Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations

Mitsuhiro T. Nakao, Nobito Yamamoto, Yoshitaka Watanabe

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Constructive L2 error estimates for finite element solutions of the Stokes equations are described. We show that the L2 error bounds for the velocity can be obtained in a posteriori and explicit a priori sense. Some numerical examples which confirm us the expected rates of convergence are presented.

Original languageEnglish
Pages (from-to)115-124
Number of pages10
JournalReliable Computing
Volume23
Issue number5
Publication statusPublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Computational Mathematics
  • Applied Mathematics

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  • Cite this

    Nakao, M. T., Yamamoto, N., & Watanabe, Y. (1998). Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations. Reliable Computing, 23(5), 115-124.