Maximum norm error analysis of a nonmatching grids finite element method for linear elliptic PDEs

Messaoud Boulbrachene, Qais Al Farei

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we study a nonmatching grid finite element approximation of linear elliptic PDEs in the context of the Schwarz alternating domain decomposition.We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of the geometrical convergence of both the continuous and corresponding discrete Schwarz sequences. We also give some numerical results to support the theory.

Original languageEnglish
Pages (from-to)21-29
Number of pages9
JournalApplied Mathematics and Computation
Volume238
DOIs
Publication statusPublished - Jul 1 2014

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Keywords

  • Elliptic PDEs
  • Finite element
  • L
  • Nonmatching grids
  • Schwarz alternating method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

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