{
  "id": "1501.06211",
  "version": "v1",
  "published": "2015-01-25T21:13:45.000Z",
  "updated": "2015-01-25T21:13:45.000Z",
  "title": "Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization",
  "authors": [
    "James Turner",
    "Michal Kocvara",
    "Daniel Loghin"
  ],
  "comment": "4th Annual BEAR PGR Conference 2013, University of Birmingham, UK",
  "categories": [
    "math.OC",
    "math.NA"
  ],
  "abstract": "In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, our approach aims to target the resulting interface problem, allowing for the parallel computation of solutions in an efficient manner. As a major application of our work, we apply our results to the field of topology optimization, where typical solvers require repeated solutions of linear elasticity problems resulting from the use of a Picard approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-25T21:13:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topology optimization",
      "parallel solution",
      "equations governing linear elasticity",
      "picard approach",
      "major application"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}