{
  "id": "1911.08692",
  "version": "v1",
  "published": "2019-11-20T03:56:52.000Z",
  "updated": "2019-11-20T03:56:52.000Z",
  "title": "Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model",
  "authors": [
    "Yuwen Li",
    "Ludmil T. Zikatanov"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot's consolidation model. The error estimator is an upper and lower bound of the space time discretization error up to data oscillation. As a by-product, we also obtain new a posteriori error estimate of mixed finite element methods for the heat equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-20T03:56:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N15",
      "65N30"
    ],
    "keywords": [
      "posteriori error estimate",
      "biots consolidation model",
      "mixed methods",
      "mixed finite element methods",
      "space time discretization error"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}