Moving mesh discontinuous Galerkin method for hyperbolic conservation laws

doi:10.1007/s10915-005-9045-9

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	Moving mesh discontinuous Galerkin method for hyperbolic conservation laws
	Li, R ; Tang, T
	2006-06-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	27 期号:1-3 页码:347-363
摘要	In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is about the construction of the monitor function which is used to guide the mesh redistribution. In this study, a heuristic posteriori error estimator is used in constructing the monitor function. The second issue is concerned with the solution interpolation which is used to interpolates the numerical solution from the old mesh to the updated mesh. This is done by using a scheme that mimics the DG method for linear conservation laws. Appropriate limiters are used on seriously distorted meshes generated by the moving mesh approach to suppress the numerical oscillations. Numerical results are provided to show the efficiency of the proposed moving mesh DG method.
关键词	moving mesh method discontinuous Galerkin method nonlinear conservation laws monitor function
DOI	10.1007/s10915-005-9045-9
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238172600024
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3100
专题	中国科学院数学与系统科学研究院
通讯作者	Li, R
作者单位	1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China 4.Chinese Acad Sci, Inst Computat Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, R,Tang, T. Moving mesh discontinuous Galerkin method for hyperbolic conservation laws[J]. JOURNAL OF SCIENTIFIC COMPUTING,2006,27(1-3):347-363.
APA	Li, R,&Tang, T.(2006).Moving mesh discontinuous Galerkin method for hyperbolic conservation laws.JOURNAL OF SCIENTIFIC COMPUTING,27(1-3),347-363.
MLA	Li, R,et al."Moving mesh discontinuous Galerkin method for hyperbolic conservation laws".JOURNAL OF SCIENTIFIC COMPUTING 27.1-3(2006):347-363.