Dear Wolfgang,
Thanks also to you for taking the time, I really appreciate it!

I already tested the integration, increasing up by order+1, +2, +3 ... gave 
identical results.
Now it seems, that I should introduce some switches to a direct solver! 
This might give me a hint, if I need some rescaling of some rows!
I will report back, if that helped!

Kind regards,
Richard


Am Mittwoch, 19. Februar 2020 03:03:57 UTC+1 schrieb Wolfgang Bangerth:
>
> On 2/14/20 5:34 AM, Richard Schussnig wrote: 
> > 
> > Could the observed behaviour be caused by applying an iterative solver*? 
> > (using ReductionControl and a reduction factor of 1e-13 which is really 
> low) 
> > * Block-triangular Schur-complement-based approach, similar as in 
> > step-55 suggested in the further possibilities for extension, basically 
> > using S~-(1/viscosity)*Mass_pressure giving 20-40 iterations up to 3mio 
> > dofs tested. 
> > 
> > I have been checking the code for a week now, and i really doubt, that 
> > the integration of just tau*grad(p)*grad(p) is wrong (again, the laplace 
> > drops out for a rectangular grid). 
> > Just to check, i used a manufactured solution from Poisuille flow and 
> > added the laplacian from PSPG to the rhs, giving me the exact (linear) 
> > solution in the pressure and quadratic convergence in the velocity, thus 
> > I assume, that the grad(p)grad(q) term added is correctly implemeted. 
> > (exact solution meaning, that i get an L2 error of err<1e-9 for any 
> > number of elements used) 
> > 
> > Anyone has ever experienced this or has anyone some tipps for further 
> > debugging? 
>
> We have all spent much time trying to figure out these sorts of issues 
> :-) My usual approach is to switch to a direct solver to eliminate the 
> possibility that the problem lies with the solver. Just speaking about, 
> say, step-22, there is also the issue that the iterative solver actually 
> just ignores the pressure-pressure block of the matrix (I think that we 
> put a mass matrix in there as that is used in the preconditioner -- or 
> at least that's what we used to do). So it's useful to just remove 
> everything that could be problematic, and the iterative solvers are 
> definitely a point in case. 
>
> The other thing I usually check is what happens if I increase the order 
> of quadrature. 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>

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