[petsc-users] negative grid complexity in GAMG
Matthew Knepley
knepley at gmail.com
Thu Oct 17 08:02:53 CDT 2019
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/>
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