Elliott, CM and Ranner, T (2014) A computational approach to an optimal partition problem on surfaces. (Unpublished)
Abstract
We explore an optimal partition problem on surfaces using a computational approach. The problem is to minimise the sum of the first Dirichlet Laplace--Beltrami operator eigenvalues over a given number of partitions of a surface. We consider a method based on eigenfunction segregation and perform calculations using modern high performance computing techniques. We first test the accuracy of the method in the case of three partitions on the sphere then explore the problem for higher numbers of partitions and on other surfaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014. Published in arXiv and uploaded in accordance with the publisher's self archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Sep 2014 09:34 |
Last Modified: | 17 Jan 2018 08:40 |
Status: | Unpublished |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:80115 |