From: wei-choon ng Subject: Re: Numerical solution of Maxwell's equations Date: 10 Dec 1999 07:13:26 GMT Newsgroups: sci.math.num-analysis Bruno Carpentieri wrote: > Hi ! Is anybody involved in the numerical solution of Maxwell's > equations ? > I would be interested to know which discretization sheme he uses > (Finite Difference Methods, Finite Element Methods, Perfectly > Matched Layer, Boundary Element Method) to have a comparative > idea of the performance. If you would just take a look at the literature, the vast volume of FD and FE papers in electromagnetics may just scare the hell out of you. Perhaps for a start, you can check out the books: P.P.Silvester, and Pelosi, "Finite Elements for Wave Electromagnetics", IEEE Press. This contains a good collection of papers tracing the development of the FE method applied to EM problems. For an instructive book on how to formulate the FE equations for EM, perhaps you can check out the comprehensive book by J.M.Jin. For the FDTD method, check out the 2 books by Taflove. His later book contains a whole section on PML. The guys to search for in the literature who did quite some work in PML are J.P.Berenger and F.L.Teixeira. There's also a recent book published by IEEE Press by Mittra, etc. which provides a good framework for numerical methods in EM problems. Wei-Choon. -- ============================================================================== From: rnh@gmrc.gecm.com (Richard Herring) Subject: Re: Numerical solution of Maxwell's equations Date: 10 Dec 1999 12:22:05 GMT Newsgroups: sci.math.num-analysis In article <82q96m$aui$1@vixen.cso.uiuc.edu>, wei-choon ng (wng@ux13.cso.uiuc.edu) wrote: > Bruno Carpentieri wrote: > > Hi ! Is anybody involved in the numerical solution of Maxwell's > > equations ? > > I would be interested to know which discretization sheme he uses > > (Finite Difference Methods, Finite Element Methods, Perfectly > > Matched Layer, Boundary Element Method) to have a comparative > > idea of the performance. > If you would just take a look at the literature, the vast volume of FD and > FE papers in electromagnetics may just scare the hell out of you. Perhaps And don't overlook such things as split-step DFT solutions of parabolic-equation methods and Haselgrove raytracing (solution of Hamilton's canonical equations), which also have their uses and an equally large literature. -- Richard Herring |