A SEMI-LINEAR ELLIPTIC PDE MODEL FOR THE STATIC SOLUTION OF JOSEPHSON JUNCTIONS-Reference-Cited by-同舟云学术

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

Published:1995-04 Issue:02 Volume:06 Page:241-262
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

CAPUTO JEAN-GUY¹,FLYTZANIS NIKOS²,VAVALIS EMMANUEL³

Affiliation:

1. Laboratoire de Mathématiques, Institut de Sciences Appliquees and U.R.A. C.N.R.S. 1378, BP8, 76131 Mont-Saint-Aignan Cedex, France

2. Physics Department, University of Crete, 714 09 Heraklion, Greece

3. Mathematics Department, University of Crete, 714 09 Heraklion, Greece

Abstract

In this study we derive a semi-linear Elliptic Partial Differential Equation (PDE) problem that models the static (zero voltage) behavior of a Josephson window junction. Iterative methods for solving this problem are proposed and their computer implementation is discussed. The preliminary computational results that are given, show the modeling power of our approach and exhibit its computational efficiency.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183195000198

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