{
  "id": "1312.2351",
  "version": "v1",
  "published": "2013-12-09T09:26:09.000Z",
  "updated": "2013-12-09T09:26:09.000Z",
  "title": "Optimal control of Allen-Cahn systems",
  "authors": [
    "Luise Blank",
    "M. Hassan Farshbaf-Shaker",
    "Claudia Hecht",
    "Josef Michl",
    "Christoph Rupprecht"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "Optimization problems governed by Allen-Cahn systems including elastic effects are formulated and first-order necessary optimality conditions are presented. Smooth as well as obstacle potentials are considered, where the latter leads to an MPEC. Numerically, for smooth potential the problem is solved efficiently by the Trust-Region-Newton-Steihaug-cg method. In case of an obstacle potential first numerical results are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-09T09:26:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J40",
      "49K20",
      "49J20",
      "49M15",
      "74P99"
    ],
    "keywords": [
      "allen-cahn systems",
      "optimal control",
      "first-order necessary optimality conditions",
      "obstacle potential first numerical results",
      "optimization problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2351B"
    }
  }
}