On Wed, Jun 18, 2008 at 5:18 PM, John Peterson <[EMAIL PROTECTED]> wrote: > On Wed, Jun 18, 2008 at 1:52 PM, David Knezevic <[EMAIL PROTECTED]> wrote: >> >> hehe, well the way the paper is written doesn't inspire me with confidence >> in their results, so I'd be very interested to hear the results of the >> comparisons.
This paper gets even more interesting... Walkington's claimed seventh-order rules have 20 points (d=2) and 35 points (d=3). The only thing we've got at seventh-order for simplices are the "conical product" rules I implemented a long time ago, which have 16 points (d=2) and 64 points (d=3). I'm going to implement and check the 3D version since that appears to be a pretty big win. I don't use seventh-order a lot, but it should be handy for anyone using cubics... While I'm at it: I can't find the following paper online (and I think it might be in French) but it purports to have a degree 11 rule for tets with only 87 points (our current 11th-order rule has 216 pts). J. Maeztu and ES de la Maza, "An invariant quadrature rule of degree 11 for the tetrahedron," C. R. Acad Sci. Paris v. 321 (1995) p. 1263--1267. If any of our French-speaking users could help out by finding/translating this paper I'd greatly appreciate it. (Roy, UT has numbers 1-4 and 7-12 of this volume at the PMA "QA 1 C856" but I'm not sure those cover the page numbers we need...) Thanks, -- John ------------------------------------------------------------------------- Check out the new SourceForge.net Marketplace. It's the best place to buy or sell services for just about anything Open Source. http://sourceforge.net/services/buy/index.php _______________________________________________ Libmesh-devel mailing list Libmesh-devel@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/libmesh-devel
