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Computational methods for an optimal partition problem on surfaces

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If you have a question about this talk, please contact Mustapha Amrani.

Free Boundary Problems and Related Topics

In this talk I will explore computational techniques for solving a free boundary problem posed on a surface. The problem is to divide a surface into regions such that the sum of the first eigenvalue of the Dirichlet Laplace-Beltrami operator over each region is minimized. Different relaxations of this problem will be explored. Each takes the form of large system of partial differential equations which will be solved using algorithms designed for high performance computing techniques.

This talk is part of the Isaac Newton Institute Seminar Series series.

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