/800 overall marked edges
Mesh 21: 0/800 marked edges, 0/800 overall marked edges
Mesh 22: 5/815 marked edges, 13/815 overall marked edges
Mesh 23: 0/800 marked edges, 0/800 overall marked edges
Mesh 24: 6/854 marked edges, 10/854 overall marked edges
Mesh 25: 0/800 marked edges, 0/800 overall marked edges
Mesh 26: 0/800 marked edges, 0/800 overall marked edges
Mesh 27: 0/800 marked edges, 0/800 overall marked edges
Mesh 28: 5/815 marked edges, 13/815 overall marked edges
Mesh 29: 0/800 marked edges, 0/800 overall marked edges
Total: 225/24121 marked edges, 367/24121 overall marked edges
Parametric marking
13/444 overall marked indices
Total MARK time = 0.00705 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 6.7714e-03
XQ-estimate (overall marked indices): 1.6276e-03
------------------------------------------------------------
Iteration 7
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 2... done
Refinement of mesh 4... done
Refinement of mesh 7... done
Refinement of mesh 9... done
Refinement of mesh 12... done
Refinement of mesh 18... done
Refinement of mesh 22... done
Refinement of mesh 24... done
Refinement of mesh 28... done
Augmenting index set by
0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 ...
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 ...
1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.09233 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.86154 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 19 iterations (1.01000 sec)
Linear solver statistics:
Total ndof: 10097
Stochastic parameters:
Active parameters: 9
Polynomial degree: 5
Computed solution:
Maximum mean value: 7.7654e-02
Maximum variance: 4.6343e-05
Energy norm: 1.8927e-01
Totale SOLVE time = 1.74451 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 3.25051 sec
XQ-error estimation
XQ-error estimation took 4.86573 sec
-> Simplistic YP-estimate of energy error: 9.1456e-03
-> Simplistic XQ-estimate of energy error: 1.0114e-03
-> Simplistic estimate of energy error: 9.2013e-03
Totale ESTIMATE time = 8.14277 sec
MARK
Combined marking
Spatial marking
Mesh 1: 149/2193 marked edges, 196/2193 overall marked edges
Mesh 2: 18/854 marked edges, 25/854 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 16/884 marked edges, 37/884 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 0/800 marked edges, 0/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 19/854 marked edges, 25/854 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 0/800 marked edges, 0/800 overall marked edges
Mesh 11: 16/884 marked edges, 37/884 overall marked edges
Mesh 12: 0/800 marked edges, 0/800 overall marked edges
Mesh 13: 0/800 marked edges, 0/800 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 0/800 marked edges, 0/800 overall marked edges
Mesh 16: 8/860 marked edges, 24/860 overall marked edges
Mesh 17: 0/800 marked edges, 0/800 overall marked edges
Mesh 18: 0/800 marked edges, 0/800 overall marked edges
Mesh 19: 4/800 marked edges, 4/800 overall marked edges
Mesh 20: 0/800 marked edges, 0/800 overall marked edges
Mesh 21: 0/800 marked edges, 0/800 overall marked edges
Mesh 22: 0/800 marked edges, 0/800 overall marked edges
Mesh 23: 16/884 marked edges, 37/884 overall marked edges
Mesh 24: 0/800 marked edges, 0/800 overall marked edges
Mesh 25: 0/800 marked edges, 0/800 overall marked edges
Mesh 26: 0/800 marked edges, 0/800 overall marked edges
Mesh 27: 0/800 marked edges, 0/800 overall marked edges
Mesh 28: 0/800 marked edges, 0/800 overall marked edges
Mesh 29: 18/854 marked edges, 25/854 overall marked edges
Mesh 30: 0/800 marked edges, 0/800 overall marked edges
Mesh 31: 0/800 marked edges, 0/800 overall marked edges
Mesh 32: 16/884 marked edges, 37/884 overall marked edges
Mesh 33: 0/800 marked edges, 0/800 overall marked edges
Mesh 34: 0/800 marked edges, 0/800 overall marked edges
Mesh 35: 0/800 marked edges, 0/800 overall marked edges
Mesh 36: 0/800 marked edges, 0/800 overall marked edges
Mesh 37: 0/800 marked edges, 0/800 overall marked edges
Mesh 38: 0/800 marked edges, 0/800 overall marked edges
Mesh 39: 19/854 marked edges, 25/854 overall marked edges
Mesh 40: 0/800 marked edges, 0/800 overall marked edges
Mesh 41: 0/800 marked edges, 0/800 overall marked edges
Mesh 42: 0/800 marked edges, 0/800 overall marked edges
Total: 299/35605 marked edges, 472/35605 overall marked edges
Parametric marking
1/605 overall marked indices
Total MARK time = 0.01494 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 6.0464e-03
XQ-estimate (overall marked indices): 2.9233e-04
------------------------------------------------------------
Iteration 8
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 2... done
Refinement of mesh 4... done
Refinement of mesh 8... done
Refinement of mesh 11... done
Refinement of mesh 16... done
Refinement of mesh 19... done
Refinement of mesh 23... done
Refinement of mesh 29... done
Refinement of mesh 32... done
Refinement of mesh 39... done
Augmenting index set by
0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.11688 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (0.99575 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 21 iterations (1.19000 sec)
Linear solver statistics:
Total ndof: 10778
Stochastic parameters:
Active parameters: 9
Polynomial degree: 6
Computed solution:
Maximum mean value: 7.7499e-02
Maximum variance: 4.8702e-05
Energy norm: 1.8941e-01
Totale SOLVE time = 2.01143 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 3.83576 sec
XQ-error estimation
XQ-error estimation took 5.23408 sec
-> Simplistic YP-estimate of energy error: 8.1388e-03
-> Simplistic XQ-estimate of energy error: 9.8333e-04
-> Simplistic estimate of energy error: 8.1980e-03
Totale ESTIMATE time = 9.09320 sec
MARK
Combined marking
Spatial marking
Mesh 1: 223/2773 marked edges, 323/2773 overall marked edges
Mesh 2: 15/929 marked edges, 27/929 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 27/993 marked edges, 43/993 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 0/800 marked edges, 0/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 15/929 marked edges, 27/929 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 0/800 marked edges, 0/800 overall marked edges
Mesh 11: 29/993 marked edges, 47/993 overall marked edges
Mesh 12: 0/800 marked edges, 0/800 overall marked edges
Mesh 13: 0/800 marked edges, 0/800 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 0/800 marked edges, 0/800 overall marked edges
Mesh 16: 16/932 marked edges, 40/932 overall marked edges
Mesh 17: 0/800 marked edges, 0/800 overall marked edges
Mesh 18: 0/800 marked edges, 0/800 overall marked edges
Mesh 19: 8/812 marked edges, 16/812 overall marked edges
Mesh 20: 0/800 marked edges, 0/800 overall marked edges
Mesh 21: 0/800 marked edges, 0/800 overall marked edges
Mesh 22: 0/800 marked edges, 0/800 overall marked edges
Mesh 23: 0/800 marked edges, 0/800 overall marked edges
Mesh 24: 27/993 marked edges, 43/993 overall marked edges
Mesh 25: 0/800 marked edges, 0/800 overall marked edges
Mesh 26: 0/800 marked edges, 0/800 overall marked edges
Mesh 27: 0/800 marked edges, 0/800 overall marked edges
Mesh 28: 0/800 marked edges, 0/800 overall marked edges
Mesh 29: 0/800 marked edges, 0/800 overall marked edges
Mesh 30: 15/929 marked edges, 27/929 overall marked edges
Mesh 31: 0/800 marked edges, 0/800 overall marked edges
Mesh 32: 0/800 marked edges, 0/800 overall marked edges
Mesh 33: 28/993 marked edges, 45/993 overall marked edges
Mesh 34: 0/800 marked edges, 0/800 overall marked edges
Mesh 35: 0/800 marked edges, 0/800 overall marked edges
Mesh 36: 0/800 marked edges, 0/800 overall marked edges
Mesh 37: 0/800 marked edges, 0/800 overall marked edges
Mesh 38: 0/800 marked edges, 0/800 overall marked edges
Mesh 39: 0/800 marked edges, 0/800 overall marked edges
Mesh 40: 15/929 marked edges, 27/929 overall marked edges
Mesh 41: 0/800 marked edges, 0/800 overall marked edges
Mesh 42: 0/800 marked edges, 0/800 overall marked edges
Mesh 43: 0/800 marked edges, 0/800 overall marked edges
Total: 418/37805 marked edges, 665/37805 overall marked edges
Parametric marking
10/622 overall marked indices
Total MARK time = 0.01231 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 5.3413e-03
XQ-estimate (overall marked indices): 6.6566e-04
------------------------------------------------------------
Iteration 9
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 2... done
Refinement of mesh 4... done
Refinement of mesh 8... done
Refinement of mesh 11... done
Refinement of mesh 16... done
Refinement of mesh 19... done
Refinement of mesh 24... done
Refinement of mesh 30... done
Refinement of mesh 33... done
Refinement of mesh 40... done
Augmenting index set by
0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 ...
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.12722 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (1.34999 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 23 iterations (1.56000 sec)
Linear solver statistics:
Total ndof: 13661
Stochastic parameters:
Active parameters: 9
Polynomial degree: 6
Computed solution:
Maximum mean value: 7.7650e-02
Maximum variance: 5.0316e-05
Energy norm: 1.8952e-01
Totale SOLVE time = 2.78115 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 5.17165 sec
XQ-error estimation
XQ-error estimation took 6.57441 sec
-> Simplistic YP-estimate of energy error: 7.2355e-03
-> Simplistic XQ-estimate of energy error: 7.5218e-04
-> Simplistic estimate of energy error: 7.2745e-03
Totale ESTIMATE time = 11.77736 sec
MARK
Combined marking
Spatial marking
Mesh 1: 253/3726 marked edges, 369/3726 overall marked edges
Mesh 2: 24/1008 marked edges, 42/1008 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 42/1120 marked edges, 64/1120 overall marked edges
Mesh 5: 0/800 marked edges, 0/800 overall marked edges
Mesh 6: 1/800 marked edges, 3/800 overall marked edges
Mesh 7: 0/800 marked edges, 0/800 overall marked edges
Mesh 8: 0/800 marked edges, 0/800 overall marked edges
Mesh 9: 24/1008 marked edges, 42/1008 overall marked edges
Mesh 10: 0/800 marked edges, 0/800 overall marked edges
Mesh 11: 0/800 marked edges, 0/800 overall marked edges
Mesh 12: 42/1132 marked edges, 68/1132 overall marked edges
Mesh 13: 0/800 marked edges, 0/800 overall marked edges
Mesh 14: 0/800 marked edges, 0/800 overall marked edges
Mesh 15: 1/800 marked edges, 3/800 overall marked edges
Mesh 16: 0/800 marked edges, 0/800 overall marked edges
Mesh 17: 0/800 marked edges, 0/800 overall marked edges
Mesh 18: 20/1052 marked edges, 52/1052 overall marked edges
Mesh 19: 0/800 marked edges, 0/800 overall marked edges
Mesh 20: 0/800 marked edges, 0/800 overall marked edges
Mesh 21: 0/800 marked edges, 0/800 overall marked edges
Mesh 22: 0/800 marked edges, 0/800 overall marked edges
Mesh 23: 12/860 marked edges, 28/860 overall marked edges
Mesh 24: 12/800 marked edges, 20/800 overall marked edges
Mesh 25: 0/800 marked edges, 0/800 overall marked edges
Mesh 26: 0/800 marked edges, 0/800 overall marked edges
Mesh 27: 0/800 marked edges, 0/800 overall marked edges
Mesh 28: 42/1120 marked edges, 64/1120 overall marked edges
Mesh 29: 0/800 marked edges, 0/800 overall marked edges
Mesh 30: 0/800 marked edges, 0/800 overall marked edges
Mesh 31: 0/800 marked edges, 0/800 overall marked edges
Mesh 32: 0/800 marked edges, 0/800 overall marked edges
Mesh 33: 1/800 marked edges, 3/800 overall marked edges
Mesh 34: 0/800 marked edges, 0/800 overall marked edges
Mesh 35: 0/800 marked edges, 0/800 overall marked edges
Mesh 36: 24/1008 marked edges, 42/1008 overall marked edges
Mesh 37: 0/800 marked edges, 0/800 overall marked edges
Mesh 38: 0/800 marked edges, 0/800 overall marked edges
Mesh 39: 0/800 marked edges, 0/800 overall marked edges
Mesh 40: 42/1126 marked edges, 66/1126 overall marked edges
Mesh 41: 0/800 marked edges, 0/800 overall marked edges
Mesh 42: 0/800 marked edges, 0/800 overall marked edges
Mesh 43: 0/800 marked edges, 0/800 overall marked edges
Mesh 44: 0/800 marked edges, 0/800 overall marked edges
Mesh 45: 0/800 marked edges, 0/800 overall marked edges
Mesh 46: 1/800 marked edges, 3/800 overall marked edges
Mesh 47: 0/800 marked edges, 0/800 overall marked edges
Mesh 48: 0/800 marked edges, 0/800 overall marked edges
Mesh 49: 24/1008 marked edges, 42/1008 overall marked edges
Mesh 50: 0/800 marked edges, 0/800 overall marked edges
Mesh 51: 0/800 marked edges, 0/800 overall marked edges
Mesh 52: 0/800 marked edges, 0/800 overall marked edges
Mesh 53: 0/800 marked edges, 0/800 overall marked edges
Total: 565/47768 marked edges, 911/47768 overall marked edges
Parametric marking
9/744 overall marked indices
Total MARK time = 0.01667 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 4.7587e-03
XQ-estimate (overall marked indices): 4.8689e-04
------------------------------------------------------------
Iteration 10
------------------------------------------------------------
REFINE
Adaptive mesh refinement and polynomial enrichment
Refinement of mesh 1... done
Refinement of mesh 2... done
Refinement of mesh 4... done
Refinement of mesh 6... done
Refinement of mesh 9... done
Refinement of mesh 12... done
Refinement of mesh 15... done
Refinement of mesh 18... done
Refinement of mesh 23... done
Refinement of mesh 24... done
Refinement of mesh 28... done
Refinement of mesh 33... done
Refinement of mesh 36... done
Refinement of mesh 40... done
Refinement of mesh 46... done
Refinement of mesh 49... done
Augmenting index set by
0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 ...
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ...
0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
Computing new 'Q' indset ...
Total REFINE time = 0.16660 sec
SOLVE
Setting up stochastic P1 diffusion matrices... done (1.78476 sec)
MINRES solution of the linear system:
Call to STOCH_MULTILEVEL_xMINRES ...
Bingo! Convergence in 25 iterations (2.02000 sec)
Linear solver statistics:
Total ndof: 16573
Stochastic parameters:
Active parameters: 9
Polynomial degree: 7
Computed solution:
Maximum mean value: 7.7666e-02
Maximum variance: 5.3923e-05
Energy norm: 1.8958e-01
Totale SOLVE time = 3.69878 sec
ESTIMATE
A posteriori error estimation for P1 approximations:
YP-error estimation
Spatial 2-level error estimator
YP-error estimation took 6.98369 sec
XQ-error estimation
XQ-error estimation took 7.84162 sec
-> Simplistic YP-estimate of energy error: 6.4657e-03
-> Simplistic XQ-estimate of energy error: 5.9779e-04
-> Simplistic estimate of energy error: 6.4933e-03
Totale ESTIMATE time = 14.86094 sec
MARK
Combined marking
Spatial marking
Mesh 1: 406/4809 marked edges, 628/4809 overall marked edges
Mesh 2: 18/1134 marked edges, 42/1134 overall marked edges
Mesh 3: 0/800 marked edges, 0/800 overall marked edges
Mesh 4: 0/800 marked edges, 0/800 overall marked edges
Mesh 5: 52/1312 marked edges, 108/1312 overall marked edges
Mesh 6: 0/800 marked edges, 0/800 overall marked edges
Mesh 7: 3/809 marked edges, 7/809 overall marked edges
Mesh 8: 0/800 marked edges, 0/800 overall marked edges
Mesh 9: 0/800 marked edges, 0/800 overall marked edges
Mesh 10: 18/1134 marked edges, 42/1134 overall marked edges
Mesh 11: 0/800 marked edges, 0/800 overall marked edges
Mesh 12: 0/800 marked edges, 0/800 overall marked edges
Mesh 13: 0/800 marked edges, 0/800 overall marked edges
Mesh 14: 50/1336 marked edges, 100/1336 overall marked edges
Mesh 15: 0/800 marked edges, 0/800 overall marked edges
Mesh 16: 0/800 marked edges, 0/800 overall marked edges
Mesh 17: 2/809 marked edges, 6/809 overall marked edges
Mesh 18: 0/800 marked edges, 0/800 overall marked edges
Mesh 19: 0/800 marked edges, 0/800 overall marked edges
Mesh 20: 16/1208 marked edges, 36/1208 overall marked edges
Mesh 21: 0/800 marked edges, 0/800 overall marked edges
Mesh 22: 0/800 marked edges, 0/800 overall marked edges
Mesh 23: 0/800 marked edges, 0/800 overall marked edges
Mesh 24: 0/800 marked edges, 0/800 overall marked edges
Mesh 25: 16/944 marked edges, 48/944 overall marked edges
Mesh 26: 0/800 marked edges, 0/800 overall marked edges
Mesh 27: 0/800 marked edges, 0/800 overall marked edges
Mesh 28: 12/860 marked edges, 28/860 overall marked edges
Mesh 29: 4/800 marked edges, 4/800 overall marked edges
Mesh 30: 0/800 marked edges, 0/800 overall marked edges
Mesh 31: 0/800 marked edges, 0/800 overall marked edges
Mesh 32: 0/800 marked edges, 0/800 overall marked edges
Mesh 33: 52/1312 marked edges, 108/1312 overall marked edges
Mesh 34: 0/800 marked edges, 0/800 overall marked edges
Mesh 35: 0/800 marked edges, 0/800 overall marked edges
Mesh 36: 0/800 marked edges, 0/800 overall marked edges
Mesh 37: 0/800 marked edges, 0/800 overall marked edges
Mesh 38: 0/800 marked edges, 0/800 overall marked edges
Mesh 39: 3/809 marked edges, 7/809 overall marked edges
Mesh 40: 0/800 marked edges, 0/800 overall marked edges
Mesh 41: 0/800 marked edges, 0/800 overall marked edges
Mesh 42: 18/1134 marked edges, 42/1134 overall marked edges
Mesh 43: 0/800 marked edges, 0/800 overall marked edges
Mesh 44: 0/800 marked edges, 0/800 overall marked edges
Mesh 45: 0/800 marked edges, 0/800 overall marked edges
Mesh 46: 0/800 marked edges, 0/800 overall marked edges
Mesh 47: 51/1324 marked edges, 104/1324 overall marked edges
Mesh 48: 0/800 marked edges, 0/800 overall marked edges
Mesh 49: 0/800 marked edges, 0/800 overall marked edges
Mesh 50: 0/800 marked edges, 0/800 overall marked edges
Mesh 51: 0/800 marked edges, 0/800 overall marked edges
Mesh 52: 0/800 marked edges, 0/800 overall marked edges
Mesh 53: 0/800 marked edges, 0/800 overall marked edges
Mesh 54: 3/809 marked edges, 7/809 overall marked edges
Mesh 55: 0/800 marked edges, 0/800 overall marked edges
Mesh 56: 0/800 marked edges, 0/800 overall marked edges
Mesh 57: 18/1134 marked edges, 42/1134 overall marked edges
Mesh 58: 0/800 marked edges, 0/800 overall marked edges
Mesh 59: 0/800 marked edges, 0/800 overall marked edges
Mesh 60: 0/800 marked edges, 0/800 overall marked edges
Mesh 61: 0/800 marked edges, 0/800 overall marked edges
Mesh 62: 0/800 marked edges, 0/800 overall marked edges
Total: 742/57677 marked edges, 1359/57677 overall marked edges
Parametric marking
2/887 overall marked indices
Total MARK time = 0.01327 sec
Error estimates (marked indicators)
YP-estimate (overall marked elements/edges): 4.2556e-03
XQ-estimate (overall marked indices): 1.6107e-04
--------------------------------------------------
Tolerance reached!
--------------------------------------------------
Total elapsed time: 71.880 sec
Total iterations needed: 10
Final estimated energy error: 6.4933e-03
Final number of degrees of freedom: 16573
-----------------------------------------
Evolution of the index set:
0 0 0 0 0 0 0 0 0 ...
----------------------------------------- iter = 2
0 0 0 1 0 0 0 0 0 ...
0 0 0 0 0 0 0 1 0 ...
0 0 0 0 0 1 0 0 0 ...
0 1 0 0 0 0 0 0 0 ...
----------------------------------------- iter = 3
1 0 0 0 0 0 0 0 0 ...
0 0 1 0 0 0 0 0 0 ...
0 0 0 0 0 0 1 0 0 ...
0 0 0 0 0 0 0 0 1 ...
0 0 0 0 1 0 0 0 0 ...
----------------------------------------- iter = 4
0 0 0 2 0 0 0 0 0 ...
0 0 0 0 0 0 0 2 0 ...
0 0 0 0 0 2 0 0 0 ...
0 2 0 0 0 0 0 0 0 ...
0 0 0 0 2 0 0 0 0 ...
----------------------------------------- iter = 5
0 0 0 0 3 0 0 0 0 ...
0 0 2 0 0 0 0 0 0 ...
2 0 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 0 2 ...
0 0 0 0 0 0 2 0 0 ...
----------------------------------------- iter = 6
0 0 0 0 4 0 0 0 0 ...
0 0 0 0 0 0 0 3 0 ...
0 3 0 0 0 0 0 0 0 ...
0 0 0 0 0 3 0 0 0 ...
0 0 0 3 0 0 0 0 0 ...
0 1 0 0 1 0 0 0 0 ...
0 0 0 0 1 0 0 1 0 ...
0 0 0 0 1 1 0 0 0 ...
0 0 0 1 1 0 0 0 0 ...
----------------------------------------- iter = 7
0 0 0 0 0 0 0 1 1 ...
1 1 0 0 0 0 0 0 0 ...
0 0 1 0 0 1 0 0 0 ...
0 0 0 0 0 1 0 0 1 ...
1 0 0 1 0 0 0 0 0 ...
0 1 1 0 0 0 0 0 0 ...
0 0 0 1 0 0 1 0 0 ...
0 0 0 0 0 0 1 1 0 ...
0 0 0 0 5 0 0 0 0 ...
0 0 0 1 0 0 0 1 0 ...
0 1 0 1 0 0 0 0 0 ...
0 1 0 0 0 1 0 0 0 ...
0 0 0 0 0 1 0 1 0 ...
----------------------------------------- iter = 8
0 0 0 0 6 0 0 0 0 ...
----------------------------------------- iter = 9
0 1 0 0 0 0 0 1 0 ...
0 0 0 1 0 1 0 0 0 ...
0 0 0 0 0 4 0 0 0 ...
0 4 0 0 0 0 0 0 0 ...
0 0 0 0 0 0 0 4 0 ...
0 0 0 4 0 0 0 0 0 ...
0 0 1 0 1 0 0 0 0 ...
0 0 0 0 1 0 0 0 1 ...
1 0 0 0 1 0 0 0 0 ...
0 0 0 0 1 0 1 0 0 ...
----------------------------------------- iter = 10