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Re: [ff3d-users] Basic Question on Fictitious Domain method

From: Stephane Del Pino
Subject: Re: [ff3d-users] Basic Question on Fictitious Domain method
Date: Tue, 5 Jan 2010 09:51:20 +0100
User-agent: KMail/1.12.4 (Linux/2.6.32-trunk-amd64; KDE/4.3.4; x86_64; ; )


Le lundi 21 décembre 2009, Juzar Thingna a écrit :
> Hello Everyone,
> I'm quite new to the fictitious domain method of solving PDE. I wanted to
> know how is this method better than the Finite element method? 
It is not better. FDM relies usually on finite element method.

> while doing
> some basic research one advantage I see is that the number of iterations
>  for convergence in CG is quite small in complex geometries because of the
>  pre-conditioner used.
This can be the case for some methods but in ff3d, FDM are used to avoid the 
complexity of 3D mesh generation. It is not a performance issue.

>  But I'm still not able to figure out how the
>  geometry can make the matrix ill-conditioned?
You should have a look to finite element method analysis.

Best regards,

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