Second-order numerical method for domain optimization problems |
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| Authors: | Y. Goto N. Fujii |
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| Affiliation: | (1) Department of Control Engineering, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan;(2) Present address: Kawasaki Steel Company, Chiba, Japan |
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| Abstract: | This paper is concerned with a second-order numerical method for shape optimization problems. The first variation and the second variation of the objective functional are derived. These variations are discretized by introducing a set of boundary-value problems in order to derive the second-order numerical method. The boundary-value problems are solved by the conventional finite-element method.The authors would like to express their thanks to Mr. T. Masanao, who was an undergraduate student, for his cooperation and comments. They also thank Professor Y. Sakawa of Osaka University for his encouragement.A part of this paper was presented at the IFIP Conference on Control of Boundaries and Stabilization, Clermont-Ferrand, France, 1988. |
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| Keywords: | Second-order numerical methods domain optimization boundary-value problems Newton method adjoint variables |
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