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An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations

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Abstract

A Crank-Nicolson scheme based on nonconforming finite element with moving grids is discussed for a class of parabolic integro-differential equations under anisotropic meshes. The corresponding convergence analysis is presented and the error estimates are obtained by using the interpolation operator instead of the conventional elliptic projection which is an indispensable tool in the convergence analysis of traditional finite element methods in previous literature.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China

    Dongyang Shi

  2. Department of Basic, Henan Mechanical and Electrical Engineering College, Xinxiang, 453002, China

    Lin Wang

Authors
  1. Dongyang Shi
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  2. Lin Wang
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Corresponding author

Correspondence to Dongyang Shi.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant Nos. 10671184 and 10971203.

This paper was recommended for publication by Editor Ningning YAN.

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Shi, D., Wang, L. An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations. J Syst Sci Complex 24, 1020–1032 (2011). https://doi.org/10.1007/s11424-011-9025-0

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  • DOI: https://doi.org/10.1007/s11424-011-9025-0

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