### Computational methods for an optimal partition problem on surfaces

Ranner, T *(University of Leeds)*

Wednesday 25 June 2014, 14:50-15:20

Seminar Room 1, Newton Institute

#### Abstract

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.

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