Helicity-conservative finite element discretization for incompressible MHD systems

Kaibo Hu, Young Ju Lee, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

11 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)
JournalJournal of Computational Physics
StatePublished - Jul 1 2021
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications


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