{
  "id": "1409.0563",
  "version": "v1",
  "published": "2014-09-01T20:58:34.000Z",
  "updated": "2014-09-01T20:58:34.000Z",
  "title": "Trace and flux a priori error estimates in finite element approximations of Signorni-type problems",
  "authors": [
    "Olaf Steinbach",
    "Barbara Wohlmuth",
    "Linus Wunderlich"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "Variational inequalities play in many applications an important role and are an active research area. Optimal a priori error estimates in the natural energy norm do exist but only very few results in other norms exist. Here we consider as prototype a simple Signorini problem and provide new optimal order a priori error estimates for the trace and the flux on the Signorini boundary. The a priori analysis is based on the exact and a mesh-dependent Steklov-Poincar\\'e operator as well as on duality in Aubin-Nitsche type arguments. Numerical results illustrate the convergence rates of the finite element approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-01T20:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J86",
      "65N30"
    ],
    "keywords": [
      "priori error estimates",
      "finite element approximations",
      "signorni-type problems",
      "finite element approach",
      "aubin-nitsche type arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0563S"
    }
  }
}