Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities

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. Keywords. Variational inequalities, discontinuous Galerkin method, error analysis AMS Classification. 65N30, 49J40

• Type: Journal
• Year: 2010
• Where: SIAMNUM
• Authors: Fei Wang, Weimin Han, Xiao-Liang Cheng
• Keywords: Discontinuous Galerkin, Discontinuous Galerkin Method, SIAMNUM 2010, Variational Inequalities