Abstract
In this paper, we develop a correction operator for the canonical interpolation operator of the Adini element. We use this new correction operator to analyze the discrete eigenvalues of the Adini element method for the fourth order elliptic eigenvalue problem in the three dimensions. We prove that the discrete eigenvalues are smaller than the exact ones.
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Hu, J., Huang, Y. The correction operator for the canonical interpolation operator of the Adini element and the lower bounds of eigenvalues. Sci. China Math. 55, 187–196 (2012). https://doi.org/10.1007/s11425-011-4267-9
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DOI: https://doi.org/10.1007/s11425-011-4267-9