SNES Problem
Barry Smith
bsmith at mcs.anl.gov
Tue Mar 14 14:11:13 CST 2006
> Hmm.. Ok so I could use my back-euler SNES implementation with my old
> timestep calculation function (using time-accurate timestep)? And it
> might work better.
Nisse,
First I'd like to see the PETSc rk code behaving pretty much the
same as your RK (then move onto the implicit code). Do I understand
that the PETSc rk code goes "non-physical" while your RK does not?
If so, I was suggesting putting in YOUR timestep control into the
PETSc rk (I listed the file below). Once the PETSc rk behaves like
your rk we can move onto the implicit code. Reason: I want to confirm
that the basic "translation" to PETSc is working, before dealing
with the implicitness (which introduces its own difficulties).
Barry
On Tue, 14 Mar 2006, Nils Erik Svangård wrote:
>>> Yes, there is a difference between the old 3-stage RK-solver and the
>>> SNESsolver using RK. In the old a timestep was calculatade for each
>> ^^^^^^^^^^^^^^^
>> Are you using PETSc's explicit RK? If so that does not use SNES.
>>
>
> Sorry, I meant TS.
>
>>> cell based on a stability criteria and if chosen it could run in
>>> time-accurate mode eg. the timestep is the same for each cell, in SNES
>> ^^^^^^^^^
>> Do you mean for backward Euler for the explicit RK? Or both?
>
> Sorry again, using TS I use the same size of the timestep on every
> cell (both when trying use back-euler and RK).
> In my old 3-stage RK I can use both variable timestep and
> time-accurate timestep.
> In my seperate back-euler implementation using SNES I use the same
> timestep on every cell.
>
>>
>>> I use a timestep that is the same for all cells and
>>> changes only if it returns non-physical answers or the solution diverges.
>>
>> I think you need to put the "proper" computation of the time-step
>> based on the stability criteria that you have in the "old" code.
>> Unfortunately this is currently hardwired in src/ts/impls/explicit/rk/rk.c
>> (search for "Computing next stepsize"). I think you need to use the minimum
>> of the timestep computed here and what is needed for the "stability criteria".
>>
> Hmm.. Ok so I could use my back-euler SNES implementation with my old
> timestep calculation function (using time-accurate timestep)? And it
> might work better.
>
>
> Thanks
> /nisse
>
>>>
>>> Another interesting observation is that when using back euler at the
>>> moment when it bugs out petsc has assigned neigboring cells pressure
>>> values that differs about 1 ATM, which is a very non physical value,
>>
>> Likely some stability problem.
>>
>> Barry
>>
>>> but I have no clue as to why petsc want such a value in thesolution.
>>>
>>> /nisse
>>>
>>> On 3/3/06, Barry Smith <bsmith at mcs.anl.gov> wrote:
>>>>
>>>> There must be a difference between the two RKs. The initial
>>>> timestep it uses, or algorithm for changing time step or slight
>>>> difference in algorithms?
>>>>
>>>> Barry
>>>>
>>>> On Fri, 3 Mar 2006, Nils Erik Svangård wrote:
>>>>
>>>>> A interesting thing is when I change TS_BEULER to TS_RUNGE_KUTTA the
>>>>> solver exits fast due to the non physical values. My original solver
>>>>> is a 3-step Runge-Kutta which works flawlessly.
>>>>>
>>>>> The error when running RK:
>>>>>
>>>>> ./ImplicitG3D on a linux-gnu named sethnx004.vac.com by yy26539 Fri
>>>>> Mar 3 10:31:27 2006
>>>>> Libraries linked from /home/yy26539/work/NISSE/petsc-2.3.0/lib/linux-gnu
>>>>> Configure run at Thu Oct 13 08:23:56 2005
>>>>> Configure options --with-cc=gcc --with-fc="f77 -N109"
>>>>> --download-mpich=1 --download-mpich-pm=gforker
>>>>> --download-f-blas-lapack=1 --with-shared=0
>>>>> -----------------------------------------------------------------------
>>>>> [0]PETSC ERROR: Caught signal number 8 FPE: Floating Point
>>>>> Exception,probably divide by zero
>>>>> [0]PETSC ERROR: Try option -start_in_debugger or -on_error_attach_debugger
>>>>> [0]PETSC ERROR: likely location of problem given in stack below
>>>>> [0]PETSC ERROR: --------------- Stack Frames ---------------
>>>>> [0]PETSC ERROR: Note: The EXACT line numbers in the stack are not available,
>>>>> [0]PETSC ERROR: INSTEAD the line number of the start of the function
>>>>> [0]PETSC ERROR: is given.
>>>>> [0]PETSC ERROR: [0] TS user right-hand-side function line 0 unknownunknown
>>>>> [0]PETSC ERROR: [0] TSComputeRHSFunction line 282 src/ts/interface/ts.c
>>>>> [0]PETSC ERROR: [0] TSRkqs line 256 src/ts/impls/explicit/rk/rk.c
>>>>> [0]PETSC ERROR: [0] TSStep_Rk line 322 src/ts/impls/explicit/rk/rk.c
>>>>> [0]PETSC ERROR: [0] TSStep line 1520 src/ts/interface/ts.c
>>>>> [0]PETSC ERROR: --------------------------------------------
>>>>> [0]PETSC ERROR: User provided function() line 0 in unknown directory
>>>>> unknown file
>>>>> [0]PETSC ERROR: Signal received!
>>>>> [0]PETSC ERROR: !
>>>>> aborting job:
>>>>> application called MPI_Abort(MPI_COMM_WORLD, 59) - process 0
>>>>>
>>>>> On 3/3/06, Nils Erik Svangård <nilserik at gmail.com> wrote:
>>>>>> Hello again,
>>>>>>
>>>>>>> Is it just not compiling because PETSC_ERR_ARG_DOMAIN is not
>>>>>>> defined? Or does it still not work even when you have put the number in?
>>>>>>> What is the error? Or did you get it all working with SNES?
>>>>>>>
>>>>>>
>>>>>>
>>>>>> It is not compiling because PETSC_ERR_ARG_DOMAIN is not defined:
>>>>>>
>>>>>> error on line 585 of SNESG3D2.F: data type is undefined for variable
>>>>>> PETSC_ERR_ARG_DOMAIN
>>>>>>
>>>>>> I tried putting a number in, then it compiles but complains while
>>>>>> linking that the Push() and Pop() functions is not defined. I made a
>>>>>> workaround by adding a variable in a common block and setting it
>>>>>> before returning from a non physical value in the FormFunction. Now I
>>>>>> can compile and when there is a non-physical value it returns and
>>>>>> resumes with a smaller timestep.
>>>>>> SNES still give non physical values which are hard to add checks for
>>>>>> in the program (e.g sqrt(RO(L)-RO(L+1))).
>>>>>>
>>>>>> Did I understand correctly that SNES does a linesearch and probably
>>>>>> goes for a solution which isnt the one I looking for? Does SNES use
>>>>>> the linesearch algorithm when I use -snes_mf (which I use)?
>>>>>>
>>>>>>> It may work automatically with TS; you would just set TS with a
>>>>>>> smaller timestep and call TSSolve again?
>>>>>>>
>>>>>>
>>>>>> OK, I'll add a check and put TSSolve in a while loop.
>>>>>>
>>>>>> My SNESSolve loop looks like this right now:
>>>>>> call VecCreateSeq(PETSC_COMM_SELF,N,x,ierr)
>>>>>> call VecDuplicate(x,r,ierr)
>>>>>> call VecDuplicate(x,xb,ierr)
>>>>>> call SNESCreate(PETSC_COMM_SELF,snes,ierr)
>>>>>> call SNESSetFunction(snes,r,FormFunction,PETSC_NULL_OBJECT,ierr)
>>>>>> call SNESSetFromOptions(snes,ierr)
>>>>>> call FormInitialGuess(x,ierr)
>>>>>> call VecCopy(x,xb,ierr)
>>>>>> write(6,*)zero,dt,tmax,i1000
>>>>>> step=0
>>>>>> timestep=dt
>>>>>> bang=0
>>>>>> C While loop
>>>>>> 10 if (step .le. 100) then
>>>>>> C call PetscExceptionPush(87,ierr)
>>>>>> C call PetscExceptionPush(PETSC_ERR_ARG_DOMAIN,ierr)
>>>>>> call SNESSolve(snes,PETSC_NULL_OBJECT,x,ierr)
>>>>>> ierr=bang
>>>>>> C call PetscExceptionPop(87,ierr2)
>>>>>> IF ( ierr .EQ. 87) THEN
>>>>>> timestep=timestep/2
>>>>>> call VecCopy(xb,x,ierr)
>>>>>> write(6,*) "No physical solution, trying",
>>>>>> . " with smaller timestep: ",timestep
>>>>>> bang=0
>>>>>> ELSE
>>>>>> call SNESGetConvergedReason(snes,reason,ierr)
>>>>>> IF ( reason .LT. 0 ) THEN
>>>>>> timestep=timestep/2
>>>>>> call VecCopy(xb,x,ierr)
>>>>>> write(6,*)"Solution diverged, trying with",
>>>>>> . " smaller timestep: ",timestep
>>>>>> ELSE
>>>>>> timestep=dt
>>>>>> step=step+1
>>>>>> call VecCopy(x,xb,ierr)
>>>>>> write(6,*) "Solve success, going for step: ",step
>>>>>> write(6,*) "Reason: ",reason," ierr: ",ierr
>>>>>> reason=0
>>>>>> ierr=0
>>>>>> ENDIF
>>>>>> ENDIF
>>>>>> goto 10
>>>>>> endif
>>>>>> C End While loop
>>>>>>
>>>>>> And the check in the FormFunction:
>>>>>>
>>>>>> if (ET(L) .LT. 0) then
>>>>>> ierr = 87
>>>>>> bang = 87
>>>>>> C SETERRQ(87,"Non physical value!",ierr)
>>>>>> return
>>>>>> elseif ( RO(L) .LT. 0 ) then
>>>>>> ierr = 87
>>>>>> bang = 87
>>>>>> return
>>>>>> endif
>>>>>>
>>>>>>
>>>>>> /nisse
>>>>>>
>>>>>>
>>>>>>
>>>>>>> Barry
>>>>>>>
>>>>>>> I'm adding a petscerror.h for Fortran that includes these values
>>>>>>> Sorry I forgot we hadn't given them for Fortran.
>>>>>>>
>>>>>>> On Thu, 2 Mar 2006, Nils Erik Svangård wrote:
>>>>>>>
>>>>>>>> Hi again,
>>>>>>>> I realised that my implementation was a bit flawed so I have rewritten
>>>>>>>> it again, the push and pop() functions dont seem to work, and they are
>>>>>>>> keeping me from compiling the program, this is the main timestep loop:
>>>>>>>>
>>>>>>>> call VecCreateSeq(PETSC_COMM_SELF,N,x,ierr)
>>>>>>>> call VecDuplicate(x,r,ierr)
>>>>>>>> call VecDuplicate(x,xb,ierr)
>>>>>>>> call SNESCreate(PETSC_COMM_SELF,snes,ierr)
>>>>>>>> call SNESSetFunction(snes,r,FormFunction,PETSC_NULL_OBJECT,ierr)
>>>>>>>> call SNESSetFromOptions(snes,ierr)
>>>>>>>> call FormInitialGuess(x,ierr)
>>>>>>>> call VecCopy(x,xb,ierr)
>>>>>>>> write(6,*)zero,dt,tmax,i1000
>>>>>>>> step=0
>>>>>>>> timestep=dt
>>>>>>>> C While loop
>>>>>>>> 10 if (step .le. 100) then
>>>>>>>> call PetscExceptionPush(87,ierr)
>>>>>>>> call SNESSolve(snes,PETSC_NULL_OBJECT,x,ierr)
>>>>>>>> call PetscExceptionPop(87,ierr2)
>>>>>>>>
>>>>>>>> call SNESGetConvergedReason(snes,reason,ierr)
>>>>>>>> IF ( reason .LT. 0 ) THEN
>>>>>>>> timestep=timestep/2
>>>>>>>> VecCopy(xb,x,ierr)
>>>>>>>> write(6,*)"Solution diverged, trying with",
>>>>>>>> . " smaller timestep: ",timestep
>>>>>>>> ELSE
>>>>>>>> IF ( ierr .EQ. 87) THEN
>>>>>>>> timestep=timestep/2
>>>>>>>> VecCopy(xb,x,ierr)
>>>>>>>> write(6,*) "No physical solution, trying",
>>>>>>>> . " with smaller timestep: ",timestep
>>>>>>>> ELSE
>>>>>>>> timestep=dt
>>>>>>>> step=step+1
>>>>>>>> VecCopy(x,xb,ierr)
>>>>>>>> write(6,*) "Solve success, going for step: ",step
>>>>>>>> ENDIF
>>>>>>>> ENDIF
>>>>>>>> goto 10
>>>>>>>> endif
>>>>>>>> C End While loop
>>>>>>>>
>>>>>>>> And in my Formfunction I have added the following check:
>>>>>>>> if (ET(L) .LT. 0) then
>>>>>>>> ierr = 87
>>>>>>>> return
>>>>>>>> endif
>>>>>>>>
>>>>>>>> PETSC_ERR_ARG_DOMAIN didnt work: error on line 6500 of SNESG3D2.F:
>>>>>>>> data type is undefined for variable PETSC_ERR_ARG_DOMAIN
>>>>>>>> Even thought I had petsc.h included.
>>>>>>>>
>>>>>>>> Can I do this check when I use TS also? I have the sameproblem with
>>>>>>>> the values being negative when using TS.
>>>>>>>>
>>>>>>>>
>>>>>>>> /nisse
>>>>>>>>
>>>>>>>>
>>>>>>>> On 2/27/06, Barry Smith <bsmith at mcs.anl.gov> wrote:
>>>>>>>>>
>>>>>>>>> SNES works by computing p = -approxinv(J)*F(uold) and
>>>>>>>>> then does a line search on unew = uold + lambda*p to get the
>>>>>>>>> new u. First it uses a test value of 1 for lambda so it
>>>>>>>>> tries to compute F(uold + p). It is possible that uold + p
>>>>>>>>> has some "non-physical" values in it. There are two ways
>>>>>>>>> you can try handling it:
>>>>>>>>>
>>>>>>>>> 1) Before doing the linesearch SNES calls a "precheck" function,
>>>>>>>>> that can change the step if it decides there is a problem
>>>>>>>>> with the step (like it is too long). You can provide your
>>>>>>>>> own precheck function with SNESLineSearchSetPreCheck() it could,
>>>>>>>>> for example, shrink the Newton direction to make it remain physical.
>>>>>>>>>
>>>>>>>>> or 2) when your form function detects an illegal value it calls
>>>>>>>>> SETERRQ(PETSC_ERR_ARG_DOMAIN,"Nonphysical function input"); Note:
>>>>>>>>> this is before it takes the square root of the negative number,
>>>>>>>>> so check the number and call the error before calling SETERRQ().
>>>>>>>>> (If using Fortran then simply set ierr = PETSC_ERR_ARG_DOMAIN and
>>>>>>>>> then immediately return). Then replace your call to SNESSolve with
>>>>>>>>> ierr = PetscExceptionTry1(SNESSolve(snes,b,x),PETSC_ERR_ARG_DOMAIN);
>>>>>>>>> if (PetscExceptionCaught(ierr,PETSC_ERR_ARG_DOMAIN)) {
>>>>>>>>> /* this means your function found a non-physical value so
>>>>>>>>> cut your time-step and continue through the loop again. */
>>>>>>>>> Put code to do this here.
>>>>>>>>> }
>>>>>>>>> If using fortran then do
>>>>>>>>> call PetscExceptionPush(PETSC_ERR_ARG_DOMAIN,ierr)
>>>>>>>>> call SNESSolve(snes,b,x,ierr)
>>>>>>>>> call PetscExceptionPop(PETSC_ERR_ARG_DOMAIN,anotherierr)
>>>>>>>>> if (ierr == PETSC_ERR_ARG_DOMAIN) then
>>>>>>>>> non-physical value so cut the time-step and try again
>>>>>>>>> else ! everything is normal so take the next time-step
>>>>>>>>>
>>>>>>>>> Barry
>>>>>>>>>
>>>>>>>>> The Fortran interface may be missing PetscExceptionPush() and Pop()
>>>>>>>>> if so let us know and we'll provide the patch.
>>>>>>>>>
>>>>>>>>> On Mon, 27 Feb 2006, Nils Erik Svangård wrote:
>>>>>>>>>
>>>>>>>>>> Hi all,
>>>>>>>>>>
>>>>>>>>>> I have problems solving some CFD problems using SNES and my custom
>>>>>>>>>> back-euler. I have 7 equations that I want to solve.
>>>>>>>>>>
>>>>>>>>>> First my FormFunction copies the values from the Vec that SNES uses to
>>>>>>>>>> the variables that my code use:
>>>>>>>>>>
>>>>>>>>>> RO(L)=xx(1,L)
>>>>>>>>>> RU(L)=xx(2,L)
>>>>>>>>>> RV(L)=xx(3,L)
>>>>>>>>>> RW(L)=xx(4,L)
>>>>>>>>>> ET(L)=xx(5,L)
>>>>>>>>>> RQ(L)= xx(6,L)
>>>>>>>>>> REPS(L)=xx(7,L)
>>>>>>>>>>
>>>>>>>>>> Here I also print the values of ET(2) for debugging:
>>>>>>>>>>
>>>>>>>>>> write(6,*)"ET(2) = xx(5,2) : ",ET(2)," = ",xx(5,2)
>>>>>>>>>>
>>>>>>>>>> Then I get the fluxes by calling custom functions
>>>>>>>>>>
>>>>>>>>>> call AUXVR
>>>>>>>>>> call VGRAD
>>>>>>>>>> call FLUX
>>>>>>>>>> call KESRC
>>>>>>>>>>
>>>>>>>>>> Then I perform back-euler save the new value to so that I can use it
>>>>>>>>>> in the next iterationi (TSF(L) is Time step function, which is set by
>>>>>>>>>> hand and is the same for all L):
>>>>>>>>>>
>>>>>>>>>> ff(1,L) = RO(L)-OLD(1,L)-TSF(L)*DRO(L)
>>>>>>>>>> ff(2,L) = RU(L)-OLD(2,L)-TSF(L)*DRU(L)
>>>>>>>>>> ff(3,L) = RV(L)-OLD(3,L)-TSF(L)*DRV(L)
>>>>>>>>>> ff(4,L) = RW(L)-OLD(4,L)-TSF(L)*DRW(L)
>>>>>>>>>> ff(5,L) = ET(L)-OLD(5,L)-TSF(L)*DET(L)
>>>>>>>>>> ff(6,L) = RQ(L)-OLD(6,L)-TSF(L)*DRQ(L)
>>>>>>>>>> ff(7,L) = REPS(L)-OLD(7,L)-TSF(L)*DREPS(L)
>>>>>>>>>>
>>>>>>>>>> And save the new value of RO-REPS to use in the next iteration of back-euler:
>>>>>>>>>>
>>>>>>>>>> OLD(1,L)=RO(L)
>>>>>>>>>> OLD(2,L)=RU(L)
>>>>>>>>>> OLD(3,L)=RV(L)
>>>>>>>>>> OLD(4,L)=RW(L)
>>>>>>>>>> OLD(5,L)=ET(L)
>>>>>>>>>> OLD(6,L)=RQ(L)
>>>>>>>>>> OLD(7,L)=REPS(L)
>>>>>>>>>>
>>>>>>>>>> Here I print the values of L=2 as above for debugging:
>>>>>>>>>>
>>>>>>>>>> write(6,*)ff(5,2)," = ",ET(2),"-",OLD(5,2),"-",TSF(2),"*",DET(2)
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> The program exit abnormaly after 33 runs of the FormFunction. The
>>>>>>>>>> cause of this is that AUXVR tries to perform sqrt(ET(2)) when ET(2) is
>>>>>>>>>> negative, ET is the total energy and should never be negative. It
>>>>>>>>>> seems that all of a sudden the PETSc SNES solver decides to supply the
>>>>>>>>>> FormFunction with a negative ET value. I need help understanding why
>>>>>>>>>> and how to fix it (if it is fixable).
>>>>>>>>>>
>>>>>>>>>> Here is the output of:
>>>>>>>>>> write(6,*)"ET(2) = xx(5,2) : ",ET(2)," = ",xx(5,2)
>>>>>>>>>> Which is in the beginning of my FormFunction.
>>>>>>>>>> And:
>>>>>>>>>> write(6,*)ff(5,2)," = ",ET(2),"-",OLD(5,2),"-",TSF(2),"*",DET(2)
>>>>>>>>>> Which is in the end of my Formfunction.
>>>>>>>>>>
>>>>>>>>>> 1. ET(2) = xx(5,2) : 253250. = 253250.000000000
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 2. ET(2) = xx(5,2) : 253250. = 253250.000010259
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 3. ET(2) = xx(5,2) : 253250. = 253249.999999988
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4132419437260 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941324E+08
>>>>>>>>>> 4. ET(2) = xx(5,2) : 253250. = 253250.000048432
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 5. ET(2) = xx(5,2) : 253250. = 253249.999999872
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4177283437784 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941773E+08
>>>>>>>>>> 6. ET(2) = xx(5,2) : 253250. = 253250.000071113
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 7. ET(2) = xx(5,2) : 253250. = 253249.999980115
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4453347441010 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.944533E+08
>>>>>>>>>> 8. ET(2) = xx(5,2) : 253250. = 253250.000037298
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4082723436679 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940827E+08
>>>>>>>>>> 9. ET(2) = xx(5,2) : 253250. = 253249.999942706
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4082723436679 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940827E+08
>>>>>>>>>> 10. ET(2) = xx(5,2) : 253250. = 253249.999948703
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 11. ET(2) = xx(5,2) : 253250. = 253250.000007808
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.7283811474088 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.972838E+08
>>>>>>>>>> 12. ET(2) = xx(5,2) : 253250. = 253250.000018146
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 13. ET(2) = xx(5,2) : 253250. = 253250.000001865
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 28.3742819315846 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.837428E+08
>>>>>>>>>> 14. ET(2) = xx(5,2) : 253250. = 253249.999997296
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 15. ET(2) = xx(5,2) : 253250. = 253250.000000049
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 30.6548963582361 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -3.065490E+08
>>>>>>>>>> 16. ET(2) = xx(5,2) : 253250. = 253250.000022870
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 17. ET(2) = xx(5,2) : 253250. = 253249.999999716
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.5326051451209 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.953260E+08
>>>>>>>>>> 18. ET(2) = xx(5,2) : 253250. = 253250.000074328
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4165187437643 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941652E+08
>>>>>>>>>> 19. ET(2) = xx(5,2) : 253250. = 253250.000049809
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4085059436707 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940851E+08
>>>>>>>>>> 20. ET(2) = xx(5,2) : 253250. = 253250.000019253
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 21. ET(2) = xx(5,2) : 253250. = 253250.000000189
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.8851075492403 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.988511E+08
>>>>>>>>>> 22. ET(2) = xx(5,2) : 253250. = 253249.999997897
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4085059436707 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940851E+08
>>>>>>>>>> 23. ET(2) = xx(5,2) : 253250. = 253249.999975142
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.3961539435263 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.939615E+08
>>>>>>>>>> 24. ET(2) = xx(5,2) : 253250. = 253250.000018324
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4085059436707 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940851E+08
>>>>>>>>>> 25. ET(2) = xx(5,2) : 253250. = 253249.999987073
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4165187437643 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941652E+08
>>>>>>>>>> 26. ET(2) = xx(5,2) : 253250. = 253249.999980982
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4165187437643 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941652E+08
>>>>>>>>>> 27. ET(2) = xx(5,2) : 253250. = 253249.999994645
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 28. ET(2) = xx(5,2) : 253250. = 253249.999962364
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4165187437643 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941652E+08
>>>>>>>>>> 29. ET(2) = xx(5,2) : 253250. = 253249.999999921
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 30. ET(2) = xx(5,2) : 253250. = 253250.000000058
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 28.4019971319085 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.840200E+08
>>>>>>>>>> 31. ET(2) = xx(5,2) : 253250. = 253250.000040348
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4085059436707 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.940851E+08
>>>>>>>>>> 32. ET(2) = xx(5,2) : 253250. = 253250.000005245
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 33. ET(2) = xx(5,2) : 253250. = 253250.000005245
>>>>>>>>>> ff(5,2) = ET(2)-OLD(5,2)-TSF(2)*DET(2) : 29.4126563437192 =
>>>>>>>>>> 253250. - 253250.000000000 - 1.000000E-07 * -2.941266E+08
>>>>>>>>>> 34. ET(2) = xx(5,2) : -848141. = -848141.388090847
>>>>>>>>>> --------------------------------------------------------------------------
>>>>>>>>>> Petsc Release Version 2.3.0, Patch 32, April, 26, 2005
>>>>>>>>>> See docs/changes/index.html for recent updates.
>>>>>>>>>> See docs/faq.html for hints about trouble shooting.
>>>>>>>>>> See docs/index.html for manual pages.
>>>>>>>>>> -----------------------------------------------------------------------
>>>>>>>>>> ./SNESG3D2 on a linux-gnu named sethnx004.vac.com by yy26539 Mon Feb
>>>>>>>>>> 27 14:21:13 2006
>>>>>>>>>> Libraries linked from /home/yy26539/work/NISSE/petsc-2.3.0/lib/linux-gnu
>>>>>>>>>> Configure run at Thu Oct 13 08:23:56 2005
>>>>>>>>>> Configure options --with-cc=gcc --with-fc="f77 -N109"
>>>>>>>>>> --download-mpich=1 --download-mpich-pm=gforker
>>>>>>>>>> --download-f-blas-lapack=1 --with-shared=0
>>>>>>>>>> -----------------------------------------------------------------------
>>>>>>>>>> [0]PETSC ERROR: Caught signal number 8 FPE: Floating Point
>>>>>>>>>> Exception,probably divide by zero
>>>>>>>>>> [0]PETSC ERROR: Try option -start_in_debugger or -on_error_attach_debugger
>>>>>>>>>> [0]PETSC ERROR: likely location of problem given in stack below
>>>>>>>>>> [0]PETSC ERROR: --------------- Stack Frames ---------------
>>>>>>>>>> [0]PETSC ERROR: Note: The EXACT line numbers in the stack are not available,
>>>>>>>>>> [0]PETSC ERROR: INSTEAD the line number of the start of the function
>>>>>>>>>> [0]PETSC ERROR: is given.
>>>>>>>>>> [0]PETSC ERROR: [0] SNES user function line 0 unknownunknown
>>>>>>>>>> [0]PETSC ERROR: [0] SNESComputeFunction line 788 src/snes/interface/snes.c
>>>>>>>>>> [0]PETSC ERROR: [0] SNESLineSearchCubic line 514 src/snes/impls/ls/ls.c
>>>>>>>>>> [0]PETSC ERROR: --------------------------------------------
>>>>>>>>>> [0]PETSC ERROR: User provided function() line 0 in unknown directory
>>>>>>>>>> unknown file
>>>>>>>>>> [0]PETSC ERROR: Signal received!
>>>>>>>>>> [0]PETSC ERROR: !
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Suggestions and tips are very welcome!
>>>>>>>>>> /nisse
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> --
>>>>>>>>>> Nils-Erik Svang�rd
>>>>>>>>>> MSN: schweingaard at hotmail.com
>>>>>>>>>> Skype: schweingaard
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> --
>>>>>>>> Nils-Erik Svangård
>>>>>>>> MSN: schweingaard at hotmail.com
>>>>>>>> Skype: schweingaard
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>
>>>>>>
>>>>>> --
>>>>>> Nils-Erik Svangård
>>>>>> E-Mail: nilserik at gmail.com
>>>>>> MSN: schweingaard at hotmail.com
>>>>>> Skype: schweingaard
>>>>>> Mobil: +46-(0)70-3612178
>>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> Nils-Erik Svangård
>>>>> E-Mail: nilserik at gmail.com
>>>>> MSN: schweingaard at hotmail.com
>>>>> Skype: schweingaard
>>>>> Mobil: +46-(0)70-3612178
>>>>>
>>>>>
>>>>
>>>
>>>
>>> --
>>> Nils-Erik Svangård
>>> E-Mail: nilserik at gmail.com
>>> MSN: schweingaard at hotmail.com
>>> Skype: schweingaard
>>> Mobil: +46-(0)70-3612178
>>>
>>>
>>
>
>
> --
> Nils-Erik Svangård
> E-Mail: nilserik at gmail.com
> MSN: schweingaard at hotmail.com
> Skype: schweingaard
> Mobil: +46-(0)70-3612178
>
>
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