The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
文献类型:期刊论文
作者 | Chen, Zhiming1![]() ![]() |
刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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出版日期 | 2009-08-01 |
卷号 | 228期号:14页码:5000-5019 |
关键词 | Adaptive finite element method Interface problems Non-body-fitted meshes Elliptic equation Maxwell's equations |
ISSN号 | 0021-9991 |
DOI | 10.1016/j.jcp.2009.03.044 |
英文摘要 | We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. New error indicators are introduced to control the error due to non-body-fitted meshes. Flexible h-adaptive strategies are developed, which can be systematically extended to a large class of interface problems. Extensive numerical experiments are performed to support the theoretical results and to show the competitive behavior of the adaptive algorithm even for interfaces involving corner or tip singularities. (C) 2009 Elsevier Inc. All rights reserved. |
WOS研究方向 | Computer Science ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000267846500004 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7235] ![]() |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Chen, Zhiming |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Zhiming,Xiao, Yuanming,Zhang, Linbo. The adaptive immersed interface finite element method for elliptic and Maxwell interface problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(14):5000-5019. |
APA | Chen, Zhiming,Xiao, Yuanming,&Zhang, Linbo.(2009).The adaptive immersed interface finite element method for elliptic and Maxwell interface problems.JOURNAL OF COMPUTATIONAL PHYSICS,228(14),5000-5019. |
MLA | Chen, Zhiming,et al."The adaptive immersed interface finite element method for elliptic and Maxwell interface problems".JOURNAL OF COMPUTATIONAL PHYSICS 228.14(2009):5000-5019. |
入库方式: OAI收割
来源:数学与系统科学研究院
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