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A boundary-perturbation finite element approach for shape optimization

✍ Scribed by Dan Givoli; Tatyana Demchenko

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
176 KB
Volume
47
Category
Article
ISSN
0029-5981

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✦ Synopsis

A numerical method is proposed for the e cient solution of shape optimization problems, which combines the boundary perturbation technique and ÿnite element analysis. The method is computationally e cient in that it requires a number of ÿnite element analyses with a ÿxed geometry, as opposed to standard shape optimization which requires re-analysis with varying geometry. The application of the method to general shape optimization is considered. In addition, a special optimization scheme is devised for a class of problems governed by linear partial di erential equations. The performance of the method is illustrated via an example which involves acoustic wave scattering from an obstacle.

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