{
  "id": "2408.14745",
  "version": "v1",
  "published": "2024-08-27T02:48:34.000Z",
  "updated": "2024-08-27T02:48:34.000Z",
  "title": "A New Mixed Finite Element Method For The Cahn-Hilliard Equation",
  "authors": [
    "Zhen Liu",
    "Rui Ma",
    "Min Zhang"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "This paper presents a new mixed finite element method for the Cahn-Hilliard equation. The well-posedness of the mixed formulation is established and the error estimates for its linearized fully discrete scheme are provided. Numerical experiments are given to validate the efficiency and accuracy of the theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-27T02:48:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mixed finite element method",
      "cahn-hilliard equation",
      "error estimates",
      "linearized fully discrete scheme",
      "well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}