The correction operator for the canonical interpolation operator of the Adini element and the lower bounds of eigenvalues |
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| Authors: | Jun Hu YunQing Huang |
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| Institution: | School of Mathematical Sciences,Peking University,Beijing 100871,China;2 Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Xiangtan 411105,China |
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| 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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| Keywords: | the lower bound the Adini element the eigenvalue problem |
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