English

Energy minimization using Sobolev gradients: application to phase separation and ordering

Computational Physics 2009-11-10 v1

Abstract

A common problem in physics and engineering is the calculation of the minima of energy functionals. The theory of Sobolev gradients provides an efficient method for seeking the critical points of such a functional. We apply the method to functionals describing coarse-grained Ginzburg-Landau models commonly used in pattern formation and ordering processes.

Keywords

Cite

@article{arxiv.physics/0304043,
  title  = {Energy minimization using Sobolev gradients: application to phase separation and ordering},
  author = {S. Sial and J. Neuberger and T. Lookman and A. Saxena},
  journal= {arXiv preprint arXiv:physics/0304043},
  year   = {2009}
}

Comments

To appear J. Computational Physics