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	Tailored Finite Point Method for a Singular Perturbation Problem with Variable Coefficients in Two Dimensions
	Han, Houde ; Huang, Zhongyi
	2010-10-12 ; 2010-10-12
关键词	Tailored finite point method Singular perturbation problem Singular point DIFFUSION PROBLEMS SIMULATION EQUATION FLOW Mathematics, Applied
中文摘要	In this paper, we propose a tailored-finite-point method for a type of linear singular perturbation problem in two dimensions. Our finite point method has been tailored to some particular properties of the problem. Therefore, our new method can achieve very high accuracy with very coarse mesh even for very small epsilon, i.e. the boundary layers and interior layers do not need to be resolved numerically. In our numerical implementation, we study the classification of all the singular points for the corresponding degenerate first order linear dynamic system. We also study some cases with nonlinear coefficients. Our tailored finite point method is very efficient in both linear and nonlinear coefficients cases.
语种	英语 ; 英语
出版者	SPRINGER/PLENUM PUBLISHERS ; NEW YORK ; 233 SPRING ST, NEW YORK, NY 10013 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81306]
专题	清华大学
推荐引用方式 GB/T 7714	Han, Houde,Huang, Zhongyi. Tailored Finite Point Method for a Singular Perturbation Problem with Variable Coefficients in Two Dimensions[J],2010, 2010.
APA	Han, Houde,&Huang, Zhongyi.(2010).Tailored Finite Point Method for a Singular Perturbation Problem with Variable Coefficients in Two Dimensions..
MLA	Han, Houde,et al."Tailored Finite Point Method for a Singular Perturbation Problem with Variable Coefficients in Two Dimensions".(2010).

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