Abstract

In this paper the Carey non-conforming finite element is considered for solving eigenvalue problems of the second-order elliptic operator. Based on an interpolation postprocessing, high-accuracy estimates of both eigenfunctions and eigenvalues are obtained: Here, Π22h is an interpolation operator, (λ, u) and (λh, uh) are eigenpairs for the exact problem and its Carey element approximations, respectively, and is defined by the Rayleigh ratio of Π22huh. Copyright © 1999 John Wiley & Sons, Ltd.

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