Multigrid methods for the symmetric interior penalty method on graded meshes

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

27 Citations (Scopus)

Abstract

The symmetric interior penalty (SIP) method on graded meshes and its fast solution by multigrid methods are studied in this paper. We obtain quasi-optimal error estimates in both the energy norm and the L2 norm for the SIP method, and prove uniform convergence of the W-cycle multigrid algorithm for the resulting discrete problem. The performance of these methods is illustrated by numerical results.
Original languageEnglish
Pages (from-to)481-501
Number of pages21
JournalNumerical Linear Algebra with Applications
Volume16
Issue number6
DOIs
Publication statusPublished - 1 Jun 2009
Externally publishedYes

Keywords

  • Graded meshes
  • Multigrid
  • Symmetric interior penalty method

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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