{ "id": "0908.4448", "version": "v6", "published": "2009-08-31T02:45:34.000Z", "updated": "2009-12-29T02:56:19.000Z", "title": "Computation of Maxwell's equations on Manifold using DEC", "authors": [ "Zheng Xie", "Yujie Ma" ], "comment": "19 pages,6 figures", "categories": [ "math.NA" ], "abstract": "In this paper, the method of discrete exterior calculus for numerically solving Maxwell's equations in space manifold and the time is discussed, which is a kind of lattice gauge theory. The analysis of its stable condition and error is also accomplished. This algorithm has been implemented on C++ plateform for simulating TE/M waves in vacuum.", "revisions": [ { "version": "v6", "updated": "2009-12-29T02:56:19.000Z" } ], "analyses": { "subjects": [ "65M99", "65K99", "65N99", "02.60.Cb", "41.20.Jb" ], "keywords": [ "computation", "discrete exterior calculus", "lattice gauge theory", "space manifold", "simulating te/m waves" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "inspire": 829942, "adsabs": "2009arXiv0908.4448X" } } }