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

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 o...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 355; pp. 85 - 95
Main Authors Yang, Tinggan, Wang, Yihong
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.08.2019
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ISSN0096-3003
1873-5649
DOI10.1016/j.amc.2019.02.077

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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.02.077