{
  "id": "1403.6580",
  "version": "v1",
  "published": "2014-03-26T07:33:28.000Z",
  "updated": "2014-03-26T07:33:28.000Z",
  "title": "Cut Finite Element Methods for Coupled Bulk-Surface Problems",
  "authors": [
    "Erik Burman",
    "Peter Hansbo",
    "Mats G. Larson",
    "Sara Zahedi"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and $L^2$ norms of the error. Using stabilization terms we show that the resulting algebraic system of equations has a similar condition number as a standard fitted finite element method. Finally, we present a numerical example illustrating the accuracy and the robustness of our approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-26T07:33:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30"
    ],
    "keywords": [
      "cut finite element method",
      "coupled bulk-surface problems",
      "fitted finite element method",
      "elliptic coupled bulk-surface model",
      "order elliptic coupled bulk-surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.6580B"
    }
  }
}