[petsc-users] Problems imposing boundary conditions
Matthew Knepley
knepley at gmail.com
Tue Mar 7 11:21:18 CST 2017
On Tue, Mar 7, 2017 at 11:11 AM, Maximilian Hartig <imilian.hartig at gmail.com
> wrote:
>
> On 7 Mar 2017, at 16:29, Matthew Knepley <knepley at gmail.com> wrote:
>
> On Tue, Mar 7, 2017 at 3:28 AM, Maximilian Hartig <imilian.hartig at gmail.
> com> wrote:
>
>> It seems you are correct. In theory, the problem should not be over
>> constrained. It is 1/4 of a simple hollow cylinder geometry with rotational
>> symmetry around the z-axis. I restrict movement completely on the upper and
>> lower (z) end as well as movement in x- and y- direction respectively on
>> the symmetry planes.
>> I am not completely sure what I am looking at with the output of
>> -dm_petscsection_view. But these lines struck me as odd:
>>
>>
>> (5167) dim 3 offset 0 constrained 0 1 1 2
>> (5168) dim 3 offset 6 constrained 0 1 1 2
>> .
>> .
>> .
>> (5262) dim 3 offset 0 constrained 0 0 1 2
>> (5263) dim 3 offset 6 constrained 0 0 1 2
>>
>>
>> It seems that vertices that are part of the closures of both Face Sets
>> get restricted twice in their respective degree of freedom.
>>
>
> Yes, that is exactly what happens.
>
>
>> This does however also happen when restricting movement in x- direction
>> only for upper and lower faces. In that case without the solver producing
>> an error:
>> (20770) dim 3 offset 24 constrained 0 0
>> (20771) dim 3 offset 30 constrained 0 0
>> (20772) dim 3 offset 36 constrained 0 0
>> (20773) dim 3 offset 42 constrained 0 0
>>
>
> The fact that this does not SEGV is just luck.
>
> Now, I did not put in any guard against this because I was not sure what
> should happen. We could error if a local index is repeated, or
> we could ignore it. This seems unsafe if you try to constrain it with two
> different values, but there is no way for me to tell if the values are
> compatible. Thus I just believed whatever the user told me.
>
>
> What is the intention here? It would be straightforward to ignore
> duplicates I guess.
>
> Yes, ignoring duplicates would solve the problem then. I can think of no
> example where imposing two different Dirichlet BC on the same DOF of the
> same vertex would make sense (I might be wrong of course). That means the
> only issue is to determine wether the first or the second BC is the correct
> one to be imposed.
> I don’t know how I could filter out the vertices in question from the
> Label. I use GMSH to construct my meshes and could create a label for the
> edges without too much effort. But I cannot see an easy way to exclude them
> when imposing the BC.
> I tried to figure out where PETSC actually imposes the BC but got lost a
> bit in the source. Could you kindly point me towards the location?
>
It is in stages.
1) You make a structure with AddBoundary() that has a Label and function
for boundary values
2) The PetscSection gets created with stores which points have constraints
and which components they affect
3) When global Vecs are made, these constraints are left out
4) When local Vecs are made, they are left in
5) DMPlexInsertBoundaryValues() is called on local Vecs, and puts in the
values from your functions. This usually happens
when you copy the solutions values from the global Vec to a local Vec
to being assembly.
Thanks,
Matt
> Thanks,
> Max
>
>
>
> Thanks,
>
> Matt
>
>
>> Thanks,
>> Max
>>
>> On 6 Mar 2017, at 14:43, Matthew Knepley <knepley at gmail.com> wrote:
>>
>> On Mon, Mar 6, 2017 at 8:38 AM, Maximilian Hartig <imilian.hartig at gmail.c
>> om> wrote:
>>
>>> Of course, please find the source as well as the mesh attached below. I
>>> run with:
>>>
>>> -def_petscspace_order 2 -vel_petscspace_order 2 -snes_monitor
>>> -snes_converged_reason -ksp_converged_reason -ksp_monitor _true_residual
>>> -ksp_type fgmres -pc_type sor
>>>
>>
>> This sounds like over-constraining a point to me. I will try and run it
>> soon, but I have a full schedule this week. The easiest
>> way to see if this is happening should be to print out the Section that
>> gets made
>>
>> -dm_petscsection_view
>>
>> Thanks,
>>
>> Matt
>>
>>
>>> Thanks,
>>> Max
>>>
>>>
>>>
>>>
>>> On 4 Mar 2017, at 11:34, Sander Arens <Sander.Arens at ugent.be> wrote:
>>>
>>> Hmm, strange you also get the error in serial. Can you maybe send a
>>> minimal working which demonstrates the error?
>>>
>>> Thanks,
>>> Sander
>>>
>>> On 3 March 2017 at 23:07, Maximilian Hartig <imilian.hartig at gmail.com>
>>> wrote:
>>>
>>>> Yes Sander, your assessment is correct. I use DMPlex and specify the BC
>>>> using DMLabel. I do however get this error also when running in serial.
>>>>
>>>> Thanks,
>>>> Max
>>>>
>>>> On 3 Mar 2017, at 22:14, Matthew Knepley <knepley at gmail.com> wrote:
>>>>
>>>> On Fri, Mar 3, 2017 at 12:56 PM, Sander Arens <Sander.Arens at ugent.be>
>>>> wrote:
>>>>
>>>>> Max,
>>>>>
>>>>> I'm assuming you use DMPlex for your mesh? If so, did you only specify
>>>>> the faces in the DMLabel (and not vertices or edges). Do you get this error
>>>>> only in parallel?
>>>>>
>>>>> If so, I can confirm this bug. I submitted a pull request for this
>>>>> yesterday.
>>>>>
>>>>
>>>> Yep, I saw Sander's pull request. I will get in merged in tomorrow when
>>>> I get home to Houston.
>>>>
>>>> Thanks,
>>>>
>>>> Matt
>>>>
>>>>
>>>>> On 3 March 2017 at 18:43, Lukas van de Wiel <lukas.drinkt.thee at gmail.
>>>>> com> wrote:
>>>>>
>>>>>> You have apparently preallocated the non-zeroes of you matrix, and
>>>>>> the room was insufficient to accommodate all your equations.
>>>>>>
>>>>>> What happened after you tried:
>>>>>>
>>>>>> MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE)
>>>>>>
>>>>>>
>>>>>> Cheers
>>>>>> Lukas
>>>>>>
>>>>>> On Fri, Mar 3, 2017 at 6:37 PM, Maximilian Hartig <
>>>>>> imilian.hartig at gmail.com> wrote:
>>>>>>
>>>>>>> Hello,
>>>>>>>
>>>>>>> I am working on a transient structural FEM code with PETSc. I
>>>>>>> managed to create a slow but functioning program with the use of petscFE
>>>>>>> and a TS solver. The code runs fine until I try to restrict movement in all
>>>>>>> three spatial directions for one face. I then get the error which is
>>>>>>> attached below.
>>>>>>> So apparently DMPlexMatSetClosure tries to write/read beyond what
>>>>>>> was priorly allocated. I do however not call MatSeqAIJSetPreallocation
>>>>>>> myself in the code. So I’m unsure where to start looking for the bug. In my
>>>>>>> understanding, PETSc should know from the DM how much space to allocate.
>>>>>>> Could you kindly give me a hint?
>>>>>>>
>>>>>>> Thanks,
>>>>>>>
>>>>>>> Max
>>>>>>>
>>>>>>> 0 SNES Function norm 2.508668036663e-06
>>>>>>> [0]PETSC ERROR: --------------------- Error Message
>>>>>>> --------------------------------------------------------------
>>>>>>> [0]PETSC ERROR: Argument out of range
>>>>>>> [0]PETSC ERROR: New nonzero at (41754,5) caused a malloc
>>>>>>> Use MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE) to
>>>>>>> turn off this check
>>>>>>> [0]PETSC ERROR: See http://www.mcs.anl.gov/pet
>>>>>>> sc/documentation/faq.html for trouble shooting.
>>>>>>> [0]PETSC ERROR: Petsc Development GIT revision:
>>>>>>> v3.7.5-3223-g99077fc GIT Date: 2017-02-28 13:41:43 -0600
>>>>>>> [0]PETSC ERROR: ./S3 on a arch-linux-gnu-intel named XXXXXXX by
>>>>>>> hartig Fri Mar 3 17:55:57 2017
>>>>>>> [0]PETSC ERROR: Configure options PETSC_ARCH=arch-linux-gnu-intel
>>>>>>> --with-cc=/opt/intel/compilers_and_libraries/linux/mpi/intel64/bin/mpiicc
>>>>>>> --with-cxx=/opt/intel/compilers_and_libraries/linux/mpi/intel64/bin/mpiicpc
>>>>>>> --with-fc=/opt/intel/compilers_and_libraries/linux/mpi/intel64/bin/mpiifort
>>>>>>> --download-ml
>>>>>>> [0]PETSC ERROR: #1 MatSetValues_SeqAIJ() line 455 in
>>>>>>> /home/hartig/petsc/src/mat/impls/aij/seq/aij.c
>>>>>>> [0]PETSC ERROR: #2 MatSetValues() line 1270 in
>>>>>>> /home/hartig/petsc/src/mat/interface/matrix.c
>>>>>>> [0]PETSC ERROR: [0]ERROR in DMPlexMatSetClosure
>>>>>>> [0]mat for sieve point 60
>>>>>>> [0]mat row indices[0] = 41754
>>>>>>> [0]mat row indices[1] = 41755
>>>>>>> [0]mat row indices[2] = 41756
>>>>>>> [0]mat row indices[3] = 41760
>>>>>>> [0]mat row indices[4] = 41761
>>>>>>> [0]mat row indices[5] = 41762
>>>>>>> [0]mat row indices[6] = 41766
>>>>>>> [0]mat row indices[7] = -41768
>>>>>>> [0]mat row indices[8] = 41767
>>>>>>> [0]mat row indices[9] = 41771
>>>>>>> [0]mat row indices[10] = -41773
>>>>>>> [0]mat row indices[11] = 41772
>>>>>>> [0]mat row indices[12] = 41776
>>>>>>> [0]mat row indices[13] = 41777
>>>>>>> [0]mat row indices[14] = 41778
>>>>>>> [0]mat row indices[15] = 41782
>>>>>>> [0]mat row indices[16] = -41784
>>>>>>> [0]mat row indices[17] = 41783
>>>>>>> [0]mat row indices[18] = 261
>>>>>>> [0]mat row indices[19] = -263
>>>>>>> [0]mat row indices[20] = 262
>>>>>>> [0]mat row indices[21] = 24318
>>>>>>> [0]mat row indices[22] = 24319
>>>>>>> [0]mat row indices[23] = 24320
>>>>>>> [0]mat row indices[24] = -7
>>>>>>> [0]mat row indices[25] = -8
>>>>>>> [0]mat row indices[26] = 6
>>>>>>> [0]mat row indices[27] = 1630
>>>>>>> [0]mat row indices[28] = -1632
>>>>>>> [0]mat row indices[29] = 1631
>>>>>>> [0]mat row indices[30] = 41757
>>>>>>> [0]mat row indices[31] = 41758
>>>>>>> [0]mat row indices[32] = 41759
>>>>>>> [0]mat row indices[33] = 41763
>>>>>>> [0]mat row indices[34] = 41764
>>>>>>> [0]mat row indices[35] = 41765
>>>>>>> [0]mat row indices[36] = 41768
>>>>>>> [0]mat row indices[37] = 41769
>>>>>>> [0]mat row indices[38] = 41770
>>>>>>> [0]mat row indices[39] = 41773
>>>>>>> [0]mat row indices[40] = 41774
>>>>>>> [0]mat row indices[41] = 41775
>>>>>>> [0]mat row indices[42] = 41779
>>>>>>> [0]mat row indices[43] = 41780
>>>>>>> [0]mat row indices[44] = 41781
>>>>>>> [0]mat row indices[45] = 41784
>>>>>>> [0]mat row indices[46] = 41785
>>>>>>> [0]mat row indices[47] = 41786
>>>>>>> [0]mat row indices[48] = 263
>>>>>>> [0]mat row indices[49] = 264
>>>>>>> [0]mat row indices[50] = 265
>>>>>>> [0]mat row indices[51] = 24321
>>>>>>> [0]mat row indices[52] = 24322
>>>>>>> [0]mat row indices[53] = 24323
>>>>>>> [0]mat row indices[54] = 5
>>>>>>> [0]mat row indices[55] = 6
>>>>>>> [0]mat row indices[56] = 7
>>>>>>> [0]mat row indices[57] = 1632
>>>>>>> [0]mat row indices[58] = 1633
>>>>>>> [0]mat row indices[59] = 1634
>>>>>>> [0] 1.29801 0.0998428 -0.275225 1.18171 -0.0093323 0.055045 1.18146
>>>>>>> 0.00525527 -0.11009 -0.588378 0.264666 -0.0275225 -2.39586 -0.210511
>>>>>>> 0.22018 -0.621071 0.0500786 0.137613 -0.180869 -0.0974804 0.0344031
>>>>>>> -0.0302673 -0.09 0. -0.145175 -0.00383346 -0.00688063 0.300442 -0.00868618
>>>>>>> -0.0275225 8.34577e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> [0] 0.0998428 0.590663 -0.0320009 0.0270594 0.360043 0.0297282
>>>>>>> -0.0965489 0.270936 -0.0652389 0.32647 -0.171351 -0.00845384 -0.206902
>>>>>>> -0.657189 0.0279137 0.0500786 -0.197561 -0.0160508 -0.12748 -0.138996
>>>>>>> 0.0408591 -0.06 -0.105935 0.0192308 0.00161757 -0.0361182 0.0042968
>>>>>>> -0.0141372 0.0855084 -0.000284088 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0.
>>>>>>> [0] -0.275225 -0.0320009 0.527521 -0.055045 0.0285918 0.234796
>>>>>>> -0.165135 -0.0658071 0.322754 0.0275225 -0.0207062 -0.114921 0.33027
>>>>>>> 0.0418706 -0.678455 0.137613 -0.0160508 -0.235826 0.0344031 0.0312437
>>>>>>> -0.0845583 0. 0.0288462 -0.0302673 0.00688063 0.00443884 -0.0268103
>>>>>>> -0.0412838 -0.000426133 0.0857668 0. 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11
>>>>>>> [0] 1.18171 0.0270594 -0.055045 1.29651 -0.0821157 0.275225 1.1468
>>>>>>> -0.0675282 0.11009 -0.637271 0.141058 -0.137613 -2.37741 -0.0649437
>>>>>>> -0.22018 -0.588378 0.24647 0.0275225 -0.140937 -0.00838243 0.00688063
>>>>>>> -0.0175533 -0.09 0. -0.16373 -0.0747355 -0.0344031 0.300255 -0.026882
>>>>>>> 0.0275225 4.17288e-11 0. 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11
>>>>>>> 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11
>>>>>>> 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> [0] -0.0093323 0.360043 0.0285918 -0.0821157 0.585404 -0.0263191
>>>>>>> -0.205724 0.149643 0.0652389 0.141058 -0.254263 0.0452109 0.011448
>>>>>>> -0.592598 -0.0279137 0.344666 -0.171351 -0.0207062 0.00616654 -0.0212853
>>>>>>> -0.0115868 -0.06 -0.0614365 -0.0192308 -0.104736 -0.0790071 -0.0335691
>>>>>>> -0.041431 0.084851 0.000284088 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0.
>>>>>>> [0] 0.055045 0.0297282 0.234796 0.275225 -0.0263191 0.526019
>>>>>>> 0.165135 0.0658071 0.288099 -0.137613 0.0452109 -0.252027 -0.33027
>>>>>>> -0.0418706 -0.660001 -0.0275225 -0.00845384 -0.114921 -0.00688063
>>>>>>> -0.0117288 -0.0225723 0. -0.0288462 -0.0175533 -0.0344031 -0.0239537
>>>>>>> -0.0674185 0.0412838 0.000426133 0.085579 0. 0. 4.17288e-11 0. 0.
>>>>>>> 8.34577e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11
>>>>>>> [0] 1.18146 -0.0965489 -0.165135 1.1468 -0.205724 0.165135 3.70665
>>>>>>> 0.626591 3.1198e-14 -2.37741 0.0332522 -0.275225 -2.44501 -0.417727
>>>>>>> 4.66207e-17 -2.39586 -0.148706 0.275225 0.283843 0.0476669 0.0137613
>>>>>>> 0.00972927 0.06 0. 0.288268 0.0567649 -0.0137613 0.601523 0.0444318
>>>>>>> -1.2387e-17 4.17288e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> [0] 0.00525527 0.270936 -0.0658071 -0.0675282 0.149643 0.0658071
>>>>>>> 0.626591 1.29259 -0.02916 -0.0867478 -0.592598 -0.0413024 -0.417727
>>>>>>> -0.829208 6.46318e-18 -0.268706 -0.657189 0.0413024 0.03402 0.0715157
>>>>>>> 0.0179272 0.04 0.0340524 1.77708e-18 0.0704117 0.0870061 0.0112328
>>>>>>> 0.0644318 0.17325 -1.41666e-19 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 8.34577e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0.
>>>>>>> [0] -0.11009 -0.0652389 0.322754 0.11009 0.0652389 0.288099
>>>>>>> 3.12405e-14 -0.02916 1.21876 -0.275225 -0.0284819 -0.660001 9.50032e-17
>>>>>>> 9.55728e-18 -0.727604 0.275225 0.0284819 -0.678455 0.055045 0.0279687
>>>>>>> 0.0250605 0. 1.71863e-18 0.00972927 -0.055045 0.00119132 0.0294863
>>>>>>> -1.47451e-17 -1.90582e-19 0.172172 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0.
>>>>>>> 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11
>>>>>>> [0] -0.588378 0.32647 0.0275225 -0.637271 0.141058 -0.137613
>>>>>>> -2.37741 -0.0867478 -0.275225 3.68138 0.0265907 3.13395e-14 1.1468
>>>>>>> -0.107528 0.11009 1.18171 0.00886356 -3.13222e-14 -1.06248 -0.175069
>>>>>>> 0.158254 0.00657075 -0.03 0. 0.152747 -0.00526446 0.0344031 -1.50368
>>>>>>> -0.0983732 0.0825675 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 8.34577e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> [0] 0.264666 -0.171351 -0.0207062 0.141058 -0.254263 0.0452109
>>>>>>> 0.0332522 -0.592598 -0.0284819 0.0265907 1.20415 -0.0932626 -0.165724
>>>>>>> 0.149643 0.0524184 0.00886356 0.360043 0.0419805 -0.131422 -0.326529
>>>>>>> 0.0132913 -0.02 0.0229976 -0.00641026 -0.0152645 0.0405681 -0.00489246
>>>>>>> -0.14202 -0.432665 0.000852265 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0.
>>>>>>> [0] -0.0275225 -0.00845384 -0.114921 -0.137613 0.0452109 -0.252027
>>>>>>> -0.275225 -0.0413024 -0.660001 3.13785e-14 -0.0932626 1.19349 0.165135
>>>>>>> 0.0786276 0.288099 -3.12866e-14 0.0163395 0.234796 0.116971 0.0128652
>>>>>>> -0.322147 0. -0.00961538 0.00657075 0.0344031 -0.00168733 0.0564359
>>>>>>> 0.123851 0.0012784 -0.430298 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 8.34577e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11
>>>>>>> [0] -2.39586 -0.206902 0.33027 -2.37741 0.011448 -0.33027 -2.44501
>>>>>>> -0.417727 6.38053e-17 1.1468 -0.165724 0.165135 4.88671 0.435454 0. 1.18146
>>>>>>> -0.0565489 -0.165135 0.307839 0.0658628 -0.0412838 -0.00807774 0.18 0.
>>>>>>> 0.303413 0.038569 0.0412838 -0.599871 0.115568 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0.
>>>>>>> [0] -0.210511 -0.657189 0.0418706 -0.0649437 -0.592598 -0.0418706
>>>>>>> -0.417727 -0.829208 6.30468e-18 -0.107528 0.149643 0.0786276 0.435454
>>>>>>> 1.64686 0. -0.0347447 0.270936 -0.0786276 0.0613138 0.111396 -0.0100415
>>>>>>> 0.12 -0.0282721 0. 0.043118 0.0959058 0.0100415 0.175568 -0.167469 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 8.34577e-11 0. 0. 4.17288e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.04322e-11 0.
>>>>>>> [0] 0.22018 0.0279137 -0.678455 -0.22018 -0.0279137 -0.660001
>>>>>>> 4.70408e-17 7.53383e-18 -0.727604 0.11009 0.0524184 0.288099 0. 0. 1.4519
>>>>>>> -0.11009 -0.0524184 0.322754 -0.0275225 -0.00669434 0.0931634 0. 0.
>>>>>>> -0.00807774 0.0275225 0.00669434 0.0887375 0. 0. -0.17052 0. 0. 4.17288e-11
>>>>>>> 0. 0. 4.17288e-11 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0.
>>>>>>> 0. 4.17288e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0.
>>>>>>> 0. -1.04322e-11
>>>>>>> [0] -0.621071 0.0500786 0.137613 -0.588378 0.344666 -0.0275225
>>>>>>> -2.39586 -0.268706 0.275225 1.18171 0.00886356 -3.12954e-14 1.18146
>>>>>>> -0.0347447 -0.11009 3.64748 0.0265907 3.12693e-14 0.152935 0.0174804
>>>>>>> -0.0344031 0.00233276 -0.03 0. -1.0575 -0.0704425 -0.158254 -1.50311
>>>>>>> -0.0437857 -0.0825675 2.08644e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> [0] 0.0500786 -0.197561 -0.0160508 0.24647 -0.171351 -0.00845384
>>>>>>> -0.148706 -0.657189 0.0284819 0.00886356 0.360043 0.0163395 -0.0565489
>>>>>>> 0.270936 -0.0524184 0.0265907 1.08549 0.0349425 0.00748035 0.0412255
>>>>>>> -0.00239755 -0.02 0.00816465 0.00641026 -0.0540894 -0.309066 -0.00600133
>>>>>>> -0.0601388 -0.430693 -0.000852265 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0.
>>>>>>> [0] 0.137613 -0.0160508 -0.235826 0.0275225 -0.0207062 -0.114921
>>>>>>> 0.275225 0.0413024 -0.678455 -3.13299e-14 0.0419805 0.234796 -0.165135
>>>>>>> -0.0786276 0.322754 3.12753e-14 0.0349425 1.15959 -0.0344031 -0.00560268
>>>>>>> 0.0566238 0. 0.00961538 0.00233276 -0.116971 -0.00557519 -0.317157
>>>>>>> -0.123851 -0.0012784 -0.429734 0. 0. 2.08644e-11 0. 0. 4.17288e-11 0. 0.
>>>>>>> 4.17288e-11 0. 0. 4.17288e-11 0. 0. 4.17288e-11 0. 0. 8.34577e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11
>>>>>>> [0] -0.180869 -0.12748 0.0344031 -0.140937 0.00616654 -0.00688063
>>>>>>> 0.283843 0.03402 0.055045 -1.06248 -0.131422 0.116971 0.307839 0.0613138
>>>>>>> -0.0275225 0.152935 0.00748035 -0.0344031 0.479756 0.112441 -0.103209
>>>>>>> 0.00698363 0.03 0. -0.14792 -0.0238335 -0.00688063 0.300855 0.0313138
>>>>>>> -0.0275225 -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. 1.56483e-11 0. 0.
>>>>>>> 2.60805e-12 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0. 0.
>>>>>>> [0] -0.0974804 -0.138996 0.0312437 -0.00838243 -0.0212853 -0.0117288
>>>>>>> 0.0476669 0.0715157 0.0279687 -0.175069 -0.326529 0.0128652 0.0658628
>>>>>>> 0.111396 -0.00669434 0.0174804 0.0412255 -0.00560268 0.112441 0.197005
>>>>>>> -0.0360388 0.02 0.0244427 -0.00641026 -0.0283824 -0.045728 -0.00531859
>>>>>>> 0.0458628 0.0869535 -0.000284088 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> 1.56483e-11 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0.
>>>>>>> [0] 0.0344031 0.0408591 -0.0845583 0.00688063 -0.0115868 -0.0225723
>>>>>>> 0.0137613 0.0179272 0.0250605 0.158254 0.0132913 -0.322147 -0.0412838
>>>>>>> -0.0100415 0.0931634 -0.0344031 -0.00239755 0.0566238 -0.103209 -0.0360388
>>>>>>> 0.190822 0. -0.00961538 0.00698363 0.00688063 -0.00197142 -0.029556
>>>>>>> -0.0412838 -0.000426133 0.0861797 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0.
>>>>>>> 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0.
>>>>>>> 0. 1.56483e-11 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0. 0. 2.60805e-12
>>>>>>> [0] -0.0302673 -0.06 0. -0.0175533 -0.06 0. 0.00972927 0.04 0.
>>>>>>> 0.00657075 -0.02 0. -0.00807774 0.12 0. 0.00233276 -0.02 0. 0.00698363 0.02
>>>>>>> 0. 0.0279492 0. 0. 0.00274564 0.02 0. -0.000412882 -0.04 0. -1.04322e-11 0.
>>>>>>> 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0.
>>>>>>> 0. -1.56483e-11 0. 0. 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12 0. 0.
>>>>>>> 2.60805e-12 0. 0.
>>>>>>> [0] -0.09 -0.105935 0.0288462 -0.09 -0.0614365 -0.0288462 0.06
>>>>>>> 0.0340524 3.0201e-18 -0.03 0.0229976 -0.00961538 0.18 -0.0282721 0. -0.03
>>>>>>> 0.00816465 0.00961538 0.03 0.0244427 -0.00961538 0. 0.097822 0. 0.03
>>>>>>> 0.00960973 0.00961538 -0.06 -0.00144509 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12 0. 0.
>>>>>>> 2.60805e-12 0.
>>>>>>> [0] 0. 0.0192308 -0.0302673 0. -0.0192308 -0.0175533 0. 1.8315e-18
>>>>>>> 0.00972927 0. -0.00641026 0.00657075 0. 0. -0.00807774 0. 0.00641026
>>>>>>> 0.00233276 0. -0.00641026 0.00698363 0. 0. 0.0279492 0. 0.00641026
>>>>>>> 0.00274564 0. 0. -0.000412882 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12 0. 0. 2.60805e-12
>>>>>>> [0] -0.145175 0.00161757 0.00688063 -0.16373 -0.104736 -0.0344031
>>>>>>> 0.288268 0.0704117 -0.055045 0.152747 -0.0152645 0.0344031 0.303413
>>>>>>> 0.043118 0.0275225 -1.0575 -0.0540894 -0.116971 -0.14792 -0.0283824
>>>>>>> 0.00688063 0.00274564 0.03 0. 0.466478 0.0442066 0.103209 0.300667 0.013118
>>>>>>> 0.0275225 -1.56483e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0. 2.60805e-12 0. 0.
>>>>>>> 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12 0. 0.
>>>>>>> [0] -0.00383346 -0.0361182 0.00443884 -0.0747355 -0.0790071
>>>>>>> -0.0239537 0.0567649 0.0870061 0.00119132 -0.00526446 0.0405681 -0.00168733
>>>>>>> 0.038569 0.0959058 0.00669434 -0.0704425 -0.309066 -0.00557519 -0.0238335
>>>>>>> -0.045728 -0.00197142 0.02 0.00960973 0.00641026 0.0442066 0.150534
>>>>>>> 0.0141688 0.018569 0.0862961 0.000284088 0. -1.56483e-11 0. 0. -1.04322e-11
>>>>>>> 0. 0. -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11
>>>>>>> 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12 0.
>>>>>>> [0] -0.00688063 0.0042968 -0.0268103 -0.0344031 -0.0335691
>>>>>>> -0.0674185 -0.0137613 0.0112328 0.0294863 0.0344031 -0.00489246 0.0564359
>>>>>>> 0.0412838 0.0100415 0.0887375 -0.158254 -0.00600133 -0.317157 -0.00688063
>>>>>>> -0.00531859 -0.029556 0. 0.00961538 0.00274564 0.103209 0.0141688 0.177545
>>>>>>> 0.0412838 0.000426133 0.0859919 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> 2.60805e-12 0. 0. 2.60805e-12 0. 0. 1.56483e-11 0. 0. 2.60805e-12
>>>>>>> [0] 0.300442 -0.0141372 -0.0412838 0.300255 -0.041431 0.0412838
>>>>>>> 0.601523 0.0644318 -1.72388e-17 -1.50368 -0.14202 0.123851 -0.599871
>>>>>>> 0.175568 0. -1.50311 -0.0601388 -0.123851 0.300855 0.0458628 -0.0412838
>>>>>>> -0.000412882 -0.06 0. 0.300667 0.018569 0.0412838 1.80333 0.0132953 0.
>>>>>>> -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.04322e-11 0. 0. 2.60805e-12 0. 0. 2.60805e-12 0. 0.
>>>>>>> 2.60805e-12 0. 0. 1.56483e-11 0. 0.
>>>>>>> [0] -0.00868618 0.0855084 -0.000426133 -0.026882 0.084851
>>>>>>> 0.000426133 0.0444318 0.17325 -1.17738e-19 -0.0983732 -0.432665 0.0012784
>>>>>>> 0.115568 -0.167469 0. -0.0437857 -0.430693 -0.0012784 0.0313138 0.0869535
>>>>>>> -0.000426133 -0.04 -0.00144509 0. 0.013118 0.0862961 0.000426133 0.0132953
>>>>>>> 0.515413 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0.
>>>>>>> -1.04322e-11 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0. 2.60805e-12 0. 0.
>>>>>>> 2.60805e-12 0. 0. 2.60805e-12 0. 0. 1.56483e-11 0.
>>>>>>> [0] -0.0275225 -0.000284088 0.0857668 0.0275225 0.000284088 0.085579
>>>>>>> -1.41488e-17 -8.91502e-20 0.172172 0.0825675 0.000852265 -0.430298 0. 0.
>>>>>>> -0.17052 -0.0825675 -0.000852265 -0.429734 -0.0275225 -0.000284088
>>>>>>> 0.0861797 0. 0. -0.000412882 0.0275225 0.000284088 0.0859919 0. 0. 0.515276
>>>>>>> 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.56483e-11 0. 0. -1.04322e-11
>>>>>>> 0. 0. -1.04322e-11 0. 0. -1.04322e-11 0. 0. 2.60805e-12 0. 0. 2.60805e-12
>>>>>>> 0. 0. 2.60805e-12 0. 0. 1.56483e-11
>>>>>>> [0] -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0.
>>>>>>> [0] 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0.
>>>>>>> [0] 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10
>>>>>>> [0] -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0.
>>>>>>> -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0.
>>>>>>> [0] 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0.
>>>>>>> -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0.
>>>>>>> [0] 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0.
>>>>>>> -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10
>>>>>>> [0] -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0.
>>>>>>> -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0.
>>>>>>> [0] 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0.
>>>>>>> -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0.
>>>>>>> [0] 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0.
>>>>>>> -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10
>>>>>>> [0] -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0.
>>>>>>> [0] 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0.
>>>>>>> [0] 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -1.06316e-05 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10
>>>>>>> [0] -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0.
>>>>>>> [0] 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0.
>>>>>>> [0] 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0. -2.65789e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -1.06316e-05 0. 0. -5.31578e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 2.65789e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 1.32894e-09 0. 0. 2.65789e-09 0. 0. 5.31578e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10
>>>>>>> [0] -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0.
>>>>>>> [0] 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0.
>>>>>>> [0] 0. 0. -2.65789e-06 0. 0. -5.31578e-06 0. 0. -5.31578e-06 0. 0.
>>>>>>> -5.31578e-06 0. 0. -5.31578e-06 0. 0. -1.06316e-05 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-09 0. 0.
>>>>>>> 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0. 2.65789e-09 0. 0.
>>>>>>> 5.31578e-09 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10
>>>>>>> [0] 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. -1.99342e-06 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10 0. 0.
>>>>>>> [0] 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. -1.99342e-06 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10 0.
>>>>>>> [0] 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. -1.99342e-06 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10
>>>>>>> [0] 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -1.99342e-06 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10 0. 0.
>>>>>>> [0] 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -1.99342e-06 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10 0.
>>>>>>> [0] 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.99342e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -1.99342e-06 0. 0. -3.32236e-07 0. 0. -3.32236e-07 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 1.66118e-10
>>>>>>> [0] 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -1.99342e-06 0. 0. -3.32236e-07 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0.
>>>>>>> 1.66118e-10 0. 0.
>>>>>>> [0] 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -1.99342e-06 0. 0. -3.32236e-07 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0.
>>>>>>> 1.66118e-10 0.
>>>>>>> [0] 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0.
>>>>>>> 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -1.99342e-06 0. 0. -3.32236e-07 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. -6.64472e-10 0. 0. -9.96708e-10 0. 0. -9.96708e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 9.96708e-10 0. 0.
>>>>>>> 1.66118e-10
>>>>>>> [0] 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -1.99342e-06 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 9.96708e-10 0. 0.
>>>>>>> [0] 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -1.99342e-06 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 9.96708e-10 0.
>>>>>>> [0] 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0. 1.99342e-06 0. 0.
>>>>>>> 1.32894e-06 0. 0. 1.32894e-06 0. 0. 1.32894e-06 0. 0. -3.32236e-07 0. 0.
>>>>>>> -3.32236e-07 0. 0. -3.32236e-07 0. 0. -1.99342e-06 0. 0. -9.96708e-10 0. 0.
>>>>>>> -9.96708e-10 0. 0. -9.96708e-10 0. 0. -6.64472e-10 0. 0. -6.64472e-10 0. 0.
>>>>>>> -6.64472e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0. 1.66118e-10 0. 0.
>>>>>>> 9.96708e-10
>>>>>>> [0]PETSC ERROR: #3 DMPlexMatSetClosure() line 5480 in
>>>>>>> /home/hartig/petsc/src/dm/impls/plex/plex.c
>>>>>>> [0]PETSC ERROR: #4 DMPlexComputeJacobian_Internal() line 2301 in
>>>>>>> /home/hartig/petsc/src/snes/utils/dmplexsnes.c
>>>>>>> [0]PETSC ERROR: #5 DMPlexTSComputeIJacobianFEM() line 233 in
>>>>>>> /home/hartig/petsc/src/ts/utils/dmplexts.c
>>>>>>> [0]PETSC ERROR: #6 TSComputeIJacobian_DMLocal() line 131 in
>>>>>>> /home/hartig/petsc/src/ts/utils/dmlocalts.c
>>>>>>> [0]PETSC ERROR: #7 TSComputeIJacobian() line 882 in
>>>>>>> /home/hartig/petsc/src/ts/interface/ts.c
>>>>>>> [0]PETSC ERROR: #8 SNESTSFormJacobian_Theta() line 515 in
>>>>>>> /home/hartig/petsc/src/ts/impls/implicit/theta/theta.c
>>>>>>> [0]PETSC ERROR: #9 SNESTSFormJacobian() line 5044 in
>>>>>>> /home/hartig/petsc/src/ts/interface/ts.c
>>>>>>> [0]PETSC ERROR: #10 SNESComputeJacobian() line 2276 in
>>>>>>> /home/hartig/petsc/src/snes/interface/snes.c
>>>>>>> [0]PETSC ERROR: #11 SNESSolve_NEWTONLS() line 222 in
>>>>>>> /home/hartig/petsc/src/snes/impls/ls/ls.c
>>>>>>> [0]PETSC ERROR: #12 SNESSolve() line 3967 in
>>>>>>> /home/hartig/petsc/src/snes/interface/snes.c
>>>>>>> [0]PETSC ERROR: #13 TS_SNESSolve() line 171 in
>>>>>>> /home/hartig/petsc/src/ts/impls/implicit/theta/theta.c
>>>>>>> [0]PETSC ERROR: #14 TSStep_Theta() line 211 in
>>>>>>> /home/hartig/petsc/src/ts/impls/implicit/theta/theta.c
>>>>>>> [0]PETSC ERROR: #15 TSStep() line 3809 in
>>>>>>> /home/hartig/petsc/src/ts/interface/ts.c
>>>>>>>
>>>>>>>
>>>>>>
>>>>>
>>>>
>>>>
>>>> --
>>>> 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
>>>>
>>>>
>>>>
>>>
>>>
>>>
>>
>>
>> --
>> 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
>>
>>
>>
>
>
> --
> 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
>
>
>
--
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
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