Numerische Mathematik

, Volume 61, Issue 1, pp 145–152

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

  • Uday Banerjee
Article

DOI: 10.1007/BF01385502

Cite this article as:
Banerjee, U. Numer. Math. (1992) 61: 145. doi:10.1007/BF01385502

Summary

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.

Mathematics Subject Classification (1991)

65N25

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Uday Banerjee
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA