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Title: Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity
Authors: Du, Qiang
Nicolaides, R. A.
Wu, Xiaonan
Keywords: Ginzburg-Landau model of superconductivity
Covolume approximations
Gauge invariance
Convergence analysis
Issue Date: Jun-1998
Citation: SIAM journal on numerical analysis, v. 35, no. 3, p. 1049-1072
Abstract: In this paper, we present the mathematical analysis of a covolume method for the approximations of the Ginzburg--Landau (GL) model for superconductivity. A nice feature of this approach is that the gauge invariance properties are retained in discrete approximations based on triangular grids. We also use properties of discrete vector fields to study issues such as the gauge choices and their enforcement.
Rights: Copyright © SIAM. This paper is made available with permission of the Society for Industrial and Applied Mathematics for limited noncommerical distribution only.
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