An interior penalty method for a two dimensional curl-curl and grad-div problem

S. C. Brenner, Jintao Cui, L. Y. Sung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P1 vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. Mathematical Soc. 2009.
Original languageEnglish
JournalANZIAM Journal
Volume50
Issue numberSUPPL.
Publication statusPublished - 1 Dec 2008
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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