Upper Spectral Bound of Biharmonic Operator Eigenvalue Problem by Bicubic Hermite Element

Abstract

This paper uses the bicubic Hermite element to compute the first four eigenvalues of the vibration problem of clamped plate by Matlab program and gives upper bound of the exact eigenvalues. Combing Matlab experiments on Morley element for lower spectral bound we can provide a range of the exact eigenvalues of biharmonic operator more accurately.