{
  "id": "1401.8220",
  "version": "v1",
  "published": "2014-01-31T16:44:03.000Z",
  "updated": "2014-01-31T16:44:03.000Z",
  "title": "Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries",
  "authors": [
    "Rui M. P. Almeida",
    "José C. M. Duque",
    "Jorge Ferreira",
    "Rui J. Robalo"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "The aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using a linearized Crank-Nicolson-Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite elements methods are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-31T16:44:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "65M15",
      "65M60"
    ],
    "keywords": [
      "nonlocal parabolic systems",
      "moving boundaries",
      "moving finite elements methods",
      "convergence",
      "linearized crank-nicolson-galerkin finite element method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.8220A"
    }
  }
}