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Computation of Minimum Energy Paths for Quasi-Linear Problems

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

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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Chamard, J
Otta, J
Date : 2011
DOI : 10.1007/s10915-011-9462-x
Additional Information : The original publication is available at
Depositing User : Symplectic Elements
Date Deposited : 13 Jun 2012 11:35
Last Modified : 12 Aug 2019 14:26

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