Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem

preprint2014arXivOpen access

Abstract

A posteriori error estimators are studied for discontinuous Galerkin methods for solving a frictional contact problem, which is a representative elliptic variational inequality of the second kind. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are shown.

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