Finite element analysis and approximations of a Ginzburg-Landau model of superconductivity

DOI10.1016/S0362-546X(97)00153-3zbMath0890.65129MaRDI QIDQ4377269

Rossitza Karamikhova

Publication date: 6 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

finite element methodsuperconductivityhigh magnetic fieldGinzburg-Landau type modelhigh kappa model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

Cites Work

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• Galerkin finite element methods for parabolic problems
• On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
• A model for superconducting thin films having variable thickness
• Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Finite Element Methods for Navier-Stokes Equations
• A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions

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