An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

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	An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations
	Zhu, Hongqiang ; Qiu, Jianxian ; Qiu JX(邱建贤)
刊名	http://dx.doi.org/10.4208/nmtma.2013.1235nm
	2013
关键词	FINITE-ELEMENT-METHOD ESSENTIALLY NONOSCILLATORY SCHEMES HERMITE WENO SCHEMES SHOCK-CAPTURING SCHEMES WEIGHTED ENO SCHEMES CONSERVATION-LAWS EFFICIENT IMPLEMENTATION PART I LIMITERS SYSTEMS
英文摘要	NSFC grant [10931004, 11126287, 11201242]; NJUPT grant [NY211029]; ISTCP of China [2010DFR00700]; In [35, 36], we presented an h-adaptive Runge-Kutta discontinuous Galerkin method using troubled-cell indicators for solving hyperbolic conservation laws. A tree data structure (binary tree in one dimension and quadtree in two dimensions) is used to aid storage and neighbor finding. Mesh adaptation is achieved by refining the troubled cells and coarsening the untroubled "children". Extensive numerical tests indicate that the proposed h-adaptive method is capable of saving the computational cost and enhancing the resolution near the discontinuities. In this paper, we apply this h-adaptive method to solve Hamilton-Jacobi equations, with an objective of enhancing the resolution near the discontinuities of the solution derivatives. One- and two-dimensional numerical examples are shown to illustrate the capability of the method.
语种	英语
出版者	GLOBAL SCIENCE PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91227]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zhu, Hongqiang,Qiu, Jianxian,Qiu JX. An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations[J]. http://dx.doi.org/10.4208/nmtma.2013.1235nm,2013.
APA	Zhu, Hongqiang,Qiu, Jianxian,&邱建贤.(2013).An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations.http://dx.doi.org/10.4208/nmtma.2013.1235nm.
MLA	Zhu, Hongqiang,et al."An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations".http://dx.doi.org/10.4208/nmtma.2013.1235nm (2013).