{
  "id": "2401.12675",
  "version": "v1",
  "published": "2024-01-23T11:32:23.000Z",
  "updated": "2024-01-23T11:32:23.000Z",
  "title": "Analysis of a combined Filtered/phase-field approach to topology optimization in elasticit",
  "authors": [
    "Ferdinando Auricchio",
    "Michele Marino",
    "Idriss Mazari",
    "Ulisse Stefanelli"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymptotics are discussed by means of variational convergence techniques. Moreover, we investigate an abstract space discretization in the spirit of conformal finite elements. Eventually, stationarity is equivalently reformulated in terms of a Lagrangian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-23T11:32:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topology optimization",
      "filtered/phase-field approach",
      "conformal finite elements",
      "abstract space discretization",
      "variational convergence techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}