{
  "id": "1404.3451",
  "version": "v1",
  "published": "2014-04-14T02:38:34.000Z",
  "updated": "2014-04-14T02:38:34.000Z",
  "title": "A fast direct solver for high frequency scattering from a large cavity in two dimensions",
  "authors": [
    "Jun Lai",
    "Sivaram Ambikasaran",
    "Leslie F. Greengard"
  ],
  "comment": "15 pages, 9 figures. Contact author for animation",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half space. The governing Maxwell equations are reformulated as a well-conditioned second kind integral equation and the resulting linear system is solved in nearly linear time using a hierarchical matrix factorization technique. We illustrate the performance of the scheme with several numerical examples for complex cavity shapes over a wide range of frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-14T02:38:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "97N40",
      "65F05",
      "45B05",
      "45A05",
      "G.1",
      "G.1.3"
    ],
    "keywords": [
      "fast direct solver",
      "high frequency scattering",
      "large cavity",
      "perfectly conducting half space",
      "dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3451L"
    }
  }
}