{
  "id": "1909.02402",
  "version": "v1",
  "published": "2019-09-05T13:38:20.000Z",
  "updated": "2019-09-05T13:38:20.000Z",
  "title": "Elastic interior transmission eigenvalues and their computation via the method of fundamental solutions",
  "authors": [
    "Andreas Kleefeld",
    "Lukas Pieronek"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and isotropic media without voids. Its algorithm can be implemented very shortly and adopts to many similar PDE-based eigenproblems as long as the underlying fundamental solution function can be easily generated. We develop a corroborative approximation analysis which also implicates new basic results for transmission eigenfunctions and present some numerical examples which together prove successful feasibility of our eigenvalue recovery approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-05T13:38:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "computation",
      "complex-valued elastic interior transmission eigenvalues",
      "fundamental solution method",
      "fundamental solution function",
      "eigenvalue recovery approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}