A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations

Buyang Li, Zhimin Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

29 Citations (Scopus)


We introduce a new approach for finite element simulations of the time-dependent Ginzburg-Landau equations (TDGL) in a general curved polygon, possibly with reentrant corners. Specifically, we reformulate the TDGL into an equivalent system of equations by decomposing the magnetic potential to the sum of its divergence-free and curl-free parts, respectively. Numerical simulations of vortex dynamics show that, in a domain with reentrant corners, the new approach is much more stable and accurate than the traditional approaches of solving the TDGL directly (under either the temporal gauge or the Lorentz gauge); in a convex domain, the new approach gives comparably accurate solutions as the traditional approaches.
Original languageEnglish
Pages (from-to)238-250
Number of pages13
JournalJournal of Computational Physics
Publication statusPublished - 15 Dec 2015
Externally publishedYes


  • Finite element method
  • Hodge decomposition
  • Reentrant corner
  • Singularity
  • Superconductivity

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications


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