@article{c730923c573c416d9b135016a14da423,
title = "Analysis and Convergence of a Covolume Approximation of the Ginzburg-Landau Model of Superconductivity",
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.",
keywords = "Convergence analysis, Covolume approximations, Gauge invariance, Ginzburg-Landau model of superconductivity",
author = "Qiang Du and Nicolaides, {R. A.} and Xiaonan Wu",
note = "Funding information: Department of Mathematics, Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong (madu@uxmail.ust.hk). Research is supported in part by the U.S. NSF MS-9500718 and in part by the grant DAG 95/96.SC18 from HKUST. Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213 (rm0m@ andrew.cmu.edu). Research is supported in part by the U.S. AFOSR under grant F49620-94-0311. ^Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong (xwu@hkbu.edu.hk). Research is supported in part by the FRG grant from the Hong Kong Baptist University. Publisher copyright: Copyright {\textcopyright} 1998 Society for Industrial and Applied Mathematics",
year = "1998",
month = may,
doi = "10.1137/S0036142996302852",
language = "English",
volume = "35",
pages = "1049--1072",
journal = "SIAM Journal on Numerical Analysis",
issn = "0036-1429",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "3",
}