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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