Differential Equations, volume 56, issue 7, pages 959-967
Modeling Superconductor SFN-Structures Using the Finite Element Method
Khapaev () M M
1, 2
,
Kupriyanov M Yu
1, 3
,
Bakurskiy S V
1, 4
,
Klenov N V
1, 2, 4
,
Soloviev I I
1, 2, 4
Publication type: Journal Article
Publication date: 2020-07-01
Journal:
Differential Equations
Quartile SCImago
Q2
Quartile WOS
Q3
Impact factor: 0.6
ISSN: 00122661, 16083083
General Mathematics
Analysis
Abstract
Abstract We consider the problem of mathematical modeling of the current distribution in Josephson structures based on semiclassical equations of the microscopic theory of superconductivity (the Usadel equations). These equations are a system of quasilinear elliptic equations for Green’s functions $$\Phi _\omega (r)$$ and $$G_\omega (r) $$ and the pairing potential $$\Delta (r) $$ , which is determined from the equation of self-consistency by summation of the functions $$\Phi _\omega (r)$$ over the frequencies $$\omega $$ . To solve the quasilinear equations, we propose a special mixed finite element method, and to solve the self-consistency equations, we apply the successive approximation method and Anderson’s convergence acceleration algorithm. Results of calculations are provided for a structure with a wedge-shaped ferromagnetic layer.
Citations by journals
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1
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Superconductor Science and Technology
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Superconductor Science and Technology
1 publication, 50%
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Electronics (Switzerland)
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Electronics (Switzerland)
1 publication, 50%
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1
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Citations by publishers
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1
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IOP Publishing
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IOP Publishing
1 publication, 50%
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Multidisciplinary Digital Publishing Institute (MDPI)
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Multidisciplinary Digital Publishing Institute (MDPI)
1 publication, 50%
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1
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GOST
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Khapaev () M. M. et al. Modeling Superconductor SFN-Structures Using the Finite Element Method // Differential Equations. 2020. Vol. 56. No. 7. pp. 959-967.
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Khapaev () M. M., Kupriyanov M. Yu., Bakurskiy S. V., Klenov N. V., Soloviev I. I. Modeling Superconductor SFN-Structures Using the Finite Element Method // Differential Equations. 2020. Vol. 56. No. 7. pp. 959-967.
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TY - JOUR
DO - 10.1134/S0012266120070149
UR - https://doi.org/10.1134%2FS0012266120070149
TI - Modeling Superconductor SFN-Structures Using the Finite Element Method
T2 - Differential Equations
AU - Khapaev (), M M
AU - Kupriyanov, M Yu
AU - Bakurskiy, S V
AU - Klenov, N V
AU - Soloviev, I I
PY - 2020
DA - 2020/07/01 00:00:00
PB - Pleiades Publishing
SP - 959-967
IS - 7
VL - 56
SN - 0012-2661
SN - 1608-3083
ER -
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@article{2020_Khapaev (),
author = {M M Khapaev () and M Yu Kupriyanov and S V Bakurskiy and N V Klenov and I I Soloviev},
title = {Modeling Superconductor SFN-Structures Using the Finite Element Method},
journal = {Differential Equations},
year = {2020},
volume = {56},
publisher = {Pleiades Publishing},
month = {jul},
url = {https://doi.org/10.1134%2FS0012266120070149},
number = {7},
pages = {959--967},
doi = {10.1134/S0012266120070149}
}
Cite this
MLA
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Khapaev (), M. M., et al. “Modeling Superconductor SFN-Structures Using the Finite Element Method.” Differential Equations, vol. 56, no. 7, Jul. 2020, pp. 959-967. https://doi.org/10.1134%2FS0012266120070149.