Abstract
Optimization of eigenfunctions in an inhomogeneous medium
Oleg Alexandrov
University of California, Los Angeles (UCLA)
We consider the problem of designing a medium so that the Dirichlet eigenfunction associated with it is highly localized. A challenge associated with this optimization is to provide mathematically wellposed formulations of the problem. We show two wellposed formulations, and propose a computational strategy based on projected gradients and trajectory continuation. Joint work with Fadil Santosa.
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