Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg–Landau functionals |
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| Authors: | Nauman Raza Sultan Sial Shahid S Siddiqi |
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| Institution: | 1. Department of Mathematics, University of the Punjab, House No. 15, Street No. 39, Lahore, Punjab 54840, Pakistan;2. Lahore University of Management Sciences, Lahore, Pakistan;3. Department of Mathematics, Lahore University of Management Sciences, Opposite Sector U, DHA, Lahore Cantt. 54792, Pakistan |
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| Abstract: | The Sobolev gradient technique has been discussed previously in this journal as an efficient method for finding energy minima of certain Ginzburg–Landau type functionals S. Sial, J. Neuberger, T. Lookman, A. Saxena, Energy minimization using Sobolev gradients: application to phase separation and ordering, J. Comput. Phys. 189 (2003) 88–97]. In this article a Sobolev gradient method for the related time evolution is discussed. |
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