{
  "id": "1709.04003",
  "version": "v1",
  "published": "2017-09-12T18:15:13.000Z",
  "updated": "2017-09-12T18:15:13.000Z",
  "title": "A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation",
  "authors": [
    "Susanne C. Brenner",
    "Amanda E. Diegel",
    "Li-Yeng Sung"
  ],
  "comment": "16 pages, 8 figures, 4 tables",
  "categories": [
    "math.NA"
  ],
  "abstract": "We develop a robust solver for a mixed finite element convex splitting scheme for the Cahn-Hilliard equation. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spacial mesh size and the time step size for a given interfacial width parameter. The dependence on the interfacial width parameter is also mild.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-12T18:15:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M60",
      "65M55"
    ],
    "keywords": [
      "mixed finite element method",
      "cahn-hilliard equation",
      "robust solver",
      "interfacial width parameter",
      "finite element convex splitting scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}