Implementation of Some Methods of Shape Design for Variational Inequalities

作     者：BUTT Rizwa~ 

作者机构：Mathematics Department College of Science King Saud University P. 0. Box 2455Riyadh 11451 Saudi Arabia. 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2013年第26卷第2期

页      面：122-137页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：King Saud University  Deanship of Scientific Research  College of Science  Research Center 

主　　题：Sobolev space convexity optimal shape design variational inequalities approxima-tion optimization techniques finite element method material derivative method. 

摘      要：In this paper we present some results concerning the optimal shape design problem governed by the fourth-order variational inequalities. The problem can be considered as a model example for the design of the shapes for elastic-plastic problem. The computations are done by finite element method, and the performance criterion is minimized by the material derivative method. We also discuss the error estimates in the appropriate norm and present some numerical results. An example is used to clearly illustrate the essential elements of shape design problems.