摘要
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.
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.
基金
supported by National Natural Science Foundation of China (GrantNo.10971005)
A Foundation for the Author of National Excellent Doctoral Dissertation of PR China (GrantNo.200718)
supported in part by National Natural Science Foundation of China Key Project (Grant No.11031006)
the Chinesisch-Deutsches Zentrum Project (Grant No.GZ578)
