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
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.