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Shape Optimization Involving Eigenvalues of Laplace-Beltrami Operator

PDE and Applied Math Seminar

Speaker: Chiu-yen Kao, Ohio State Univ./Claremont McKenna College
Location: 1147 MSB
Start time: Tue, Oct 9 2012, 3:10PM

In this talk, an efficient algorithm is presented for shape optimization involving eigenvalues of Laplace-Beltrami operator. The closest point method is adapted to solve the forward eigenvalue problems on surfaces in a simple and efficient way. The optimal shape is achieved by an iterative method based on the efficient rearrangement algorithm. Unlike classical iterative approaches based on shape or topological derivative, the new method can obtain the optimal shape in just a few iterations.