{
  "id": "0907.5231",
  "version": "v1",
  "published": "2009-07-29T22:45:23.000Z",
  "updated": "2009-07-29T22:45:23.000Z",
  "title": "Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces",
  "authors": [
    "Alexei Bespalov",
    "Norbert Heuer",
    "Ralf Hiptmair"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements (BEM) of locally variable polynomial degree on shape-regular surface meshes. We establish asymptotic quasi-optimality of Galerkin solutions on sufficiently fine meshes or for sufficiently high polynomial degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-29T22:45:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N38",
      "65N12",
      "78M15",
      "65N38"
    ],
    "keywords": [
      "electric field integral equation",
      "polyhedral surfaces",
      "natural hp-bem",
      "convergence",
      "shape-regular surface meshes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.5231B"
    }
  }
}