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Computation of Minimum Energy Paths for Quasi-Linear Problems

Chamard, J, Otta, J and Lloyd, DJB (2011) Computation of Minimum Energy Paths for Quasi-Linear Problems Journal of Scientific Computing, 49 (2). 180 - 194. ISSN 1573-7691

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Abstract

We investigate minimum energy paths of the quasi-linear problem with the p-Laplacian operator and a double-well potential. We adapt the String method of E, Ren, and Vanden-Eijnden (J. Chem. Phys. 126, 2007) to locate saddle-type solutions. In one-dimension, the String method is shown to find a minimum energy path that can align along one-dimensional “ridges” of saddle-continua. We then apply the same method to locate saddle solutions and transition paths of the two-dimensional quasi-linear problem. The method developed is applicable to a general class of quasi-linear PDEs.

Item Type: Article
Additional Information: The original publication is available at http://www.springerlink.com
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 13 Jun 2012 11:35
Last Modified: 23 Sep 2013 19:18
URI: http://epubs.surrey.ac.uk/id/eprint/294639

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