Discontinuous Galerkin methods for solving the Signorini problem

By Fei Wang, Weimin Han, Xiaoliang Cheng. IMA Journal of Numerical Analysis, 2011

59 citations recorded by the source corpus.

We study several discontinuous Galerkin methods (DGMs) 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.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6492e20929c21144fbcf8e4c8bff69eaf26bba50