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Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
Journal article   Peer reviewed

Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities

Fei Wang, Weimin Han and Xiao-liang Cheng
SIAM journal on numerical analysis, Vol.48(2), pp.708-733
01/2010
DOI: 10.1137/09075891X

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Abstract

We study discontinuous Galerkin methods for solving elliptic variational inequalities of both the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic boundary value problems is extended to the variational inequalities. We establish a priori error estimates for the discontinuous Galerkin methods, which reach optimal order for linear elements. Results from some numerical examples are reported.

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