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標題: A Tailored Finite Point Method for Convection-Diffusion-Reaction Problems
作者: Shih, Y.
Kellogg, R.B.
Tsai, P.
關鍵字: Tailored finite point;Convection-diffusion-reaction;Finite element;Boundary layer;Internal layer
Project: Journal of Scientific Computing
期刊/報告no:: Journal of Scientific Computing, Volume 43, Issue 2, Page(s) 239-260.
We study a tailored finite point method (TFPM) for solving the convection-diffusion-reaction equation. The solution basis functions for the TFPM are constructed for a 5 point, 7 point and 9 point stencil. Some truncation error calculations are given. Numerical tests are given on problems containing a boundary or interior layer. The tests compare TFPM with several versions of a Petrov-Galerkin finite element schemes, and suggest that TFPM gives a superior resolution of the layers.
ISSN: 0885-7474
DOI: 10.1007/s10915-010-9354-5
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