From: spellucci@mathematik.tu-darmstadt.de (Peter Spellucci) Subject: Re: Integrating numerically monomials on 2D and 3D reference finite element ? Date: 24 Sep 1999 13:21:03 GMT Newsgroups: sci.math.num-analysis In article , Stephane GOUNAND writes: |> |> I'm currently trying to integrate numerically monomials of a given order (up to |> ten typically) on a 2D or 3D reference element. |> These element can be triangular, square, tetrahedral, prismatic, cubic snip |> |> Is there any bibliography or list for such methods ? snip stroud: the approximate calculation of multiple integrals prentice hall (1970?) has a large list of such formulae they should also be part of any reasonable FEM-package, hence you may check also http://www.engr.usask.ca/~macphed/finite/fe_resources/fe_resources.html hope this helps peter ============================================================================== From: Stephane GOUNAND Subject: Re: Integrating numerically monomials on 2D and 3D reference finite element ? Date: 01 Oct 1999 11:29:58 +0200 Newsgroups: sci.math.num-analysis spellucci@mathematik.tu-darmstadt.de (Peter Spellucci) writes: [previous article quoted --djr] A late follow-up to this thread just to mention that Stroud was the book I was looking for. Thanks. Also, someone provided me some pointers that I've found to be useful. keast@mscs.dal.ca (Pat Keast) writes: > ... > J.N. Lyness and Ronald Cools: A survey of Numerical Cubature over Triangles, > and references in there. There is also a paper by Cools and Rabinowitz which > you can get from Cools' web page. Cools is probably a very good source. > > The Lyness-Cools paper is at > http://www-fp.mcs.anl.gov/division/publications/preprints.htm > > Cools' e-mail is Ronald.Cools@cs.kuleuven.ac.be and his web page is at > > http://www.cs.kuleuven.ac.be/~ronald/index.html > ... Here you can find html tables of cubature formulae over a variety of domains together with references. It's great ! Regards, -- Stephane Gounand mailto: gounand@semt2.smts.cea.fr