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

Uday Banerjee; Manil Suri

doi:10.1002/num.1690080406

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

Uday Banerjee, Manil Suri

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 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 language	English (US)
Pages (from-to)	381-394
Number of pages	14
Journal	Numerical Methods for Partial Differential Equations
Volume	8
Issue number	4
DOIs	https://doi.org/10.1002/num.1690080406
State	Published - Jul 1992

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1002/num.1690080406

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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.",

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AB - 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.

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

Abstract

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