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
continua_paper.pdf - Accepted Version
Available under License : See the attached licence file.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Identification Number :||10.1007/s10915-011-9462-x|
|Additional Information :||The original publication is available at http://www.springerlink.com|
|Depositing User :||Symplectic Elements|
|Date Deposited :||13 Jun 2012 11:35|
|Last Modified :||23 Sep 2013 19:18|
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