Abstract
Shape Optimization for Elliptic Eigenvalue Problems
Chiu-Yen Kao
Ohio State University
Identification or optimization of shapes arises in many science and engineering applications. In this talk, we focus on the optimal shape design related to elliptic eigenvalue problems. Specific applications for identifying structures of photonic crystal, optimization of quality factor of an acoustic resonator, and determining the optimal spatial arrangement of favorable and unfavorable regions for a species to survive will be discussed
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