Talk:Galerkin method

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as i understand it, galerkin method is not specific to differential formulations but in general applied to operation equation. for example Lu=f, then you expand u in a basis v_i and do (v_i,Lv_j)=(v_i,f). for differential formulations, you can use identities to get the LHS to be more convient. however if you have an integral equation then you have two sets of integrals. if no one objects, i will modify the article in this generality.

• This is correct. The page has many errors on it, the galerkin method is a pretty vague term and should probably be called galerkin methods. Then one could talk about Ritz-Galerkin, Babuska-Galerkin, Discontinuous Galerkin, Generalized Galerkin ... If I had time to fix it now, but basically I would throw away everything in this page. The notation isn't even consistent

[edit] Clean up math

The "proofs" on this page are really not necessary. This page should probably only give a brief explanation, possibly outline the most popular Galerkin methods and point to more specialized topics. (Art187 13:46, 9 June 2007 (UTC))

This article doesn't mention that the Galerkin method is part of the set of the spectral methods. In addition, the main algorithms for programming this method aren't given, or shown clearly. I am currently studying this set of techniques, once I have it down pat I'll try and clean up this article. (Starscreaming Crackerjack 21:11, 17 August 2007 (UTC))

[edit] As PDE analysis method

I think one should mention that the Galerkin method started as and continuous to be one of the important methods for showing existence of solutions to PDE's, even though nowadays the most popular applications seem to be in numerical analysis. Temur (talk) 04:05, 8 March 2008 (UTC)