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Re: [Getfem-users] regarding the valude of the level set function


From: Renard Yves
Subject: Re: [Getfem-users] regarding the valude of the level set function
Date: Wed, 21 Mar 2007 14:41:47 +0100
User-agent: Internet Messaging Program (IMP) 3.2.2

Selon Andriy Andreykiv <address@hidden>:

> Dear Yves,
> 
>       When I create a new level set on a getfem_mesh, I have to also set 
> values of
> 
> the level set function by setting 
> 
> ls.values( )[i] = ..  
>       
> for all the nodes of my original mesh, that I want to cut by the level set. 
> I browsed through the examples, located in getfem instalation, and I see that
> 
> all of them have quite simple procedure of doing this. Namelly, in every 
> example this procedure strongly depends on the geometry of the problem and I
> 
> didn't see some generic way of doing this. This is particularly a problem if
> 
> your level set (geometry of your interface) is quite arbitrary, as in my 
> case.
> Is there a way to set those values in some generic way? 
> By, say, computing a signed distance between your interface (possibly defined
> 
> as a getfem::mesh itself) and the nodes where you have to define the value of
> 
> your level set?
> 
> Thank you in advance,
>                               Andriy

Dear Andriy,

In order to work without problems, it is indeed important for the level set
function to be closed to (or not too far from) a signed distance. So if you
have a signed distance to a surface, you can interpolate it on the mesh_fem
of the level set (of course, there is an approximation there). But may be I
did not understand well your question.

Best regards,

Yves.







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