Dragon,

On Friday, September 9, 2016 at 7:02:15 AM UTC-4, dragniko...@gmail.com 
wrote:
>
> Thank you Denis.
>
> I tried that. The function log(c/(1-c)) looks like:
>
>
> <https://lh3.googleusercontent.com/-98tPVjPUANE/V9KVjOfyXdI/AAAAAAAAAAM/OMFk_X10nP82jlxIfN1cEjtDx0Fvdf9lQCLcB/s1600/log.png>
> and it is difficult to linearise in the whole range. And the assembled 
> matrices are solved out of deal.II so I definitely need to a weak form.  
>

To solve a non-linear problem, you basically have two choices: fixed-point 
iteration (https://en.wikipedia.org/wiki/Fixed-point_iteration) or, like 
Denis said, Newton's method 
(https://en.wikipedia.org/wiki/Newton%27s_method). Newton's method 
converges faster but is a little harder to implement.

Best,

Bruno

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