Hello Michael:
I'm a new user, not a developer, but for this question it doesn't 
matter. What you need to do is spend some quality time with the 
examples, focused on Example 18. This process took me a while, but if 
you understand Example 18 than you are very close to solving nonlinear 
PDEs in parallel.
Specifically to answer your question, as I understand it there are two 
general ways to solve PDEs in LibMesh. There is the standard approach 
which is well presented in examples 0-17 and there is a newer approach 
(and more simplified from an implementation point of view), the 
DiffSystem framework, that is addressed in example 18. My understanding 
based upon hours and hours of looking through the class documentation is 
that the DiffSystem framework is exactly that, a framework, that uses 
the standard LibMesh functionality in a unified/flexible way, benefiting 
newer and less familiar users.

Nasser Mohieddin Abukhdeir
Graduate Student (Materials Modeling Research Group)
McGill University - Department of Chemical Engineering
http://webpages.mcgill.ca/students/nabukh/web/
http://mmrg.chemeng.mcgill.ca/



[EMAIL PROTECTED] wrote:
> ------------------------------
>
> Message: 8
> Date: Fri, 26 Sep 2008 17:12:30 -0400
> From: Michael Povolotskyi <[EMAIL PROTECTED]>
> Subject: [Libmesh-users] nonlinear system assembly
> To: [email protected]
> Message-ID: <[EMAIL PROTECTED]>
> Content-Type: text/plain; charset=ISO-8859-1; format=flowed
>
> Dear Libmesh developers,
> I'm working on a non-linear partial differential equation.
> I'd like to solve it using the Newton method.
>
> My question:
> Which libmesh object I have to create: NonlinearInplicitSystem or
> DifferentiableSystem?
>
> Thank you,
> Michael.
>
>
>
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