Isabel,

> I am not sure if I must also apply the Newton method in every case since I
> always use the convection term in a previous time step or I linearize it
> using (u^(n)*gradu)^(n+1). Anyway, it is supposed that convection term is
> the only term that introduces a non linearity in the equation, isn't it?
> And it is because of it, we should introduce the Newton method to reach
> the right solution or on the contrary, I would like to know when and why
> we should use Newton method to get the right solution. Is it always
> compulsory?

These are all questions that are not particular to deal.II, and so this 
mailing list isn't quite the right forum to ask these questions.

In any case, I would recommend you take a look at the literature on solving 
the Navier-Stokes equations and see what people recommend in this area. One 
starting point would be the book by Stefan Turek, for example.

W.


-- 
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Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/

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