Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems
文献类型：期刊论文
| 作者 | Zhao, Jikun1; Chen, Shaochun1; Zhang, Bei1; Mao, Shipeng2,3
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| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 264页码:346-358 |
| 关键词 | Robust a posteriori error estimates Conforming finite element Nonconforming finite element Convection diffusion problem |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2015.04.091 |
| 英文摘要 | A posteriori error estimation is carried out within a unified framework for various conforming and nonconforming finite element methods for convection-diffusion problems. Our main contribution is finding an appropriate norm to measure the error, which incorporates a discrete energy norm, a discrete dual semi-norm of the convective derivative and jumps of the approximate solution over element faces (edges in two dimensions). The error estimator is shown to be robust with respect to the Peclet number in the sense of the modified norm. Based on a general error decomposition, we show that the key ingredient of error estimation is the estimation on the consistency error related to the particular numerical scheme, and the remaining terms can be bounded in a unified way. The numerical results are presented to illustrate the robustness and practical performance of the estimator in an adaptive refinement strategy. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11371331] ; National Natural Science Foundation of China[11101414] ; National Natural Science Foundation of China[11471329] ; National Natural Science Foundation of China[91130026] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000355553000028 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19920]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhao, Jikun |
| 作者单位 | 1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Jikun,Chen, Shaochun,Zhang, Bei,et al. Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,264:346-358. |
| APA | Zhao, Jikun,Chen, Shaochun,Zhang, Bei,&Mao, Shipeng.(2015).Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems.APPLIED MATHEMATICS AND COMPUTATION,264,346-358. |
| MLA | Zhao, Jikun,et al."Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems".APPLIED MATHEMATICS AND COMPUTATION 264(2015):346-358. |
入库方式： OAI收割
来源：数学与系统科学研究院
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