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	Exact boundary conditions for the initial value problem of convex conservation laws
	Teng, Zhen-huan
	2010
关键词	Exact boundary conditions Artificial boundary conditions Convex conservation laws Burgers&apos Monotone difference schemes NONOSCILLATORY SCHEMES CONVERGENCE (inviscid) equation
英文摘要	The initial value problem of convex conservation laws, which Includes the famous Burgers' (inviscid) equation, plays an important rule not only in theoretical analysis for conservation laws, but also in numerical computations for various numerical methods. For example, the initial value problem of the Burgers' equation is one of the most popular benchmarks in testing various numerical methods But in all the numerical tests the initial data have to be assumed that they are either periodic or having a compact support, so that periodic boundary conditions at the periodic boundaries or two constant boundary conditions at two far apart spatial artificial boundaries can be used in practical computations In this paper for the initial value problem with any initial data we propose exact boundary conditions at two spatial artificial boundaries, which contain a finite computational domain, by using the Lax's exact formulas for the convex conservation laws. The well-posedness of the initial-boundary problem is discussed and the finite difference schemes applied to the artificial boundary problems are described Numerical tests with the proposed artificial boundary conditions are carried out by using the Lax-Friedrichs monotone difference schemes (C) 2010 Elsevier Inc All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 1; ARTICLE; 10; 3792-3801; 229
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157682]
专题	数学科学学院
推荐引用方式 GB/T 7714	Teng, Zhen-huan. Exact boundary conditions for the initial value problem of convex conservation laws. 2010-01-01.

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