Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg–Landau functionals

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• 作者：Nauman Raza ; Sultan Sial ; Shahid S. Siddiqi
• 关键词：Sobolev gradient ; Model A
• 刊名：Journal of Computational Physics
• 出版年：2009
• 出版时间：20 April 2009
• 年：2009
• 卷：228
• 期：7
• 页码：2566-2571
• 全文大小：204 K

文摘

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.