{
  "id": "1203.2360",
  "version": "v1",
  "published": "2012-03-11T18:57:42.000Z",
  "updated": "2012-03-11T18:57:42.000Z",
  "title": "Parareal in time intermediate targets methods for optimal control problem",
  "authors": [
    "Yvon Maday",
    "Mohamed-Kamel Riahi",
    "Julien Salomon"
  ],
  "comment": "14 pages",
  "categories": [
    "math.OC",
    "math.NA"
  ],
  "abstract": "In this paper, we present a method that enables solving in parallel the Euler-Lagrange system associated with the optimal control of a parabolic equation. Our approach is based on an iterative update of a sequence of intermediate targets that gives rise to independent sub-problems that can be solved in parallel. This method can be coupled with the parareal in time algorithm. Numerical experiments show the efficiency of our method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-11T18:57:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J20",
      "68W10"
    ],
    "keywords": [
      "time intermediate targets methods",
      "optimal control problem",
      "parabolic equation",
      "independent sub-problems",
      "time algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.2360M"
    }
  }
}