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A posteriori error estimates for discontinuous Galerkin methods of obstacle problems
Journal article   Peer reviewed

A posteriori error estimates for discontinuous Galerkin methods of obstacle problems

Fei Wang, Weimin Han, Joseph Eichholz and Xiaoliang Cheng
Nonlinear analysis: real world applications, Vol.22, pp.664-679
04/2015
DOI: 10.1016/j.nonrwa.2014.08.011

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Abstract

We present a posteriori error analysis of discontinuous Galerkin methods for solving the obstacle problem, which is a representative elliptic variational inequality of the first kind. We derive reliable error estimators of the residual type. Efficiency of the estimators is theoretically explored and numerically confirmed.
Discontinuous Galerkin method Residual-type error estimator A posteriori error estimate Elliptic variational inequality

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