An efficient iterative method for dynamical Ginzburg-Landau equations

Qingguo Hong, Limin Ma, Jinchao Xu, Longqing Chen

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we propose a new finite element approach to simulate the time-dependent Ginzburg-Landau equations under the temporal gauge, and design an efficient preconditioner for the Newton iteration of the resulting discrete system. The new approach solves the magnetic potential in H(curl) space by the lowest order of the second kind Nédélec element. This approach offers a simple way to deal with the boundary condition, and leads to a stable and reliable performance when dealing with the superconductor with reentrant corners. The comparison in numerical simulations verifies the efficiency of the proposed preconditioner, which can significantly speed up the simulation in large-scale computations.
Original languageEnglish (US)
JournalJournal of Computational Physics
Volume474
DOIs
StatePublished - Feb 1 2023
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

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