{
  "id": "2212.11010",
  "version": "v1",
  "published": "2022-12-21T13:30:55.000Z",
  "updated": "2022-12-21T13:30:55.000Z",
  "title": "Parallel kinetic schemes for conservation laws, with large time steps",
  "authors": [
    "Pierre Gerhard",
    "Philippe Helluy",
    "Victor Michel-Dansac",
    "Bruno Weber"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the assembly and resolution of large linear systems for the time iterations. The approach is based on a kinetic representation of the system of conservation laws previously investigated by the authors. In this paper, the approach is extended with a subdomain strategy that improves the parallel scaling of the method on computers with distributed memory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T13:30:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M60",
      "65Y05"
    ],
    "keywords": [
      "large time steps",
      "conservation laws",
      "parallel kinetic schemes",
      "parallel discontinuous galerkin method",
      "large linear systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}