Pressure Recovery for Weakly Over-Penalized Discontinuous Galerkin Methods for the Stokes Problem

Min Yang, Jiangguo Liu, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

Abstract

In this paper, two postprocessing procedures for pressure recovery are proposed and analyzed for the weakly over-penalized discontinuous Galerkin methods developed in Liu in SIAM J Numer Anal 49:2165–2181, 2011 for the Stokes problem in two dimensions. These pressure recovery procedures are just elementwise calculations, benefiting from the weak over-penalization in the corresponding velocity schemes. There is no need for solving any discrete linear system in pressure recovery. It is proved that these recovery procedures have optimal order of convergence rates in the L2-norm for the numerical pressure. Three benchmark examples are tested to illustrate the accuracy and efficiency of these procedures.
Original languageEnglish
Pages (from-to)699-715
Number of pages17
JournalJournal of Scientific Computing
Volume63
Issue number3
DOIs
Publication statusPublished - 1 Jun 2015

Keywords

  • Discontinuous Galerkin methods
  • Nonconforming finite elements
  • Pressure recovery
  • Stokes problem
  • Weak over-penalization (WOP)

ASJC Scopus subject areas

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

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