{
  "id": "1910.10148",
  "version": "v1",
  "published": "2019-10-22T15:11:53.000Z",
  "updated": "2019-10-22T15:11:53.000Z",
  "title": "WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation",
  "authors": [
    "Daniel Appelo",
    "Fortino Garcia",
    "Olof Runborg"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "A new idea for iterative solution of the Helmholtz equation is presented. We show that the iteration which we denote WaveHoltz and which filters the solution to the wave equation with harmonic data evolved over one period, corresponds to a coercive operator or a positive definite matrix in the discretized case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-22T15:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M22",
      "65M12"
    ],
    "keywords": [
      "helmholtz equation",
      "wave equation",
      "iterative solution",
      "denote waveholtz",
      "harmonic data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}