A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem

Blanca Ayuso De Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil Zikatanov

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.

Original languageEnglish (US)
Pages (from-to)517-547
Number of pages31
JournalJournal of Scientific Computing
Volume58
Issue number3
DOIs
StatePublished - Mar 2014

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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