[petsc-users] negative grid complexity in GAMG
Matthew Knepley
knepley at gmail.com
Thu Oct 17 09:54:57 CDT 2019
On Thu, Oct 17, 2019 at 10:35 AM Mark Lohry <mlohry at gmail.com> wrote:
> Sounds reasonable to me, I'll give it a shot and report back.
>
> Is there a command line way to do this? If I recall correctly,
> -mg_coarse_... sets the options only on the coarsest grid. Is there a
> -mg_every_level_but_the_finest_... type option, or do I need to manually
> set each non-finest level programmatically?
>
We do not have that, so you are stuck with -mg_level_1_... We can put that
in if this is too cumbersome. What
I have found is that I only really do it for the next coarsest level
instead of all but the finest.
Thanks,
Matt
> On Thu, Oct 17, 2019 at 9:03 AM Matthew Knepley <knepley at gmail.com> wrote:
>
>> On Thu, Oct 17, 2019 at 8:07 AM Mark Lohry <mlohry at gmail.com> wrote:
>>
>>> So with many fewer levels, are you saying
>>>>
>>>> a) It takes more iterates?
>>>>
>>>> b) It takes the same wall clock time?
>>>>
>>>
>>> Slightly more iterates but at roughly the same wall clock time. Only did
>>> a short test but the runtime difference looks like it was in the noise.
>>>
>>>
>>>
>>>> I think you might want to switch to beefier smoothers on those lower
>>>> levels if you see
>>>> more iterates.
>>>>
>>>
>>> I was thinking the same. I just did a quick run with 2 smoother iterates
>>> per level instead of 1 and got maybe 20% performance benefit, so I'll play
>>> with that a bit more. I figure ILU(0) is already a pretty beefy smoother
>>> here especially because of the very large blocks; ILU(1) is out because of
>>> memory consumption, unless I only do it on the coarsened levels.
>>>
>>
>> I mean exactly this, only make the smoother stronger on coarse levels.
>>
>> Thanks,
>>
>> Matt
>>
>>
>>> On much stiffer problems I saw considerable benefit from doing
>>> gmres+ILU(0) for 5 iterations per level, so I'll give that a shot.
>>>
>>> On Thu, Oct 17, 2019 at 6:48 AM Matthew Knepley <knepley at gmail.com>
>>> wrote:
>>>
>>>> On Thu, Oct 17, 2019 at 6:22 AM Mark Lohry via petsc-users <
>>>> petsc-users at mcs.anl.gov> wrote:
>>>>
>>>>> Hi Mark,
>>>>>
>>>>> I assume these are advection problems and smoothed aggregation does
>>>>>> not work well.
>>>>>>
>>>>>
>>>>> Correct, it stagnates immediately with smoothed aggregation.
>>>>>
>>>>>
>>>>> I think '-pc_gamg_square_graph 20' should reduce the number of levels
>>>>>> and work better for you.
>>>>>>
>>>>>
>>>>> On the big problem it's producing 20 levels without
>>>>> -pc_gamg_square_graph 20; with that on it produces 6 levels. It certainly
>>>>> has less of the near-identical-size coarse levels, but overall convergence
>>>>> time is roughly the same. Any suggestion of where to go from here?
>>>>>
>>>>
>>>> So with many fewer levels, are you saying
>>>>
>>>> a) It takes more iterates?
>>>>
>>>> b) It takes the same wall clock time?
>>>>
>>>> I think you might want to switch to beefier smoothers on those lower
>>>> levels if you see
>>>> more iterates. Mark?
>>>>
>>>> Thanks,
>>>>
>>>> Matt
>>>>
>>>>
>>>>> Original setup without pc_gamg_square_graph 20:
>>>>>
>>>>> [0] PCSetUp_GAMG(): level 0) N=347149550, n data rows=5, n data
>>>>> cols=5, nnz/row (ave)=250, np=1920
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 50. nnz ave. (N=69429910)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 1 of 1 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 894786 nodes
>>>>> [0] PCSetUp_GAMG(): 1) N=4473930, n data cols=5, nnz/row (ave)=51,
>>>>> 1920 active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 10.1761 nnz ave. (N=894786)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 184262 nodes
>>>>> [0] PCSetUp_GAMG(): 2) N=921310, n data cols=5, nnz/row (ave)=68, 1920
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 13.0556 nnz ave. (N=184262)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 41002 nodes
>>>>> [0] PCSetUp_GAMG(): 3) N=205010, n data cols=5, nnz/row (ave)=72, 1920
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 10.0909 nnz ave. (N=41002)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 12587 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 20 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 4) N=62935, n data cols=5, nnz/row (ave)=62, 960
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 5.33333 nnz ave. (N=12587)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 5811 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 40 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 5) N=29055, n data cols=5, nnz/row (ave)=50, 640
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.8 nnz ave. (N=5811)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 3442 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 110 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 6) N=17210, n data cols=5, nnz/row (ave)=40, 320
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 4.66176 nnz ave. (N=3442)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 2365 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 275 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 7) N=11825, n data cols=5, nnz/row (ave)=34, 240
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 4.961 nnz ave. (N=2365)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1792 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 1125 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 8) N=8960, n data cols=5, nnz/row (ave)=28, 192
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 5.79911 nnz ave. (N=1792)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1479 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 7395 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 9) N=7395, n data cols=5, nnz/row (ave)=24, 160
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 4.86883 nnz ave. (N=1479)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1378 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 6890 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 10) N=6890, n data cols=5, nnz/row (ave)=22, 128
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 4.44702 nnz ave. (N=1378)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1210 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 6050 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 11) N=6050, n data cols=5, nnz/row (ave)=18, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.64298 nnz ave. (N=1210)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1185 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=120,
>>>>> neq(loc)=5925
>>>>> [0] PCSetUp_GAMG(): 12) N=5925, n data cols=5, nnz/row (ave)=17, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.54177 nnz ave. (N=1185)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1165 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=120,
>>>>> neq(loc)=5825
>>>>> [0] PCSetUp_GAMG(): 13) N=5825, n data cols=5, nnz/row (ave)=17, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.5133 nnz ave. (N=1165)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1137 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=120,
>>>>> neq(loc)=5685
>>>>> [0] PCSetUp_GAMG(): 14) N=5685, n data cols=5, nnz/row (ave)=17, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.48021 nnz ave. (N=1137)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1097 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=120,
>>>>> neq(loc)=5485
>>>>> [0] PCSetUp_GAMG(): 15) N=5485, n data cols=5, nnz/row (ave)=16, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.3938 nnz ave. (N=1097)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1088 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=120,
>>>>> neq(loc)=5440
>>>>> [0] PCSetUp_GAMG(): 16) N=5440, n data cols=5, nnz/row (ave)=16, 120
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.34375 nnz ave. (N=1088)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 852 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 4260 with
>>>>> simple aggregation
>>>>> [0] PCSetUp_GAMG(): 17) N=4260, n data cols=5, nnz/row (ave)=15, 80
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.06103 nnz ave. (N=852)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 848 nodes
>>>>> [0] PCSetUp_GAMG(): 18) N=4240, n data cols=5, nnz/row (ave)=15, 80
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 3.0566 nnz ave. (N=848)
>>>>> [0] PCGAMGProlongator_AGG(): New grid 3 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 15 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 19) N=15, n data cols=5, nnz/row (ave)=11, 1
>>>>> active pes
>>>>> [0] PCSetUp_GAMG(): 20 levels, grid complexity = 1.00367
>>>>>
>>>>> With pc_gamg_square_graph 20:
>>>>>
>>>>>
>>>>> [0] PCSetUp_GAMG(): level 0) N=347149550, n data rows=5, n data
>>>>> cols=5, nnz/row (ave)=250, np=1920
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 50. nnz ave. (N=69429910)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 1 of 20 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 894786 nodes
>>>>> [0] PCSetUp_GAMG(): 1) N=4473930, n data cols=5, nnz/row (ave)=51,
>>>>> 1920 active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 10.1761 nnz ave. (N=894786)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 2 of 20 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 49106 nodes
>>>>> [0] PCSetUp_GAMG(): 2) N=245530, n data cols=5, nnz/row (ave)=80, 1920
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 14.8 nnz ave. (N=49106)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 3 of 20 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 1646 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 0 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 3) N=8230, n data cols=5, nnz/row (ave)=86, 160
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 11.5 nnz ave. (N=1646)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 4 of 20 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 56 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 0 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 4) N=280, n data cols=5, nnz/row (ave)=62, 6
>>>>> active pes
>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold 0.,
>>>>> 12.5714 nnz ave. (N=56)
>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 5 of 20 to square
>>>>> [0] PCGAMGProlongator_AGG(): New grid 4 nodes
>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 20 with simple
>>>>> aggregation
>>>>> [0] PCSetUp_GAMG(): 5) N=20, n data cols=5, nnz/row (ave)=17, 1 active
>>>>> pes
>>>>> [0] PCSetUp_GAMG(): 6 levels, grid complexity = 1.00291
>>>>>
>>>>> On Wed, Oct 16, 2019 at 9:46 PM Mark Adams <mfadams at lbl.gov> wrote:
>>>>>
>>>>>> The block size refers to the number of dofs/vertex, so you want 5. (I
>>>>>> have no idea what is going on with block size set to 20).
>>>>>>
>>>>>> This is better but also smaller. 10 levels is a lot a levels.
>>>>>>
>>>>>> This is unsmoothed aggregation. I assume these are advection problems
>>>>>> and smoothed aggregation does not work well. This is not in my wheelhouse.
>>>>>> I think '-pc_gamg_square_graph 20' should reduce the number of levels and
>>>>>> work better for you.
>>>>>>
>>>>>> Thanks,
>>>>>> Mark
>>>>>>
>>>>>> On Wed, Oct 16, 2019 at 8:59 PM Mark Lohry <mlohry at gmail.com> wrote:
>>>>>>
>>>>>>> Hi Mark, are you referring to how on the coarser levels the
>>>>>>> coarsening rate seems to nearly flatline? i.e. level 2 has 4,260 rows while
>>>>>>> level 1 has 4,240 rows? I was curious about that too...
>>>>>>>
>>>>>>> Not sure if this is the cause, but I have gone back and forth on
>>>>>>> what blocksize I set; I'm doing high order elements with 5 coupled
>>>>>>> equations, so the true block size in that case is 50x50. For that I had
>>>>>>> played with setting block size to either 5 (number of equations) or 50
>>>>>>> (actual block size) and seemed to have seen a meager 20% improvement with
>>>>>>> the block size at 5, so I kind of left it there.
>>>>>>>
>>>>>>> Running a much smaller variant of the same problem at lower order
>>>>>>> (block size 20 instead of 50), the -info grep you asked for is below. I'll
>>>>>>> get -info for the much larger case but it'll take a couple days.
>>>>>>>
>>>>>>> For options I'm running
>>>>>>> -snes_lag_jacobian 10000 -ksp_gmres_restart 100
>>>>>>> -pc_gamg_agg_nsmooths 0 -mg_levels_ksp_type richardson -mg_levels_pc_type
>>>>>>> asm -mg_levels_ksp_max_it 1
>>>>>>> -pc_mg_cycle_type v -snes_linesearch_type bt -snes_linesearch_order
>>>>>>> 3
>>>>>>> -snes_linesearch_monitor -mg_levels_sub_pc_factor_in_place true -info
>>>>>>>
>>>>>>>
>>>>>>> block size 5 :
>>>>>>>
>>>>>>> [0] PCSetUp_GAMG(): level 0) N=2006480, n data rows=5, n data
>>>>>>> cols=5, nnz/row (ave)=100, np=16
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 20. nnz ave. (N=401296)
>>>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 1 of 1 to square
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 12947 nodes
>>>>>>> [0] PCSetUp_GAMG(): 1) N=64735, n data cols=5, nnz/row (ave)=51, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 10.3351 nnz ave. (N=12947)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 2671 nodes
>>>>>>> [0] PCSetUp_GAMG(): 2) N=13355, n data cols=5, nnz/row (ave)=66, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 12.5524 nnz ave. (N=2671)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 598 nodes
>>>>>>> [0] PCSetUp_GAMG(): 3) N=2990, n data cols=5, nnz/row (ave)=65, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 12.7727 nnz ave. (N=598)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 178 nodes
>>>>>>> [0] PCSetUp_GAMG(): 4) N=890, n data cols=5, nnz/row (ave)=52, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 8.28571 nnz ave. (N=178)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 80 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 30 with
>>>>>>> simple aggregation
>>>>>>> [0] PCSetUp_GAMG(): 5) N=400, n data cols=5, nnz/row (ave)=34, 8
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 5.77778 nnz ave. (N=80)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 50 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 30 with
>>>>>>> simple aggregation
>>>>>>> [0] PCSetUp_GAMG(): 6) N=250, n data cols=5, nnz/row (ave)=25, 4
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 4.76923 nnz ave. (N=50)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 36 nodes
>>>>>>> [0] PCSetUp_GAMG(): 7) N=180, n data cols=5, nnz/row (ave)=18, 4
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 3.75 nnz ave. (N=36)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 33 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Aggregate processors noop: new_size=4,
>>>>>>> neq(loc)=90
>>>>>>> [0] PCSetUp_GAMG(): 8) N=165, n data cols=5, nnz/row (ave)=18, 4
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 3.72222 nnz ave. (N=33)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 8 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 35 with
>>>>>>> simple aggregation
>>>>>>> [0] PCSetUp_GAMG(): 9) N=40, n data cols=5, nnz/row (ave)=15, 1
>>>>>>> active pes
>>>>>>> [0] PCSetUp_GAMG(): 10 levels, grid complexity = 1.02237
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> block size 20:
>>>>>>>
>>>>>>> [0] PCSetUp_GAMG(): level 0) N=2006480, n data rows=20, n data
>>>>>>> cols=20, nnz/row (ave)=100, np=16
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 5. nnz ave. (N=100324)
>>>>>>> [0] PCGAMGCoarsen_AGG(): Square Graph on level 1 of 1 to square
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 12948 nodes
>>>>>>> [0] PCSetUp_GAMG(): 1) N=258960, n data cols=20, nnz/row (ave)=205,
>>>>>>> 16 active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 10.2857 nnz ave. (N=12948)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 2671 nodes
>>>>>>> [0] PCSetUp_GAMG(): 2) N=53420, n data cols=20, nnz/row (ave)=266,
>>>>>>> 16 active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 12.5548 nnz ave. (N=2671)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 593 nodes
>>>>>>> [0] PCSetUp_GAMG(): 3) N=11860, n data cols=20, nnz/row (ave)=264,
>>>>>>> 16 active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 10.8519 nnz ave. (N=593)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 181 nodes
>>>>>>> [0] PCSetUp_GAMG(): 4) N=3620, n data cols=20, nnz/row (ave)=214, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 8.375 nnz ave. (N=181)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 79 nodes
>>>>>>> [0] PCSetUp_GAMG(): 5) N=1580, n data cols=20, nnz/row (ave)=164, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 8. nnz ave. (N=79)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 43 nodes
>>>>>>> [0] PCSetUp_GAMG(): 6) N=860, n data cols=20, nnz/row (ave)=100, 16
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 5. nnz ave. (N=43)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 15 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 20 with
>>>>>>> simple aggregation
>>>>>>> [0] PCSetUp_GAMG(): 7) N=300, n data cols=20, nnz/row (ave)=81, 8
>>>>>>> active pes
>>>>>>> [0] PCGAMGFilterGraph(): 100.% nnz after filtering, with threshold
>>>>>>> 0., 2.66667 nnz ave. (N=15)
>>>>>>> [0] PCGAMGProlongator_AGG(): New grid 1 nodes
>>>>>>> [0] PCGAMGCreateLevel_GAMG(): Number of equations (loc) 0 with
>>>>>>> simple aggregation
>>>>>>> [0] PCSetUp_GAMG(): 8) N=20, n data cols=20, nnz/row (ave)=20, 1
>>>>>>> active pes
>>>>>>> [0] PCSetUp_GAMG(): HARD stop of coarsening on level 7. Grid too
>>>>>>> small: 1 block nodes
>>>>>>> [0] PCSetUp_GAMG(): 9 levels, grid complexity = 1.35745
>>>>>>>
>>>>>>> On Wed, Oct 16, 2019 at 5:12 PM Mark Adams <mfadams at lbl.gov> wrote:
>>>>>>>
>>>>>>>> Thanks Barry,
>>>>>>>> Sorry I missed this.
>>>>>>>> Mark: this problem is going crazy. The (default) coarsening
>>>>>>>> parameters are terrible for you. Can run with -info, grep for GAMG and send
>>>>>>>> that? And please send me the gamg parameters that you are using.
>>>>>>>> Thanks,
>>>>>>>> Mark
>>>>>>>>
>>>>>>>> On Wed, Oct 16, 2019 at 9:01 AM Smith, Barry F. via petsc-users <
>>>>>>>> petsc-users at mcs.anl.gov> wrote:
>>>>>>>>
>>>>>>>>>
>>>>>>>>> barry/2019-10-15/bug-gamg-complexity/maint
>>>>>>>>> https://gitlab.com/petsc/petsc/merge_requests/2179
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> > On Oct 16, 2019, at 5:29 AM, Mark Lohry <mlohry at gmail.com>
>>>>>>>>> wrote:
>>>>>>>>> >
>>>>>>>>> > Well that was a quick late night bug fix. Thanks Barry, I'll try
>>>>>>>>> it out.
>>>>>>>>> >
>>>>>>>>> > Just to confirm: You are running with with default double
>>>>>>>>> precision numbers and have used the configure option --with-64-bit-indices ?
>>>>>>>>> >
>>>>>>>>> > Double precision floats, but 32 bit indices. I realize I'm
>>>>>>>>> playing with fire here, but I'm bumping very close to available memory
>>>>>>>>> limits at this scale and 64 bit indices tips me over. I figure integer
>>>>>>>>> index overflows would probably show a catastrophic failure, but all output
>>>>>>>>> looks sane.
>>>>>>>>> >
>>>>>>>>> > I see you are using MATMFFD as the operator and MPIAIJ as the
>>>>>>>>> matrix from which to build the preconditioner? This is not suppose to cause
>>>>>>>>> any difficulties since the complexity computation code uses the second
>>>>>>>>> matrix, that is the MPAIJ matrix to get the complexity information.
>>>>>>>>> >
>>>>>>>>> > Right, I'm using MATMFFD for the operator, and using a
>>>>>>>>> snes_lag_jacobian with SNESComputeJacobianDefaultColor for the matrix used
>>>>>>>>> to build to preconditioner. The actual behavior is exactly what I'd expect
>>>>>>>>> from smaller runs and the results look good, so it sounds like what you
>>>>>>>>> describe.
>>>>>>>>> >
>>>>>>>>> > On Wed, Oct 16, 2019 at 12:17 AM Smith, Barry F. <
>>>>>>>>> bsmith at mcs.anl.gov> wrote:
>>>>>>>>> >
>>>>>>>>> > I think I now see the bug: the code uses PetscInt lev,
>>>>>>>>> nnz0 = -1; which will overflow. It should be using PetscLogDouble for nnz0
>>>>>>>>> >
>>>>>>>>> > You can try changing that one place in the code and see that
>>>>>>>>> it now prints a reasonable value for complexity.
>>>>>>>>> >
>>>>>>>>> > I will prepare a MR for maint to fix the bug permanently.
>>>>>>>>> >
>>>>>>>>> > Barry
>>>>>>>>> >
>>>>>>>>> >
>>>>>>>>> > static PetscErrorCode PCMGGetGridComplexity(PC pc, PetscReal *gc)
>>>>>>>>> > {
>>>>>>>>> > PetscErrorCode ierr;
>>>>>>>>> > PC_MG *mg = (PC_MG*)pc->data;
>>>>>>>>> > PC_MG_Levels **mglevels = mg->levels;
>>>>>>>>> > PetscInt lev, nnz0 = -1;
>>>>>>>>> > MatInfo info;
>>>>>>>>> > PetscFunctionBegin;
>>>>>>>>> > if (!mg->nlevels) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"MG
>>>>>>>>> has no levels");
>>>>>>>>> > for (lev=0, *gc=0; lev<mg->nlevels; lev++) {
>>>>>>>>> > Mat dB;
>>>>>>>>> > ierr =
>>>>>>>>> KSPGetOperators(mglevels[lev]->smoothd,NULL,&dB);CHKERRQ(ierr);
>>>>>>>>> > ierr = MatGetInfo(dB,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr); /*
>>>>>>>>> global reduction */
>>>>>>>>> > *gc += (PetscReal)info.nz_used;
>>>>>>>>> > if (lev==mg->nlevels-1) nnz0 = info.nz_used;
>>>>>>>>> > }
>>>>>>>>> > if (nnz0) *gc /= (PetscReal)nnz0;
>>>>>>>>> > else *gc = 0;
>>>>>>>>> > PetscFunctionReturn(0);
>>>>>>>>> > }
>>>>>>>>> >
>>>>>>>>> >
>>>>>>>>> >
>>>>>>>>> > > On Oct 15, 2019, at 11:11 PM, Smith, Barry F. <
>>>>>>>>> bsmith at mcs.anl.gov> wrote:
>>>>>>>>> > >
>>>>>>>>> > >
>>>>>>>>> > > Mark,
>>>>>>>>> > >
>>>>>>>>> > > It may be caused by some overflow in the calculations
>>>>>>>>> somewhere due to your very large sizes and nonzeros but I could not see
>>>>>>>>> anything based on a quick inspection of the code. We seem to use double to
>>>>>>>>> store the counts which normally would be more than sufficient to hold the
>>>>>>>>> results without overflow. Unless somewhere there is a mistaken use of int
>>>>>>>>> that causes a problem.
>>>>>>>>> > >
>>>>>>>>> > > Just to confirm: You are running with with default double
>>>>>>>>> precision numbers and have used the configure option --with-64-bit-indices
>>>>>>>>> ?
>>>>>>>>> > >
>>>>>>>>> > > I see you are using MATMFFD as the operator and MPIAIJ as
>>>>>>>>> the matrix from which to build the preconditioner? This is not suppose to
>>>>>>>>> cause any difficulties since the complexity computation code uses the
>>>>>>>>> second matrix, that is the MPAIJ matrix to get the complexity information.
>>>>>>>>> > >
>>>>>>>>> > > There is definitely a bug but I am hard pressed to suggest
>>>>>>>>> how to find it since it seems only to be expressed in your giant runs.
>>>>>>>>> > >
>>>>>>>>> > > Barry
>>>>>>>>> > >
>>>>>>>>> > >
>>>>>>>>> > >
>>>>>>>>> > >
>>>>>>>>> > >
>>>>>>>>> > >> On Oct 15, 2019, at 9:16 PM, Mark Lohry via petsc-users <
>>>>>>>>> petsc-users at mcs.anl.gov> wrote:
>>>>>>>>> > >>
>>>>>>>>> > >> I'm running some larger unsteady problems and trying to eek
>>>>>>>>> out some better GAMG performance. As is, at very small time steps, ASM
>>>>>>>>> preconditioner with ILU(0) is maybe 20% more efficient than my naive GAMG
>>>>>>>>> setup, which gives me hope that some tuning of GAMG can give some
>>>>>>>>> advantage. Convergence overall seems quite good, and light years better
>>>>>>>>> than ASM/ILU at larger time steps.
>>>>>>>>> > >>
>>>>>>>>> > >> So looking through the manual and see a note that "grid
>>>>>>>>> complexity should be well under 2.0 and preferably around 1.3 or lower". I
>>>>>>>>> check ksp_view and see:
>>>>>>>>> > >> Complexity: grid = -40.5483
>>>>>>>>> > >>
>>>>>>>>> > >> Is something funny happening here?
>>>>>>>>> > >>
>>>>>>>>> > >> Pasting whole -ksp_view below:
>>>>>>>>> > >>
>>>>>>>>> > >> KSP Object: 1920 MPI processes
>>>>>>>>> > >> type: fgmres
>>>>>>>>> > >> restart=100, using Classical (unmodified) Gram-Schmidt
>>>>>>>>> Orthogonalization with no iterative refinement
>>>>>>>>> > >> happy breakdown tolerance 1e-30
>>>>>>>>> > >> maximum iterations=30, initial guess is zero
>>>>>>>>> > >> tolerances: relative=0.0001, absolute=1e-06, divergence=10.
>>>>>>>>> > >> right preconditioning
>>>>>>>>> > >> using UNPRECONDITIONED norm type for convergence test
>>>>>>>>> > >> PC Object: 1920 MPI processes
>>>>>>>>> > >> type: gamg
>>>>>>>>> > >> type is MULTIPLICATIVE, levels=20 cycles=v
>>>>>>>>> > >> Cycles per PCApply=1
>>>>>>>>> > >> Using externally compute Galerkin coarse grid matrices
>>>>>>>>> > >> GAMG specific options
>>>>>>>>> > >> Threshold for dropping small values in graph on each
>>>>>>>>> level = 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
>>>>>>>>> 0. 0. 0. 0. 0.
>>>>>>>>> > >> Threshold scaling factor for each level not specified
>>>>>>>>> = 1.
>>>>>>>>> > >> AGG specific options
>>>>>>>>> > >> Symmetric graph false
>>>>>>>>> > >> Number of levels to square graph 1
>>>>>>>>> > >> Number smoothing steps 0
>>>>>>>>> > >> Complexity: grid = -40.5483
>>>>>>>>> > >> Coarse grid solver -- level -------------------------------
>>>>>>>>> > >> KSP Object: (mg_coarse_) 1920 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_coarse_) 1920 MPI processes
>>>>>>>>> > >> type: bjacobi
>>>>>>>>> > >> number of blocks = 1920
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_coarse_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=1, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_coarse_sub_) 1 MPI processes
>>>>>>>>> > >> type: lu
>>>>>>>>> > >> out-of-place factorization
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> using diagonal shift on blocks to prevent zero pivot
>>>>>>>>> [INBLOCKS]
>>>>>>>>> > >> matrix ordering: nd
>>>>>>>>> > >> factor fill ratio given 5., needed 1.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=15, cols=15, bs=5
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=175, allocated nonzeros=175
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 3 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=15, cols=15, bs=5
>>>>>>>>> > >> total: nonzeros=175, allocated nonzeros=175
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 3 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=15, cols=15, bs=5
>>>>>>>>> > >> total: nonzeros=175, allocated nonzeros=175
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 3 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> Down solver (pre-smoother) on level 1
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_1_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_1_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_1_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_1_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=4240, cols=4240
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=64800, allocated nonzeros=64800
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 848 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=4240, cols=4240
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=64800, allocated nonzeros=64800
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 848 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=4240, cols=4240, bs=5
>>>>>>>>> > >> total: nonzeros=64800, allocated nonzeros=64800
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 848
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 2
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_2_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_2_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_2_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_2_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=4260, cols=4260
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=65200, allocated nonzeros=65200
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 852 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=4260, cols=4260
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=65200, allocated nonzeros=65200
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 852 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=4260, cols=4260, bs=5
>>>>>>>>> > >> total: nonzeros=65200, allocated nonzeros=65200
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 852
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 3
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_3_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_3_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_3_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_3_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5440, cols=5440
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=90950, allocated nonzeros=90950
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1088 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5440, cols=5440
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=90950, allocated nonzeros=90950
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1088 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=5440, cols=5440, bs=5
>>>>>>>>> > >> total: nonzeros=90950, allocated nonzeros=90950
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 1088
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 4
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_4_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_4_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_4_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_4_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5485, cols=5485
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=93075, allocated nonzeros=93075
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1097 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5485, cols=5485
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=93075, allocated nonzeros=93075
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1097 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=5485, cols=5485, bs=5
>>>>>>>>> > >> total: nonzeros=93075, allocated nonzeros=93075
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 1097
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 5
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_5_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_5_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_5_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_5_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5685, cols=5685
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=98925, allocated nonzeros=98925
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1137 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5685, cols=5685
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=98925, allocated nonzeros=98925
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1137 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=5685, cols=5685, bs=5
>>>>>>>>> > >> total: nonzeros=98925, allocated nonzeros=98925
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 1137
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 6
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_6_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_6_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_6_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_6_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5825, cols=5825
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=102325, allocated
>>>>>>>>> nonzeros=102325
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1165 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5825, cols=5825
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=102325, allocated nonzeros=102325
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1165 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=5825, cols=5825, bs=5
>>>>>>>>> > >> total: nonzeros=102325, allocated nonzeros=102325
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 1165
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 7
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_7_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_7_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_7_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_7_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5925, cols=5925
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=104925, allocated
>>>>>>>>> nonzeros=104925
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1185 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=5925, cols=5925
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=104925, allocated nonzeros=104925
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1185 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=5925, cols=5925, bs=5
>>>>>>>>> > >> total: nonzeros=104925, allocated nonzeros=104925
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 1185
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 8
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_8_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_8_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_8_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_8_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=6050, cols=6050
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=110200, allocated
>>>>>>>>> nonzeros=110200
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1210 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=6050, cols=6050
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=110200, allocated nonzeros=110200
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1210 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=6050, cols=6050, bs=5
>>>>>>>>> > >> total: nonzeros=110200, allocated nonzeros=110200
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 1210
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 9
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_9_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_9_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_9_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_9_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=6890, cols=6890
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=153200, allocated
>>>>>>>>> nonzeros=153200
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1378 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=6890, cols=6890
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=153200, allocated nonzeros=153200
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1378 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=6890, cols=6890, bs=5
>>>>>>>>> > >> total: nonzeros=153200, allocated nonzeros=153200
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 1378
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 10
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_10_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_10_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_10_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_10_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=7395, cols=7395
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=180025, allocated
>>>>>>>>> nonzeros=180025
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1479 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=7395, cols=7395
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=180025, allocated nonzeros=180025
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1479 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=7395, cols=7395, bs=5
>>>>>>>>> > >> total: nonzeros=180025, allocated nonzeros=180025
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 1479
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 11
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_11_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_11_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_11_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_11_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=8960, cols=8960
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=259800, allocated
>>>>>>>>> nonzeros=259800
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 1792 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=8960, cols=8960
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=259800, allocated nonzeros=259800
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 1792 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=8960, cols=8960, bs=5
>>>>>>>>> > >> total: nonzeros=259800, allocated nonzeros=259800
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 1792
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 12
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_12_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_12_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_12_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_12_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=1795, cols=1795
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=33275, allocated nonzeros=33275
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 359 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=1795, cols=1795
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=33275, allocated nonzeros=33275
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 359 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=11825, cols=11825, bs=5
>>>>>>>>> > >> total: nonzeros=403125, allocated nonzeros=403125
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 359
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 13
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_13_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_13_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_13_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_13_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=340, cols=340
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=3500, allocated nonzeros=3500
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 68 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=340, cols=340
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=3500, allocated nonzeros=3500
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 68 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=17210, cols=17210, bs=5
>>>>>>>>> > >> total: nonzeros=696850, allocated nonzeros=696850
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 68
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 14
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_14_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_14_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_14_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_14_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=125, cols=125
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=625, allocated nonzeros=625
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 25 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=125, cols=125
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=625, allocated nonzeros=625
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 25 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=29055, cols=29055, bs=5
>>>>>>>>> > >> total: nonzeros=1475675, allocated nonzeros=1475675
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 25
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 15
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_15_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_15_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_15_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_15_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=45, cols=45
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=225, allocated nonzeros=225
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 9 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=45, cols=45
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=225, allocated nonzeros=225
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 9 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=62935, cols=62935, bs=5
>>>>>>>>> > >> total: nonzeros=3939025, allocated nonzeros=3939025
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 9 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 16
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_16_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_16_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_16_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_16_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=55, cols=55
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=725, allocated nonzeros=725
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 11 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=55, cols=55
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=725, allocated nonzeros=725
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 11 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=205010, cols=205010, bs=5
>>>>>>>>> > >> total: nonzeros=14780300, allocated nonzeros=14780300
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using scalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 11
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 17
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_17_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_17_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_17_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_17_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=360, cols=360
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=14350, allocated nonzeros=14350
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 72 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=360, cols=360
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=14350, allocated nonzeros=14350
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 72 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=921310, cols=921310, bs=5
>>>>>>>>> > >> total: nonzeros=63203300, allocated nonzeros=63203300
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using scalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 72
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 18
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_18_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_18_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_18_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_18_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=2130, cols=2130
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=87950, allocated nonzeros=87950
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 426 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=2130, cols=2130
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=87950, allocated nonzeros=87950
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 426 nodes, limit used
>>>>>>>>> is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=4473930, cols=4473930, bs=5
>>>>>>>>> > >> total: nonzeros=232427300, allocated nonzeros=232427300
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using nonscalable MatPtAP() implementation
>>>>>>>>> > >> using I-node (on process 0) routines: found 426
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> Down solver (pre-smoother) on level 19
>>>>>>>>> -------------------------------
>>>>>>>>> > >> KSP Object: (mg_levels_19_) 1920 MPI processes
>>>>>>>>> > >> type: richardson
>>>>>>>>> > >> damping factor=1.
>>>>>>>>> > >> maximum iterations=1, nonzero initial guess
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_19_) 1920 MPI processes
>>>>>>>>> > >> type: asm
>>>>>>>>> > >> total subdomain blocks = 1920, amount of overlap = 0
>>>>>>>>> > >> restriction/interpolation type - RESTRICT
>>>>>>>>> > >> Local solve is same for all blocks, in the following
>>>>>>>>> KSP and PC objects:
>>>>>>>>> > >> KSP Object: (mg_levels_19_sub_) 1 MPI processes
>>>>>>>>> > >> type: preonly
>>>>>>>>> > >> maximum iterations=10000, initial guess is zero
>>>>>>>>> > >> tolerances: relative=1e-05, absolute=1e-50,
>>>>>>>>> divergence=10000.
>>>>>>>>> > >> left preconditioning
>>>>>>>>> > >> using NONE norm type for convergence test
>>>>>>>>> > >> PC Object: (mg_levels_19_sub_) 1 MPI processes
>>>>>>>>> > >> type: ilu
>>>>>>>>> > >> in-place factorization
>>>>>>>>> > >> 0 levels of fill
>>>>>>>>> > >> tolerance for zero pivot 2.22045e-14
>>>>>>>>> > >> matrix ordering: natural
>>>>>>>>> > >> factor fill ratio given 0., needed 0.
>>>>>>>>> > >> Factored matrix follows:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=179050, cols=179050
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=42562500, allocated
>>>>>>>>> nonzeros=42562500
>>>>>>>>> > >> total number of mallocs used during
>>>>>>>>> MatSetValues calls =0
>>>>>>>>> > >> using I-node routines: found 35810 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> linear system matrix = precond matrix:
>>>>>>>>> > >> Mat Object: 1 MPI processes
>>>>>>>>> > >> type: seqaij
>>>>>>>>> > >> rows=179050, cols=179050
>>>>>>>>> > >> package used to perform factorization: petsc
>>>>>>>>> > >> total: nonzeros=42562500, allocated nonzeros=42562500
>>>>>>>>> > >> total number of mallocs used during MatSetValues
>>>>>>>>> calls =0
>>>>>>>>> > >> using I-node routines: found 35810 nodes, limit
>>>>>>>>> used is 5
>>>>>>>>> > >> linear system matrix followed by preconditioner matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mffd
>>>>>>>>> > >> rows=347149550, cols=347149550
>>>>>>>>> > >> Matrix-free approximation:
>>>>>>>>> > >> err=1.49012e-08 (relative error in function
>>>>>>>>> evaluation)
>>>>>>>>> > >> Using wp compute h routine
>>>>>>>>> > >> Does not compute normU
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=347149550, cols=347149550, bs=5
>>>>>>>>> > >> total: nonzeros=86758607500, allocated
>>>>>>>>> nonzeros=86758607500
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls
>>>>>>>>> =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 35810
>>>>>>>>> nodes, limit used is 5
>>>>>>>>> > >> Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>> > >> linear system matrix followed by preconditioner matrix:
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mffd
>>>>>>>>> > >> rows=347149550, cols=347149550
>>>>>>>>> > >> Matrix-free approximation:
>>>>>>>>> > >> err=1.49012e-08 (relative error in function evaluation)
>>>>>>>>> > >> Using wp compute h routine
>>>>>>>>> > >> Does not compute normU
>>>>>>>>> > >> Mat Object: 1920 MPI processes
>>>>>>>>> > >> type: mpiaij
>>>>>>>>> > >> rows=347149550, cols=347149550, bs=5
>>>>>>>>> > >> total: nonzeros=86758607500, allocated nonzeros=86758607500
>>>>>>>>> > >> total number of mallocs used during MatSetValues calls =0
>>>>>>>>> > >> using I-node (on process 0) routines: found 35810 nodes,
>>>>>>>>> limit used is 5
>>>>>>>>> > >> Line search: Using full step: fnorm 2.025875581923e+03
>>>>>>>>> gnorm 2.801672254495e+00
>>>>>>>>> > >> 1 SNES Function norm 2.801672254495e+00
>>>>>>>>> > >
>>>>>>>>> >
>>>>>>>>>
>>>>>>>>>
>>>>
>>>> --
>>>> What most experimenters take for granted before they begin their
>>>> experiments is infinitely more interesting than any results to which their
>>>> experiments lead.
>>>> -- Norbert Wiener
>>>>
>>>> https://www.cse.buffalo.edu/~knepley/
>>>> <http://www.cse.buffalo.edu/~knepley/>
>>>>
>>>
>>
>> --
>> What most experimenters take for granted before they begin their
>> experiments is infinitely more interesting than any results to which their
>> experiments lead.
>> -- Norbert Wiener
>>
>> https://www.cse.buffalo.edu/~knepley/
>> <http://www.cse.buffalo.edu/~knepley/>
>>
>
--
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>
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