A nonconforming finite element method for fourth order curl equations in R{doble struck}3

Bin Zheng, Qiya Hu, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

In this paper we present a nonconforming finite element method for solving fourth order curl equations in three dimensions arising from magnetohydrodynamics models. We show that the method has an optimal error estimate for a model problem involving both (▼×)2 and (▼×)4 operators. The element has a very small number of degrees of freedom, and it imposes the inter-element continuity along the tangential direction which is appropriate for the approximation of magnetic fields. We also provide explicit formulae of basis functions for this element. © 2011 American Mathematical Society.
Original languageEnglish (US)
Pages (from-to)1871-1886
Number of pages16
JournalMathematics of Computation
Volume80
Issue number276
DOIs
StatePublished - Jul 27 2011
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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