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

  • Authors:

  • S. Sial;J. Neuberger;T. Lookman;A. Saxena

  • Affiliations:

  • Department of Applied Mathematics, University of Western Ontario, London, Ont., Canada N6A 5B7;Department of Mathematics, University of North Texas, Denton, TX;Department of Applied Mathematics, University of Western Ontario, London, Ont., Canada N6A 5B7 and Theoretical Division, Los Alamos National Laboratory, MS B262, Los Alamos, NM;Theoretical Division, Los Alamos National Laboratory, MS B262, Los Alamos, NM

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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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.