Wang, Fei; Han, Weimin; Cheng, Xiaoliang Discontinuous Galerkin methods for solving the Signorini problem. (English) Zbl 1315.74021 IMA J. Numer. Anal. 31, No. 4, 1754-1772 (2011). Summary: We study several discontinuous Galerkin methods for solving the Signorini problem. A unified error analysis is provided for the methods. The error estimates are of optimal order for linear elements. A numerical example is reported to illustrate numerical convergence orders. Cited in 35 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74B05 Classical linear elasticity 65N15 Error bounds for boundary value problems involving PDEs Keywords:error analysis; convergence rate PDF BibTeX XML Cite \textit{F. Wang} et al., IMA J. Numer. Anal. 31, No. 4, 1754--1772 (2011; Zbl 1315.74021) Full Text: DOI