Computation of Minimum Energy Paths for Quasi-Linear Problems
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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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Official URL: http://dx.doi.org/10.1007/s10915-011-9462-x
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 |
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| Additional Information: | The original publication is available at http://www.springerlink.com |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 294639 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 13 Jun 2012 12:35 |
| Last Modified: | 24 Jan 2013 09:31 |
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