MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION
文献类型：期刊论文
| 作者 | Lin, Qun ; Xie, Hehu; Xu, Fei
|
| 刊名 | APPLICATIONS OF MATHEMATICS
 |
| 出版日期 | 2015-10-01 |
| 卷号 | 60期号:5页码:527-550 |
| 关键词 | semilinear elliptic problem multilevel correction adaptive finite element method |
| ISSN号 | 0862-7940 |
| 英文摘要 | A type of adaptive finite element method is presented for semilinear elliptic problems based on multilevel correction scheme. The main idea of the method is to transform the semilinear elliptic equation into a sequence of linearized boundary value problems on the adaptive partitions and some semilinear elliptic problems on very low dimensional finite element spaces. Hence, solving the semilinear elliptic problem can reach almost the same efficiency as the adaptive method for the associated boundary value problem. The convergence and optimal complexity of the new scheme can be derived theoretically and demonstrated numerically. |
| 资助项目 | National Science Foundations of China[NSFC 91330202] ; National Science Foundations of China[11371026] ; National Science Foundations of China[11001259] ; National Science Foundations of China[11031006] ; National Science Foundations of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000361347000005 |
| 出版者 | ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20800]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Lin, Qun |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Qun,Xie, Hehu,Xu, Fei. MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION[J]. APPLICATIONS OF MATHEMATICS,2015,60(5):527-550. |
| APA | Lin, Qun,Xie, Hehu,&Xu, Fei.(2015).MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION.APPLICATIONS OF MATHEMATICS,60(5),527-550. |
| MLA | Lin, Qun,et al."MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION".APPLICATIONS OF MATHEMATICS 60.5(2015):527-550. |
入库方式： OAI收割
来源：数学与系统科学研究院
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