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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Published in | Applied mathematics and computation Vol. 355; pp. 85 - 95 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
15.08.2019
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Subjects | |
Online Access | Get full text |
ISSN | 0096-3003 1873-5649 |
DOI | 10.1016/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. |
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ISSN: | 0096-3003 1873-5649 |
DOI: | 10.1016/j.amc.2019.02.077 |