A SEMILINEAR ELLIPTIC PDE MODEL FOR THE STATIC SOLUTION OF JOSEPHSON-JUNCTIONS

Citation
Jg. Caputo et al., A SEMILINEAR ELLIPTIC PDE MODEL FOR THE STATIC SOLUTION OF JOSEPHSON-JUNCTIONS, International journal of modern physics C, 6(2), 1995, pp. 241-262
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
ISSN journal
01291831
Volume
6
Issue
2
Year of publication
1995
Pages
241 - 262
Database
ISI
SICI code
0129-1831(1995)6:2<241:ASEPMF>2.0.ZU;2-#
Abstract
In this study we derive a semi-linear Elliptic Partial Differential Eq uation (PDE) problem that models the static (zero voltage) behavior of a Josephson window junction. Iterative methods for solving this probl em are proposed and their computer implementation is discussed. The pr eliminary computational results that are given, show the modeling powe r of our approach and exhibit its computational efficiency.