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

Physics – Computational Physics

Scientific paper

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To appear J. Computational Physics

Scientific paper

10.1016/S0021-9991(03)00202-X

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.

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