ERROR ANALYSIS AND GLOBAL SUPERCONVERGENCES FOR THE SIGNORINI PROBLEM WITH LAGRANGE MULTIPLIER METHODS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Lagrange multipliers Elastic contact Error estimates Superconvergences.
• 年，卷（期）: 2002,（1）
• 页码范围: 79-88
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

In this paper, the finite element approximation of the Signorini problem is studiedby using Lagrange multiplier methods with piecewise constant elements. Optimal errorbounds are obtained and iterative algorithm and its convergence are given. Furthermore,global superconvergences are proved.