Quasi-norm local error estimators for p-Laplacian
文献类型：期刊论文
| 作者 | Liu, WB; Yan, NN |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2001-03-23 |
| 卷号 | 39期号:1页码:100-127 |
| 关键词 | finite element approximation p-Laplacian a posteriori error estimators quasi-norm error bounds |
| ISSN号 | 0036-1429 |
| 英文摘要 | In this paper, we extend the quasi-norm techniques used in a priori error estimation of finite element approximation of degenerate nonlinear systems in order to carry out an improved a posteriori error analysis for the p-Laplacian. We derive quasi-norm a posteriori error estimators of residual type, which are shown to provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, these estimators are further shown to be equivalent on the discretization error in a quasi norm. Numerical results demonstrating these a posteriori estimators are also presented. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167994100005 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16532]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, WB |
| 作者单位 | 1.Univ Kent, CBS, Canterbury CT2 7NF, Kent, England 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, WB,Yan, NN. Quasi-norm local error estimators for p-Laplacian[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,39(1):100-127. |
| APA | Liu, WB,&Yan, NN.(2001).Quasi-norm local error estimators for p-Laplacian.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(1),100-127. |
| MLA | Liu, WB,et al."Quasi-norm local error estimators for p-Laplacian".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.1(2001):100-127. |
入库方式： OAI收割
来源：数学与系统科学研究院
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