On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients
文献类型：期刊论文
| 作者 | Chen, ZM; Dai, SB |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2002-10-31 |
| 卷号 | 24期号:2页码:443-462 |
| 关键词 | a posteriori error estimators adaptive algorithm performance |
| ISSN号 | 1064-8275 |
| 英文摘要 | The successful implementation of adaptive finite element methods based on a posteriori error estimates depends on several ingredients: an a posteriori error indicator, a refinement/coarsening strategy, and the choice of various parameters. The objective of the paper is to examine the influence of these factors on the performance of adaptive finite element methods for a model problem: the linear elliptic equation with strongly discontinuous coefficients. We derive a new a posteriori error estimator which depends locally on the oscillations of the coefficients around singular points. Extensive numerical experiments are reported to support our theoretical results and to show the competitive behaviors of the proposed adaptive algorithm. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179063900005 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17004]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZM |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Univ Maryland, Dept Math, College Pk, MD 20742 USA |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Dai, SB. On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2002,24(2):443-462. |
| APA | Chen, ZM,&Dai, SB.(2002).On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients.SIAM JOURNAL ON SCIENTIFIC COMPUTING,24(2),443-462. |
| MLA | Chen, ZM,et al."On the efficiency of adaptive finite element methods for elliptic problems with discontinuous coefficients".SIAM JOURNAL ON SCIENTIFIC COMPUTING 24.2(2002):443-462. |
入库方式： OAI收割
来源：数学与系统科学研究院
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