{
  "id": "1909.11320",
  "version": "v1",
  "published": "2019-09-25T07:46:32.000Z",
  "updated": "2019-09-25T07:46:32.000Z",
  "title": "Accelerating design optimization using reduced order models",
  "authors": [
    "Youngsoo Choi",
    "Geoffrey Oxberry",
    "Daniel White",
    "Trenton Kirchdoerfer"
  ],
  "comment": "20 pages, 5 figures, 5 tables, 5 algorithms",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "Although design optimization has shown its great power of automatizing the whole design process and providing an optimal design, using sophisticated computational models, its process can be formidable due to a computationally expensive large-scale linear system of equations to solve, associated with underlying physics models. We introduce a general reduced order model-based design optimization acceleration approach that is applicable not only to design optimization problems, but also to any PDE-constrained optimization problems. The acceleration is achieved by two techniques: i) allowing an inexact linear solve and ii) reducing the number of iterations in Krylov subspace iterative methods. The choice between two techniques are made, based on how close a current design point to an optimal point. The advantage of the acceleration approach is demonstrated in topology optimization examples, including both compliance minimization and stress-constrained problems, where it achieves a tremendous reduction and speed-up when a traditional preconditioner fails to achieve a considerable reduction in the number of linear solve iterations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-25T07:46:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reduced order models",
      "accelerating design optimization",
      "design optimization acceleration approach",
      "model-based design optimization acceleration",
      "order model-based design optimization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}