The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Table of Contents - 1993 - Volume 35, Issue 01  

Research Article

Optimal shape design for a nozzle problem

R. Butta1

a1 Centre for Advanced Studies in Pure & Appl. Maths, Bahauddin Zakaryia University, Pakistan

Abstract

In this paper, a gradient method is developed for the optimal shape design in a nozzle problem described by variational inequalities. It is known that this method can be used for the optimal shape design for systems described by partial differential equations (Pironneau [6]); it is used here for differential inequalities by taking limits of the expression resulting from an approximations scheme. The computations are done by the finite element method; the gradient of the criteria as a function of the coordinates nodes is computed, and the performance criterion is then minimised by the gradient method.

(Received June 14 1991)

(Revised March 11 1992)