@article{7a8d3dcd9b354bbeb8bc6dd1d5b3e435,
title = "Numerical Solution of the Three-Dimensional Ginzburg-Landau Models Using Artificial Boundary",
abstract = "For three-dimensional simulations of the vortex phenomena in superconductors based on the Ginzburg-Landau (GL) theory, the physical variables must be solved in the whole space in general. Exact boundary conditions on an artificial boundary are discussed to reformulate the problem in a finite domain. Approximations of these boundary conditions with high accuracy are given, and their convergence properties are examined. Error estimates are derived for the finite element approximations with the approximate boundary conditions.",
keywords = "Artificial boundary, Convergence, Finite element method, Ginzburg-Landau equations, H and l error estimates, Superconductivity, Unbounded domain",
author = "Qiang Du and Xiaonan Wu",
note = "Funding information: Department of Mathematics, Iowa State University, Ames, IA 50011, and Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong (
[email protected]). The research of this author was supported in part by NSF grant MS-9500718 and in part by a grant from HKRGC. * Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong (
[email protected]). The work of this author was supported in part by the FRG grant of Hong Kong Baptist University. Publisher copyright: Copyright {\textcopyright} 1999 Society for Industrial and Applied Mathematics",
year = "1999",
month = sep,
doi = "10.1137/S0036142997330317",
language = "English",
volume = "36",
pages = "1482--1506",
journal = "SIAM Journal on Numerical Analysis",
issn = "0036-1429",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "5",
}