{
  "id": "1806.11000",
  "version": "v1",
  "published": "2018-06-28T14:26:57.000Z",
  "updated": "2018-06-28T14:26:57.000Z",
  "title": "Optimal Adaptivity for the SUPG Finite Element Method",
  "authors": [
    "Christoph Erath",
    "Dirk Praetorius"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "For convection dominated problems, the streamline upwind Petrov--Galerkin method (SUPG), also named streamline diffusion finite element method (SDFEM), ensures a stable finite element solution. Based on robust a posteriori error estimators, we propose an adaptive mesh-refining algorithm for SUPG and prove that the generated SUPG solutions converge at asymptotically optimal rates towards the exact solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-28T14:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N15",
      "65N50",
      "65N12",
      "41A25",
      "76M10"
    ],
    "keywords": [
      "supg finite element method",
      "optimal adaptivity",
      "streamline diffusion finite element method",
      "named streamline diffusion finite element",
      "streamline upwind petrov-galerkin method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}