Abstract
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.
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.
- Content Type Journal Article
- DOI 10.1007/s10915-010-9354-5
- Authors
- Yintzer Shih, National Chung Hsing University Department of Applied Mathematics 250 Kuo-Kuang Road Taichung 40227 Taiwan
- R. Bruce Kellogg, University of South Carolina Department of Mathematics Columbia SC 29208 USA
- Peishan Tsai, National Chung Hsing University Department of Applied Mathematics 250 Kuo-Kuang Road Taichung 40227 Taiwan
- Journal Journal of Scientific Computing
- Online ISSN 1573-7691
- Print ISSN 0885-7474
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