{
  "id": "1201.2878",
  "version": "v1",
  "published": "2012-01-13T16:08:47.000Z",
  "updated": "2012-01-13T16:08:47.000Z",
  "title": "Implementation of the Continuous-Discontinuous Galerkin Finite Element Method",
  "authors": [
    "Andrea Cangiani",
    "John Chapman",
    "Emmanuil Georgoulis",
    "Max Jensen"
  ],
  "comment": "Enumath 2011",
  "doi": "10.1007/978-3-642-33134-3_34",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "For the stationary advection-diffusion problem the standard continuous Galerkin method is unstable without some additional control on the mesh or method. The interior penalty discontinuous Galerkin method is stable but at the expense of an increased number of degrees of freedom. The hybrid method proposed in [5] combines the computational complexity of the continuous method with the stability of the discontinuous method without a significant increase in degrees of freedom. We discuss the implementation of this method using the finite element library deal.ii and present some numerical experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-13T16:08:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous-discontinuous galerkin finite element method",
      "implementation",
      "interior penalty discontinuous galerkin method",
      "finite element library deal",
      "standard continuous galerkin method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.2878C"
    }
  }
}