{
  "id": "2210.00229",
  "version": "v1",
  "published": "2022-10-01T09:35:55.000Z",
  "updated": "2022-10-01T09:35:55.000Z",
  "title": "Stability analysis of the perfectly matched layer for the elastic wave equation in layered media",
  "authors": [
    "Kenneth Duru",
    "Siyang Wang"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper, we present the stability analysis of the perfectly matched layer (PML) in two-space dimensional layered elastic media. Using normal mode analysis we prove that all interface wave modes present at a planar interface of bi-material elastic solids are dissipated by the PML. Numerical experiments in two-layer and multi-layer elastic solids corroborate the theoretical analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-01T09:35:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M06",
      "65M12"
    ],
    "keywords": [
      "perfectly matched layer",
      "elastic wave equation",
      "stability analysis",
      "layered media",
      "two-space dimensional layered elastic media"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}