Hi, Just adding comment:
If you are actualy looking for (though, not essentialy required in top opt) a continuous density, e.g. with H1 regularity. It may be helpful to look at: Bourdin & Chambolle -ESAIM: COCV 03 Burger & Stainko - SICON 06 I think that having sufficient sight, there is nothing technical related to deal ii, for such problems RT On Sun, Dec 13, 2009 at 10:10 AM, Guido Kanschat <[email protected]> wrote: > > However, I am interested in using continuous densities. I thought of > using the user_index property of the TriaAccessor class to create a map > between the integer index and the real density but could not really figure > out how to do it. I could not find examples on how to use the user_index > property in the tutorials or the e-mail list, and wanted to ask for guidance > on using it (or otherwise, if you think that there is a better solution than > this, I would greatly appreciate). > > > Continuous densities sounds like level set or phase field methods or > similar. In that case, your density would be a finite element function > represented by a DoFHandler, not so much a cellwise property. Cellwise > properties are always discontinuous. > > Best, > Guido > > _______________________________________________ > dealii mailing list http://poisson.dealii.org/mailman/listinfo/dealii > >
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