Implementation of Some Methods of Shape Design for Variational Inequalities  

作　　者：BUTT Rizwa~ 

机构地区：[1]Mathematics Department, College of Science, King Saud University, P. 0. Box 2455,Riyadh 11451, Saudi Arabia.

出　　处：《Journal of Partial Differential Equations》2013年第2期122-137,共16页偏微分方程（英文版）

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.

关 键 词：Sobolev space CONVEXITY optimal shape design variational inequalities approxima-tion optimization techniques finite element method material derivative method. 

分 类 号：O175.2[理学—数学]