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A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes

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Abstract

A lumped mass approximation scheme of a low order Crouzeix-Raviart type nonconforming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L 2 error estimate is derived on anisotropic meshes without referring to the traditional nonclassical elliptic projection.

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Authors and Affiliations

  1. Dept. of Math., Zhengzhou Univ., Zhengzhou, 450052, China

    Dong-yang Shi, Hui-min Wang & Zhi-yan Li

Authors
  1. Dong-yang Shi
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  2. Hui-min Wang
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  3. Zhi-yan Li
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Supported by the National Natural Science Foundation of China (10671184)

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Shi, Dy., Wang, Hm. & Li, Zy. A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes. Appl. Math. J. Chin. Univ. 24, 97–104 (2009). https://doi.org/10.1007/s11766-009-1943-4

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  • DOI: https://doi.org/10.1007/s11766-009-1943-4

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