Implementation of Some Methods of Shape Design for Variational Inequalities

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.