Forwarded message from Roy...
---------- Forwarded message ---------- From: Roy Stogner <[EMAIL PROTECTED]> Date: Tue, Aug 26, 2008 at 6:35 PM Subject: Re: [Libmesh-users] Comparison of solutions on different grids (fwd) To: John Peterson <[EMAIL PROTECTED]> post the attachment to the list for me? I need to reconfigure my From: address at the cfdlab. ---------- Forwarded message ---------- Date: Tue, 26 Aug 2008 16:30:36 -0700 From: [EMAIL PROTECTED] To: [EMAIL PROTECTED] Subject: Re: [Libmesh-users] Comparison of solutions on different grids You are not allowed to post to this mailing list, and your message has been automatically rejected. If you think that your messages are being rejected in error, contact the mailing list owner at [EMAIL PROTECTED] ---------- Forwarded message ---------- From: Roy Stogner <[EMAIL PROTECTED]> To: David Knezevic <[EMAIL PROTECTED]> Date: Tue, 26 Aug 2008 18:30:23 -0500 (CDT) Subject: Re: [Libmesh-users] Comparison of solutions on different grids On Tue, 26 Aug 2008, David Knezevic wrote: > Yeah, I see what you mean. I suppose the ideal thing (I'm not saying > this should be done in practice) would be to compute the interpolant of > the error based on values at the quadrature points, and take the L_INFTY > norm of the interpolant. Given a regularity assumption on the error, I'm > sure there are bounds for the L_INFTY error of the interpolant. That's ideal if you're taking the norm of something piecewise polynomial, and probably if you're just sufficiently smooth, but in some places where we want to approximate L_infty we might be taking the norm of even a discontinuous function, where trying to get a polynomial interpolant would be disasterous. For consistency, even when comparing two grids' solutions for C^0 elements I think the "max value at a quadrature point" is the way to go, so long as we give the user the ability to override the quadrature rule selection. --- Roy -- John ------------------------------------------------------------------------- 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
