{
  "id": "0710.1747",
  "version": "v1",
  "published": "2007-10-09T12:18:48.000Z",
  "updated": "2007-10-09T12:18:48.000Z",
  "title": "Manifold and metric in numerical solution of the quasi-static electromagnetic boundary value problems",
  "authors": [
    "Pasi Raumonen",
    "Saku Suuriniemi",
    "Timo Tarhasaari",
    "Lauri Kettunen"
  ],
  "comment": "25 pages, 12 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Classical vector analysis is the predominant formalism used by engineers of computational electromagnetism, despite the fact that manifold as a theoretical concept has existed for a century. This paper discusses the benefits of manifolds over the traditional approach in practical problems of modelling. With a structural approach, it outlines the role and interdependence of coordinate systems, metric, constitutive equations, and fields, and relates them to practical problems of quasi-static computational electromagnetics: mesh generation, open-boundary problems, and electromagnetic-mechanical coupled problems involving motion and deformation. The proposed procedures also imply improvements to the flexibility of the modelling software.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-09T12:18:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35K20",
      "53B50",
      "58A99"
    ],
    "keywords": [
      "quasi-static electromagnetic boundary value problems",
      "numerical solution",
      "practical problems",
      "quasi-static computational electromagnetics",
      "predominant formalism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1747R"
    }
  }
}