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Mathematics of Computation

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Error estimate in an isoparametric finite element eigenvalue problem

Author: M.-P. Lebaud
Journal: Math. Comp. 63 (1994), 19-40
MSC: Primary 65N30; Secondary 65N25
MathSciNet review: 1226814
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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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Keywords: Elliptic operators, approximation of eigenvalues, isoparametric finite elements
Article copyright: © Copyright 1994 American Mathematical Society