On Wed, Aug 8, 2012 at 9:26 AM, Andreas Pritschet <
[email protected]> wrote:
> Hi,
> as the subject suggests I have a little question about how to handle
> boundary conditions at infinity.
> When solving (P)DEs analytically physicists like to add the BC that the
> function solving the (P)DE converges to zero when its variable goes to
> infinity: $\lim_{x\to\pm\infty}f(x) = 0$.
>
> Now I'm wondering how I would correctly regard this BC? As far as I can
> tell I have two options:
> a) simply ignore it.
>
b) apply the BC to the exterior face of the mesh.
>
Andi, I think this is a little to open ended. Do you have a more specific
example? Obviously, to deal with boundary value problems on an infinite
domain, one needs to limit the extent of the domain. I suppose this can be
done with a numerical experiment with different size domains maybe using an
analytical estimate as a baseline.
--
Daniel Wheeler
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