TY - JOUR
T1 - Analysis and Convergence of a Covolume Approximation of the Ginzburg-Landau Model of Superconductivity
AU - Du, Qiang
AU - Nicolaides, R. A.
AU - Wu, Xiaonan
N1 - Funding information:
Department of Mathematics, Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong ([email protected]). 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 ([email protected]). Research is supported in part by the FRG grant from the Hong Kong Baptist University.
Publisher copyright:
Copyright © 1998 Society for Industrial and Applied Mathematics
PY - 1998/5
Y1 - 1998/5
N2 - 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.
AB - 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.
KW - Convergence analysis
KW - Covolume approximations
KW - Gauge invariance
KW - Ginzburg-Landau model of superconductivity
UR - http://www.scopus.com/inward/record.url?scp=0009898683&partnerID=8YFLogxK
U2 - 10.1137/S0036142996302852
DO - 10.1137/S0036142996302852
M3 - Journal article
AN - SCOPUS:0009898683
SN - 0036-1429
VL - 35
SP - 1049
EP - 1072
JO - SIAM Journal on Numerical Analysis
JF - SIAM Journal on Numerical Analysis
IS - 3
ER -