TY - JOUR T1 - Error Analysis and Global Superconvergences for the Signorini Problem with Lagrange Multiplier Methods AU - Luo , Ping AU - Liang , Guo-Ping JO - Journal of Computational Mathematics VL - 1 SP - 79 EP - 88 PY - 2002 DA - 2002/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8900.html KW - Lagrange multipliers, Elastic contact, Error estimates, Superconvergences. AB -
In this paper, the finite element approximation of the Signorini problem is studied by using Lagrange multiplier methods with piecewise constant elements. Optimal error bounds are obtained and iterative algorithm and its convergence are given. Furthermore, global superconvergences are proved.