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	The discontinuous Galerkin method with Lax-Wendroff type time discretizations
	Qiu, JX ; Dumbser, M ; Shu, CW ; Qiu JX(邱建贤)
	2005
关键词	discontinuous Galerkin method Lax-Wendroff type time discretization Runge-Kutta method limiter WENO scheme high order accuracy
英文摘要	In this paper we develop a Lax-Wendroff time discretization procedure for the discontinuous Galerkin method (LWDG) to solve hyperbolic conservation laws. This is an alternative method for time discretization to the popular total variation diminishing (TVD) Runge-Kutta time discretizations. The LWDG is a one step, explicit, high order finite element method. The limiter is performed once every time step. As a result, LWDG is more compact than Runge-Kutta discontinuous Galerkin (RKDG) and the Lax Wendroff time discretization procedure is more cost effective than the Runge-Kutta time discretizations for certain problems including two-dimensional Euler systems of compressible gas dynamics when nonlinear limiters are applied. (c) 2004 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66687]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Qiu, JX,Dumbser, M,Shu, CW,et al. The discontinuous Galerkin method with Lax-Wendroff type time discretizations[J],2005.
APA	Qiu, JX,Dumbser, M,Shu, CW,&邱建贤.(2005).The discontinuous Galerkin method with Lax-Wendroff type time discretizations..
MLA	Qiu, JX,et al."The discontinuous Galerkin method with Lax-Wendroff type time discretizations".(2005).

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