Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors

DOI10.1007/BF01388682zbMath0792.65095MaRDI QIDQ1326427

Max D. Gunzburger, Qiang Du, Janet S. Peterson

Publication date: 18 May 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133698

zbMATH Keywords

error estimatesnumerical examplestype-II superconductorsfinite element algorithmsperiodic Ginzburg-Landau model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

Related Items

A new compact finite difference scheme for solving the complex Ginzburg-Landau equation, Robusta priorierror analysis for the approximation of degree-one Ginzburg-Landau vortices, Finite element analysis on the lawrence-doniach model for layered superconductors, Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity, Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation, Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation, A model for variable thickness superconducting thin films

Cites Work

• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Modeling and Analysis of a Periodic Ginzburg–Landau Model for Type-II Superconductors
• Finite Element Methods for Navier-Stokes Equations
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Macroscopic Models for Superconductivity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item