Helicity-conservative finite element discretization for incompressible MHD systems

Kaibo Hu, Young Ju Lee, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve the magnetic and cross helicity, the energy law and the magnetic Gauss law at the discrete level. The variables are discretized as discrete differential forms in a de Rham complex. We present numerical tests to show the performance of the algorithm.

Original languageEnglish (US)
Article number110284
JournalJournal of Computational Physics
StatePublished - Jul 1 2021

All Science Journal Classification (ASJC) codes

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


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