On 07/17/2017 01:43 AM, Maxi Miller wrote:
At least in my home-written code the difference was creating a different
matrix, but else nothing much. My problem with example 26 (as you
suggested) is that there I have (in one dimension) \partial_x^2 u, while
in my equation I have \partial_x(f(u)\partial_x u), i.e. an additional
factor to include. Thus (at least for me) example 52 looks more
interesting, but there you also state that D(x) is constant over time,
unlike in my case. Is that correct?
Yes, step-52 also has such a coefficient, but as you can see there, its
presence doesn't lead to any complications after integration by parts.
In fact, step-52 may be a useful starting point for your work as well,
in addition to step-26.
If you want to see how to deal with a term of the form f(u), you can
also look at step-15. In any case, however, the character of your
equation is definitely parabolic, and you need to use appropriate
methods for this class of equations.
Best
W.
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Wolfgang Bangerth email: [email protected]
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