A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations

DOI10.1007/S10915-019-00968-5zbMath1426.82074OpenAlexW2943133260WikidataQ127927184 ScholiaQ127927184MaRDI QIDQ2316257

Lili Ju, Wen Xie, Huadong Gao

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00968-5

zbMATH Keywords

superconductivitynon-convex domaintime-dependent Ginzburg-Landau equationsgauge-invarianceNédélec edge elementstaggered grid approximation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of superconductors (82D55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Ginzburg-Landau equations (35Q56) Finite difference methods applied to problems in statistical mechanics (82M20) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)

Related Items (7)

Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations ⋮ Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity ⋮ An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge ⋮ On the numerical stability and transitional stages of time-dependent Ginzburg-Landau model of superconductivity ⋮ A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations ⋮ Residual-based a posteriori error estimates for the time-dependent Ginzburg-Landau equations of superconductivity ⋮ An efficient iterative method for dynamical Ginzburg-Landau equations

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