Analysis of numerical integration in p‐version finite element eigenvalue approximation

Uday Banerjee, Manil Suri

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We study the effect of numerical integration when the p‐version of the finite element method is used to approximate the eigenpairs of elliptic partial differential operators. We obtain optimal orders of convergence for approximate eigenvalues and eigenvectors under a certain set of requirements on the quadrature rules employed. This is the same set of conditions that has been shown (in an earlier work) to be sufficient for the optimal approximation of the solutions of the corresponding source problems.

Original languageEnglish (US)
Pages (from-to)381-394
Number of pages14
JournalNumerical Methods for Partial Differential Equations
Volume8
Issue number4
DOIs
StatePublished - Jul 1992

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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