A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem

• Thirupathi Gudi ^[1] ; Kamana Porwal ^[1]
  1. [1] Indian Institute of Science, Bangalore, India
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 257-278
• Idioma: inglés
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• Resumen

  • A reliable and efficient a posteriori error estimator is derived for a class of discontinuous Galerkin (DG) methods for the Signorini problem. A common property shared by many DG methods leads to a unified error analysis with the help of a constraint preserving enriching map. The error estimator of DG methods is comparable with the error estimator of the conforming methods. Numerical experiments illustrate the performance of the error estimator.