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.

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Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/

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