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Some new residual-based a posteriori error estimators for the mortar finite element methods

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Abstract

In this paper, we propose some new residual-based a posteriori error estimators for the mortar finite element discretization of the second order elliptic equations with discontinuous coefficients. Reliability and efficiency of the estimators are given. Our analysis does not require any saturation assumptions and the mesh restrictions on the interface which are often needed in the literature. Numerical experiments are presented to confirm our theoretical analysis.

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Authors and Affiliations

  1. LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100190, Beijing, China

    Feng Wang & Xuejun Xu

Authors
  1. Feng Wang
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  2. Xuejun Xu
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Correspondence to Feng Wang.

Additional information

This work was supported by the special funds for major state basic research projects (973) under 2011CB309701 and the National Science Foundation (NSF) of China under the Grants 10731060, 11071124 and 11171335.

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Wang, F., Xu, X. Some new residual-based a posteriori error estimators for the mortar finite element methods. Numer. Math. 120, 543–571 (2012). https://doi.org/10.1007/s00211-011-0413-0

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  • DOI: https://doi.org/10.1007/s00211-011-0413-0

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