Modeling superconductor SFN-structures using the finite element method

DOI10.1134/S0012266120070149zbMath1446.65173OpenAlexW3047802951MaRDI QIDQ2196184

M. M. Khapaev, M. Yu. Kupriyanov, S. V. Bakurskiy, I. I. Soloviev, N. V. Klenov

Publication date: 28 August 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266120070149

zbMATH Keywords

finite element methodsuperconductivityferromagnetic layerJosephson structuresUsadel equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of superconductors (82D55) Statistical mechanics of magnetic materials (82D40) Quasilinear elliptic equations (35J62) PDEs in connection with statistical mechanics (35Q82)

Uses Software

• UMFPACK
• FreeFem++
• Anderson

Cites Work

• Unnamed Item
• A quasi-Newton acceleration for high-dimensional optimization algorithms
• Anderson Acceleration for Fixed-Point Iterations
• Mixed Finite Element Methods and Applications
• New development in freefem++
• Convergence Analysis for Anderson Acceleration
• Algorithm 832

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