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Free surfaces: shape sensitivity analysis and numerical methods

✍ Scribed by Kari T. Kärkkäinen; Timo Tiihonen

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
165 KB
Volume
44
Category
Article
ISSN
0029-5981

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✦ Synopsis

In this paper we consider numerical methods for stationary free boundary problems. We start by analysing systematically di erent shape optimization formulations of a model problem and show how the optimality conditions relate to construction of trial type methods. Shape sensitivity analysis of the free boundary leads also to the so-called total linearization method which combines the good properties of Newton method and trial methods, i.e. fast convergence and relative simplicity of implementation. Detailed implementation for a model problem together with numerical tests is presented.

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