Error Estimate in an Isoparametric Finite Element Eigenvalue Problem
M.-P. Lebaud · Mathematics of Computation · 1994
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.