Re: numerical stability of mpb and meep

"Steven G. Johnson" <[email protected]> Sat, 5 Sep 2009 00:38:02 -0400

Newsgroups	gmane.comp.science.photonic-bands
Message-ID	<[email protected]>

On Sep 4, 2009, at 1:56 PM, Juan Pablo Vasco wrote:
> I have a question about mpb... and meep too:
> ¿how is the behavior of the convergence when i put a very large  
> resolution?

It varies between linear and quadratic with resolution, depending on  
the structure (e.g. sharp corners reduce the convergence rate).

> ¿is mpb numerically stable for very high resolutions?

Yes.

>
> if i put a resolution of 20000 for a one dimensional system, ¿should  
> i obtain a best result when i put a resolution of 25000?

What do you mean by "best result"?  Increasing the resolution should  
generally increase the accuracy.

Steven