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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
关键词	moving adaptive grid method Hamilton-Jacobi equations level set equations finite difference method ESSENTIALLY NONOSCILLATORY SCHEMES HYPERBOLIC CONSERVATION-LAWS WEIGHTED ENO SCHEMES EFFICIENT IMPLEMENTATION VISCOSITY SOLUTIONS TRIANGULAR MESHES SINGULAR PROBLEMS DIMENSIONS ALGORITHMS
英文摘要	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.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 0; ARTICLE; 2; 543-572; 188
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/20.500.11897/256494]
专题	数学科学学院
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. 2003-01-01.

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