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Eigenvalue approximations from below using Morley elements

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Abstract

Rannacher discovered by numerical results that the Morley element eigenvalues could approximate the exact eigenvalues from below. This discovery is very important in engineering and mechanics computing. This note provides a theoretical proof for Rannacher’s observations.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, China

    Yidu Yang, Hai Bi & Qin Li

  2. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Qun Lin

Authors
  1. Yidu Yang
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  2. Qun Lin
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  3. Hai Bi
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  4. Qin Li
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Corresponding author

Correspondence to Qun Lin.

Additional information

Communicated by Aihui Zhou.

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Yang, Y., Lin, Q., Bi, H. et al. Eigenvalue approximations from below using Morley elements. Adv Comput Math 36, 443–450 (2012). https://doi.org/10.1007/s10444-011-9185-4

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  • DOI: https://doi.org/10.1007/s10444-011-9185-4

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