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

Preprint

10 April 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0304043

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

ENERGY MINIMIZATION
MINIMIZATION USING
ENERGY FUNCTIONALS
SOBOLEV GRADIENTS
PATTERN FORMATION
PHASE SEPARATION
CRITICAL POINTS
USING SOBOLEV

All Related Versions

Version 1, 2003-04-10, ArXiv
Published version: Journal of Computational Physics, 189 (1), 88.

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