A note on the effect of numerical quadrature in finite element eigenvalue approximation

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

In a recent work by the author and J.E. Osborn, it was shown that the finite element approximation of the eigenpairs of differential operators, when the elements of the underlying matrices are approximated by numerical quadrature, yield optimal order of convergence when the numerical quadrature satisfies a certain precision requirement. In this note we show that this requirement is indeed sharp for eigenvalue approximation. We also show that the optimal order of convergence for approximate eigenvectors can be obtained, using numerical quadrature with less precision.

Original languageEnglish (US)
Pages (from-to)145-152
Number of pages8
JournalNumerische Mathematik
Volume61
Issue number1
DOIs
StatePublished - Dec 1 1992

Keywords

  • Mathematics Subject Classification (1991): 65N25

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A note on the effect of numerical quadrature in finite element eigenvalue approximation'. Together they form a unique fingerprint.

  • Cite this