On quasi-norm interpolation error estimation and a posteriori error estimates 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 | 2002-12-03 |
| 卷号 | 40期号:5页码:1870-1895 |
| 关键词 | finite element approximation p-Laplacian a posteriori error estimators quasi norms interpolation error estimates |
| ISSN号 | 0036-1429 |
| 英文摘要 | In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some conforming and nonconforming finite element approximation of the p-Laplacian, which are shown to provide upper and lower bounds for the discretization error. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000180172100013 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17139]  |
| 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, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, WB,Yan, NN. On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(5):1870-1895. |
| APA | Liu, WB,&Yan, NN.(2002).On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(5),1870-1895. |
| MLA | Liu, WB,et al."On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.5(2002):1870-1895. |
入库方式： OAI收割
来源：数学与系统科学研究院
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