Error estimate in an isoparametric finite element eigenvalue problem

Lebaud, M.-P.

doi:10.1090/S0025-5718-1994-1226814-1

Error estimate in an isoparametric finite element eigenvalue problem
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by M.-P. Lebaud PDF

Math. Comp. 63 (1994), 19-40 Request permission

Abstract:

The aim of this paper is to obtain an eigenvalue approximation for elliptic operators defined on a domain $\Omega$ with the help of isoparametric finite elements of degree k. We prove that $\lambda - {\lambda _h} = O({h^{2k}})$ provided the boundary of $\Omega$ is well approximated, which is the same estimate as the one obtained in the case of conforming finite elements.

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