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	A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium
	Han, Houde ; Huang, Zhongyi
	2010-05-06 ; 2010-05-06
关键词	tailored finite point method Helmholtz equation inhomogeneous media high frequency wave NUMERICAL-SOLUTION ELEMENT SOLUTION FEM POLLUTION DISPERSION SIMULATION VERSION FLOW Mathematics, Applied Mathematics
中文摘要	In this paper, we propose a tailored-finite-point method for the numerical simulation of the Helmholtz equation with high wave numbers in heterogeneous medium. Our finite point method has been tailored to some particular properties of the problem, which allows us to obtain approximate solutions with the same behaviors as that of the exact solution very naturally. Especially, when the coefficients are piecewise constant, we can get the exact solution with only one point in each subdomain. Our finite-point method has uniformly convergent rate with respect to wave number k in L-2-norm.
语种	英语 ; 英语
出版者	VSP BV ; LEIDEN ; BRILL ACADEMIC PUBLISHERS, PO BOX 9000, 2300 PA LEIDEN, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14208]
专题	清华大学
推荐引用方式 GB/T 7714	Han, Houde,Huang, Zhongyi. A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium[J],2010, 2010.
APA	Han, Houde,&Huang, Zhongyi.(2010).A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium..
MLA	Han, Houde,et al."A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium".(2010).

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