Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 355, Issue -, Pages 85-95Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.02.077
Keywords
Strong anisotropic diffusion; Internal layers; Tailored finite point method; Uniform convergence
Categories
Funding
- Xu Lun Scholars Programme, Shanghai Lixin University of Accounting and Finance
- Science Challenge Project [TZ2016002]
- National Natural Science Foundation of China [11601328]
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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. (C) 2019 Elsevier Inc. All rights reserved.
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