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Counterexamples to the asymptotic expansion of interpolation in finite elements

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Abstract

We present counterexamples to the asymptotic expansion of interpolation in finite element methods for solving differential equations, which was expected to hold in the finite element community.

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Authors and Affiliations

  1. Laboratory of Scientific and Engineering Computing (LSEC), Institute of Computational Mathematics and Scientific/Engineering Computing (ICMSEC), Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China

    Qun Lin

  2. School of Mathematical Sciences and Laboratory of Mathematics and Applied Mathematics (LMAM), Peking University, Beijing, 100871, China

    Jiaquan Liu

Authors
  1. Qun Lin
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  2. Jiaquan Liu
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Correspondence to Qun Lin.

Additional information

Communicated by: J. Xu.

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Lin, Q., Liu, J. Counterexamples to the asymptotic expansion of interpolation in finite elements. Adv Comput Math 27, 167–177 (2007). https://doi.org/10.1007/s10444-007-9030-y

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  • DOI: https://doi.org/10.1007/s10444-007-9030-y

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