Computation of superconductivity in thin films

San Yih Lin, Yisong Yang

Research output: Contribution to journalArticlepeer-review


This paper presents a method for computing the physical states in superconducting thin films under the influence of a parallel uniform external magnetic field. The governing equations are the Ginzburg-Landau equations which in general possess multiple solutions and the physical states are those which minimize the total energy. In our approach the energy functional is used to generate a gradient flow and the physical states are obtained in the large time limit. The numerical results completely verify the Meissner effect and the fine structure of the solutions exhibits the occurrence of a symmetric nucleation of superconductivity at intermediate fields.

Original languageEnglish (US)
Pages (from-to)257-275
Number of pages19
JournalJournal of Computational Physics
Issue number2
StatePublished - Aug 1990

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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