✦ LIBER ✦

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

✍ Scribed by Nauman Raza; Sultan Sial; Shahid S. Siddiqi

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 205 KB
Volume: 228
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.12.017

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Approximating time evolution related to

Approximating time evolution related to Ginzburg–Landau functionals via Sobolev gradient methods in a finite-element setting

✍ Nauman Raza; Sultan Sial; S. Siddiqi 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Sobolev gradients have previously been used to approximate time evolution related to a model A functional in a finite-difference setting in this journal. Here a related approach in a finite-element setting is discussed.