Fifth Mississippi State Conference on Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2003, pp. 241-250.

Computational simulation of vortex phenomena in superconductors

John W. Neuberger & Robert J. Renka

Abstract:
We have developed a numerical method for approximating critical points of the Ginzburg-Landau functional. We briefly describe the capabilities of our codes and present some test results for the two-dimensional case in the form of plots of electron densities and magnetic fields. Our results demonstrate that vortices can be pinned to small holes corresponding to normal (non-superconducting) regions.

Published February 28, 2003.
Subject classifications: 35J50, 64K10, 81V99.
Key words: Ginzburg-Landau functional, superconductivity, Sobolev gradient.

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John W. Neuberger
Department of Mathematics
University of North Texas
Denton, TX 76203-1430, USA
e-mail: jwn@unt.edu
Robert J. Renka
Department of Computer Sciences
University of North Texas
Denton, TX 76203-1366, USA
e-mail: renka@cs.unt.edu

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