Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity

DOI10.1006/jcph.2002.7128zbMath1008.82035OpenAlexW2092631168MaRDI QIDQ1851262

Qiang Du, Max D. Gunzburger, Jennifer Deang

Publication date: 16 December 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2002.7128

zbMATH Keywords

fluctuationsfinite element methodssuperconductivityGinzburg-Landau model

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55)

Related Items

Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements, A new compact finite difference scheme for solving the complex Ginzburg-Landau equation, Maximizing critical currents in superconductors by optimization of normal inclusion properties, Vortices in a stochastic parabolic Ginzburg-Landau equation, The Ginzburg-Landau Equations for Superconductivity with Random Fluctuations, Regularity analysis of metamaterial Maxwell's equations with random coefficients and initial conditions, Efficient stochastic Galerkin methods for Maxwell's equations with random inputs, Numerical approximations of the Ginzburg–Landau models for superconductivity

Cites Work

• Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity
• Stochastic partial differential equations and filtering of diffusion processes
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Vortices in superconductors: modelling and computer simulations
• High-Kappa Limits of the Time-Dependent Ginzburg–Landau Model
• Stochastic Equations in Infinite Dimensions
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