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Finite element simulations of window Josephson junctions
dc.creator | Vavalis, M. | en |
dc.creator | Mu, M. | en |
dc.creator | Sarailidis, G. | en |
dc.date.accessioned | 2015-11-23T10:53:31Z | |
dc.date.available | 2015-11-23T10:53:31Z | |
dc.date.issued | 2012 | |
dc.identifier | 10.1016/j.cam.2012.02.017 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.uri | http://hdl.handle.net/11615/34423 | |
dc.description.abstract | This paper deals with the numerical simulation of the steady state two dimensional window Josephson junctions by finite element method. The model is represented by a sine-Gordon type composite PDE problem. Convergence and error analysis of the finite element approximation for this semilinear problem are presented. An efficient and reliable Newton-preconditioned conjugate gradient algorithm is proposed to solve the resulting nonlinear discrete system. Regular solution branches are computed using a simple continuation scheme. Numerical results associated with interesting physical phenomena are reported. Interface relaxation methods, which by taking advantage of special properties of the composite PDE, can further reduce the overall computational cost are proposed. The implementation and the associated numerical experiments of a particular interface relaxation scheme are also presented and discussed. (C) 2012 Elsevier B.V. All rights reserved. | en |
dc.source | Journal of Computational and Applied Mathematics | en |
dc.source.uri | <Go to ISI>://WOS:000303700000010 | |
dc.subject | Window Josephson junctions | en |
dc.subject | Superconductivity | en |
dc.subject | Sine-Gordon | en |
dc.subject | Composite | en |
dc.subject | PDE | en |
dc.subject | Finite element | en |
dc.subject | Interface relaxation | en |
dc.subject | ELLIPTIC DIFFERENTIAL-EQUATIONS | en |
dc.subject | INTERFACE RELAXATION METHODS | en |
dc.subject | APPROXIMATION | en |
dc.subject | MODEL | en |
dc.subject | STABILITY | en |
dc.subject | Mathematics, Applied | en |
dc.title | Finite element simulations of window Josephson junctions | en |
dc.type | journalArticle | en |
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