Multigrid methods for a quad-curl problem based on [Formula presented] interior penalty method

Zhengjia Sun, Jintao Cui, Fuzheng Gao, Chao Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)

Abstract

In this paper we study the multigrid algorithm for a quad-curl problem based on [Formula presented] interior penalty method on bounded polygonal domains. It is shown that the contraction numbers of [Formula presented]-cycle multigrid algorithm for the [Formula presented] interior penalty method converge uniformly with rate of [Formula presented], where [Formula presented] is the number of pre-smoothing (and post-smoothing) steps, [Formula presented] is the index of elliptic regularity. The performance of the multigrid fast solver is illustrated by numerical results.

Original languageEnglish
Pages (from-to)2192-2211
Number of pages20
JournalComputers and Mathematics with Applications
Volume76
Issue number9
DOIs
Publication statusPublished - 1 Nov 2018

Keywords

  • Multigrid methods
  • Quad-curl problem
  • [Formula presented] interior penalty method

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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