Second-order necessary optimality conditions for domain optimization problems of the Neumann type |
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Authors: | Y Goto N Fujii Y Muramatsu |
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Institution: | (1) Department of Control Engineering, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan |
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Abstract: | In this paper, we treat a domain optimization problem in which the boundary-value problem is a Neumann problem. In the case where the domain is in a three-dimensional Euclidean space, the first-order and the second-order necessary conditions which the optimal domain must satisfy are derived under a constraint which is the generalization of the requisite of constant volume.Portions of this paper were presented at the 13th IFIP Conference on System Modelling and Optimization, Tokyo, Japan, 1987. |
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Keywords: | Domain optimization Neumann problems second variation second-order necessary conditions |
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