Hi Wolfgang

I do plan to use Newton's iteration + FGMRES. Based on your experience, 
does the preconditioner remain the same?

Thanks
Jie

On Wednesday, October 4, 2017 at 6:24:25 PM UTC-4, Wolfgang Bangerth wrote:
>
>
> > How hard would it be to first extend Step-57 to be non-steady, and then 
> add 
> > stabilization terms? My main concern is whether Newton iteration + 
> FGMRES 
> > approach remains the same. 
>
> I don't know how much work it will be to add a time dependence, but if you 
> treat the nonlinearity implicitly, and time discretized model will remain 
> nonlinear and needs to be solved with a Newton scheme or similar. The 
> appropriate solver for that system then remains FGMRES. 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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