Tell me if this bizarre suggestion has merit... Pass in a standard 6-noded quadratic triangulation which discretuzes the manifold.
Declare a 'geometry system' which uses some C1 fe basis (clough-tocher does come to mind...). The unknowns in the system would be (xC1,yC1,zC1) - the weights for the C1 surface representation. Project your geometry to this system. Implement another fe.reinit() flavor which takes user-specified mapping values. In this case, the maps are pre-computed for the current element from the 'geometry system.' Since he is solving on a manifold, the memory used is probably acceptable... Is there a show-stopper I am overlooking? -Ben ----- Original Message ----- From: Derek Gaston <[EMAIL PROTECTED]> To: Roy Stogner <[EMAIL PROTECTED]> Cc: [email protected] <[email protected]> Sent: Tue Nov 11 11:25:22 2008 Subject: Re: [Libmesh-users] Subdivision surface based FEM On Nov 11, 2008, at 10:02 AM, Roy Stogner wrote: > On Tue, 11 Nov 2008, Norbert Stoop wrote: > >> To summarize, we abuse the traditional mesh as a control mesh. We >> define >> a parametrization of the limit surface which naturally gives us the >> needed mathematical objects such as derivatives, surface patches etc. >> Since we *know* where each control point converges to in the limit, >> we >> can assign back calculated nodal values to the control points and >> assemble the system as usual. >> >> Hope this helps to clarify... It seems like if you could use Clough Touchers (or hermites) as the map then that would solve this problem... but as you mentioned earlier that's probably not doable with our current architecture. Derek ------------------------------------------------------------------------- This SF.Net email is sponsored by the Moblin Your Move Developer's challenge Build the coolest Linux based applications with Moblin SDK & win great prizes Grand prize is a trip for two to an Open Source event anywhere in the world http://moblin-contest.org/redirect.php?banner_id=100&url=/ _______________________________________________ Libmesh-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/libmesh-users ------------------------------------------------------------------------- This SF.Net email is sponsored by the Moblin Your Move Developer's challenge Build the coolest Linux based applications with Moblin SDK & win great prizes Grand prize is a trip for two to an Open Source event anywhere in the world http://moblin-contest.org/redirect.php?banner_id=100&url=/ _______________________________________________ Libmesh-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/libmesh-users
