A discontinuous Galerkin method for the fourth-order curl problem

Qingguo Hong, Jun Hu, Shi Shu, Jinchao Xu

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

In this paper, we present a discontinuous Galerkin (DG) method based on the Nedelec finite element space for solving a fourth-order curl equation arising from a magnetohy-drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results.

Original languageEnglish (US)
Pages (from-to)565-578
Number of pages14
JournalJournal of Computational Mathematics
Volume30
Issue number6
DOIs
StatePublished - Nov 1 2012

All Science Journal Classification (ASJC) codes

  • Computational Mathematics

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