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June 2003 Level Set Method for Shape Optimization of Plate Piezoelectric Patches
Jianying Zhang
Methods Appl. Anal. 10(2): 329-346 (June 2003).

Abstract

We consider a vibrating system with piezoelectric patches whose minimum vibration frequency is to be minimized subject to some constraint on the patch geometry. A numerical scheme is constructed using the level set method devised in [12] and the projected gradient method devised in [14] to optimize the patch geometry. An integral equation approach introduced in [4, 17, 20, 21] is also presented for the computation of the corresponding eigenvalue problem.

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Jianying Zhang. "Level Set Method for Shape Optimization of Plate Piezoelectric Patches." Methods Appl. Anal. 10 (2) 329 - 346, June 2003.

Information

Published: June 2003
First available in Project Euclid: 17 June 2005

zbMATH: 1051.74034
MathSciNet: MR2074755

Rights: Copyright © 2003 International Press of Boston

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Vol.10 • No. 2 • June 2003
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