You can download my paper about shape optimization here:
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains by Chiu-Yen Kao, Yuan Lou and Eiji Yanagida, Mathematical Biosciences and Engineering 5(2), Pages 315-335, 2008
Maximization of the Quality Factor of an Optical Resonator by Chiu-Yen Kao and Fadil Santosa, Wave Motion 45(4), Pages 412-427, 2008
Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods by Lin He, Chiu-Yen Kao and Stanley Osher, UCLA Math CAM Report 06-44, Journal of Computational Physics, 225, Pages 891-909,2007
Maximizing Band Gaps in Two Dimensional Photonic Crystals by Using Level Set Methods by Chiu-Yen Kao, Stanley Osher, and Eli Yablonovitch, UCLA Math CAM Reports 05-05, Applied Physics B: Lasers and Optics, 81, Pages 235-244,2005