J Austral Math Soc Ser B 35 pp71--86, 1993.

Optimal shape design for a nozzle problem

R. Butt

(Received 14 June 1991; revised 11 March 1992)

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.

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Author

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

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