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A new tailored finite point method for strongly anisotropic diffusion equation on misaligned grids

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  • Yang, Tinggan
  • Wang, Yihong

Abstract

This paper presents a new tailored finite point method (TFPM) for the strongly anisotropic diffusion equation on Cartesian coordinates. The novelty is that the scheme is constructed by using the interface conditions for each cell. Several numerical experiments are presented to show the performance of this new scheme. Numerically, the method can not only achieve good accuracy, but also sharply capture internal layers.

Suggested Citation

  • Yang, Tinggan & Wang, Yihong, 2019. "A new tailored finite point method for strongly anisotropic diffusion equation on misaligned grids," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 85-95.
    • Handle: RePEc:eee:apmaco:v:355:y:2019:i:c:p:85-95
    DOI: 10.1016/j.amc.2019.02.077
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    Cited by:

    1. Wang, Yihong & Cao, Jianxiong, 2021. "A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    2. Wang, Yihong, 2021. "Tailored finite point method for the approximation of diffusion operators with non-symmetric diffusion tensor," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 535-554.

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