An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems

doi:10.4208/cicp.210709.121109a

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	An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
	Wang, Duan 2; Li, Ruo 1,2; Yan, Ningning3
	2010-09-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	8 期号:3 页码:511-540
摘要	Based on an error estimate in terms of element edge vectors on arbitrary unstructured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicator, the error estimate involves only the gradient of error rather than higher order derivatives. The preferred refinement edge is chosen to reduce the maximal term in the error estimate. The algorithm is implemented in both two- and three-dimensional cases, and applied to the singular function interpolation and the elliptic interface problem. The numerical results demonstrate that the convergence order obtained by using the proposed anisotropic mesh refinement algorithm can be higher than that given by the isotropic one.
关键词	Adaptive finite element method anisotropic mesh refinement elliptic interface problem non-homogeneous jump a posteriori error estimate
DOI	10.4208/cicp.210709.121109a
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; National Science Foundation of China[10771008] ; National Science Foundation of China[10771211] ; Foundation for the Author of National Excellent Doctoral Dissertation of PRC
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000281405000003
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10200
专题	系统科学研究所
通讯作者	Li, Ruo
作者单位	1.Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Duan,Li, Ruo,Yan, Ningning. An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2010,8(3):511-540.
APA	Wang, Duan,Li, Ruo,&Yan, Ningning.(2010).An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,8(3),511-540.
MLA	Wang, Duan,et al."An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 8.3(2010):511-540.