Residual type a posteriori error estimates for elliptic obstacle problems
文献类型：期刊论文
| 作者 | Chen, ZM; Nochetto, RH |
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2000-02-01 |
| 卷号 | 84期号:4页码:527-548 |
| ISSN号 | 0029-599X |
| 英文摘要 | A posteriori error estimators of residual type are derived for piecewise linear finite element approximations to elliptic obstacle problems. An instrumental ingredient is a new interpolation operator which requires minimal regularity, exhibits optimal approximation properties and preserves positivity. Both upper and lower bounds are proved and their optimality is explored with several examples. Sharp a priori bounds for the a posteriori estimators are given, and extensions of the results to double obstacle problems are briefly discussed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085704700001 |
| 出版者 | SPRINGER VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15790]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Nochetto, RH |
| 作者单位 | 1.Univ Maryland, Dept Math, College Pk, MD 20742 USA 2.Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Nochetto, RH. Residual type a posteriori error estimates for elliptic obstacle problems[J]. NUMERISCHE MATHEMATIK,2000,84(4):527-548. |
| APA | Chen, ZM,&Nochetto, RH.(2000).Residual type a posteriori error estimates for elliptic obstacle problems.NUMERISCHE MATHEMATIK,84(4),527-548. |
| MLA | Chen, ZM,et al."Residual type a posteriori error estimates for elliptic obstacle problems".NUMERISCHE MATHEMATIK 84.4(2000):527-548. |
入库方式： OAI收割
来源：数学与系统科学研究院
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