Estimation of the effect of numerical integration in finite element eigenvalue approximation

Uday Banerjee, John E. Osborn

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

Finite element approximations of the eigenpairs of differential operators are computed as eigenpairs of matrices whose elements involve integrals which must be evaluated by numerical integration. The effect of this numerical integration on the eigenvalue and eigenfunction error is estimated. Specifically, for 2nd order selfadjoint eigenvalue problems we show that finite element approximations with quadrature satisfy the well-known estimates for approximations without quadrature, provided the quadrature rules have appropriate degrees of precision.

Original languageEnglish (US)
Pages (from-to)735-762
Number of pages28
JournalNumerische Mathematik
Volume56
Issue number8
DOIs
StatePublished - Aug 1 1989

Keywords

  • Subject Classifications: AMS(MOS): 65D30, 65N15, 65N25, 65N30, CR: G 1.8

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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