{
  "id": "0905.4946",
  "version": "v1",
  "published": "2009-05-29T19:05:40.000Z",
  "updated": "2009-05-29T19:05:40.000Z",
  "title": "The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis",
  "authors": [
    "Alexei Bespalov",
    "Norbert Heuer"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "This paper presents an a priori error analysis of the hp-version of the boundary element method for the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. We use H(div)-conforming discretisations with Raviart-Thomas elements on a sequence of quasi-uniform meshes of triangles and/or parallelograms. Assuming the regularity of the solution to the electric field integral equation in terms of Sobolev spaces of tangential vector fields, we prove an a priori error estimate of the method in the energy norm. This estimate proves the expected rate of convergence with respect to the mesh parameter h and the polynomial degree p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-29T19:05:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N38",
      "65N15",
      "78M15",
      "41A10"
    ],
    "keywords": [
      "electric field integral equation",
      "priori error analysis",
      "quasi-uniform meshes",
      "polyhedral surfaces",
      "boundary element method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.4946B"
    }
  }
}