Analysis and convergence of a covolume approximation of the ginzburg-landau model of superconductivity

Qiang Du*, R. A. Nicolaides, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

In this paper, we present the mathematical analysis of a covolume method for the approximations of the Ginzburg-Landau (GL) model for superconductivity. A nice feature of this approach is that the gauge invariance properties are retained in discrete approximations based on triangular grids. We also use properties of discrete vector fields to study issues such as the gauge choices and their enforcement.

Original languageEnglish
Pages (from-to)1049-1072
Number of pages24
JournalSIAM Journal on Numerical Analysis
Volume35
Issue number3
DOIs
Publication statusPublished - 1998

Scopus Subject Areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Convergence analysis
  • Covolume approximations
  • Gauge invariance
  • Ginzburg-Landau model of superconductivity

Fingerprint

Dive into the research topics of 'Analysis and convergence of a covolume approximation of the ginzburg-landau model of superconductivity'. Together they form a unique fingerprint.

Cite this