A combined finite element and Bayesian optimization framework for shape optimization in spectral geometry

Sebastián Domínguez
Sebastián Domínguez

Computers & Mathematics with Applications, pp. 2874-2896, 2017.

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Keywords:
58C4065N2565N3049Q1090C56

Abstract:

We present a novel computational framework for shape optimization problems arising in spectral geometry. The goal in such problems is to identify domains in Rd which are the global optima of certain functions of the spectrum of elliptic operators on the domains. We propose the use of a combined finite element and Bayesian optimization (FE...More

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