I would guess this would rather be the degeneration of ILUt in parallel 
than the
implementation.

If I am not wrong, ILU-T in parallel is not ILU-like preconditioner 
anymore, right? I remember
the inter-core part is implemented in a block-Jacobi fashion.

I've never used ILUT but used ILU a lot. For my past experience, it was 
super easy for certain problems that ILU serial outperforms
ILU in parallel. I experienced that in problems like when I have elliptic 
equations in subdomains
connected with hyperbolic-type (upwinding) interface conditions.

在 2018年4月5日星期四 UTC-7下午4:42:17,Wolfgang Bangerth写道:
>
> On 04/04/2018 08:38 AM, Feimi Yu wrote: 
> > I wish I can only deal with small problem, but that is only a test 
> > problem and 
> > I guess we need to use this code to compute much larger 3-D cases. Now 
> it 
> > is too slow so I cannot test any larger cases than 400k dofs. I tried 
> > 400k dofs, 
> > still, 2 cores are slower than 1 core. 
> > 
> > The weirdest thing is the iterations does not change much, when using 
> block 
> > jacobi this would change, but not significantly. Sometimes with Pilut 
> > the number 
> > of iterations even decreased, but with more time. 
>
> It's hard to tell what exactly is the problem without seeing the code 
> and/or more details. How many outer iterations do you need? How many 
> iterations do you need to solve for the Schur complement? 
>
> I would say that a good preconditioner for a problem with constant 
> coefficient should generally not require more than, say, 50-100 outer 
> iterations, and at most a similar number of inner iterations. 
>
> Maybe explain how your matrix block structure looks like, and how your 
> block solver/block preconditioner looks like? 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 [email protected] 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>

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