{
  "id": "1102.5259",
  "version": "v1",
  "published": "2011-02-25T14:43:32.000Z",
  "updated": "2011-02-25T14:43:32.000Z",
  "title": "Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation",
  "authors": [
    "Sebastian Bielski"
  ],
  "comment": "15 pages, 3 figures, 2 tables",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Two methods for computing bound states of the Helmholtz equation in a finite domain are presented. The methods are formulated in terms of the Dirichlet-to-Neumann (DtN) and Neumann-to-Dirichlet (NtD) surface integral operators. They are adapted from the DtN and NtD methods for bound states of the Schrodinger equation in R^3. A variational principle that enables the usage of the operators is constructed. The variational principle allows the use of discontinuous (in values or derivatives) trial functions. A numerical example presenting the usefulness of the DtN and NtD methods is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-25T14:43:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Jxx"
    ],
    "keywords": [
      "helmholtz equation",
      "neumann-to-dirichlet methods",
      "dirichlet-to-neumann",
      "variational principle",
      "ntd methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5259B"
    }
  }
}