An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions

doi:10.1016/S0021-9991(03)00192-X

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	An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions
	Tang, HZ ; Tang, T ; Zhang, PW
	2003-07-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	188 期号:2 页码:543-572
摘要	This paper presents an adaptive mesh redistribution (AMR) method for solving the nonlinear Hamilton Jacobi equations and level-set equations in two- and three-dimensions. Our approach includes two key ingredients: a nonconservative second-order interpolation on the updated adaptive grids, and a class of monitor functions (or indicators) suitable for the Hamilton-Jacobi problems. The proposed adaptive mesh methods transform a uniform mesh in the logical domain to cluster grid points at the regions of the physical domain where the solution or its derivative is singular or nearly singular. Moreover, the formal second-order rate of convergence is preserved for the proposed AMR methods. Extensive numerical experiments are performed to demonstrate the efficiency and robustness of the proposed adaptive mesh algorithm. (C) 2003 Elsevier Science B.V. All rights reserved.
关键词	moving adaptive grid method Hamilton-Jacobi equations level set equations finite difference method
DOI	10.1016/S0021-9991(03)00192-X
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000183822900010
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18783
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, T
作者单位	1.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, HZ,Tang, T,Zhang, PW. An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2003,188(2):543-572.
APA	Tang, HZ,Tang, T,&Zhang, PW.(2003).An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.JOURNAL OF COMPUTATIONAL PHYSICS,188(2),543-572.
MLA	Tang, HZ,et al."An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions".JOURNAL OF COMPUTATIONAL PHYSICS 188.2(2003):543-572.