Iterative two-grid methods for semilinear elliptic equations
文献类型：期刊论文
| 作者 | Zhang, Weifeng1,2; Fan, Ronghong3,4; Zhong, Liuqiang5 |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2020-08-01 |
| 卷号 | 80期号:3页码:522-530 |
| 关键词 | Iterative methods Two-grid method Convergence Semilinear elliptic equations |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2020.04.004 |
| 英文摘要 | We design and analyze a new finite element discretization technique based on iterative two-grid methods for semilinear elliptic partial differential equations (PDEs). We first present an iterative two-grid method that just applies the classical two-grid for semilinear elliptic PDEs in a successive fashion, namely, to solve a semilinear problem on the coarse space and then to solve a symmetric positive definite problem on the fine space. Thus, we only need to deal with semilinear problems in the coarse space in the first algorithm. Secondly, we replace the semilinear term by using the corresponding first order Taylor expansion in the second iterative two-grid. We provide the error estimates for the second iterative algorithm and present numerical experiments to show the efficiency of our methods. (C) 2020 Elsevier Ltd. All rights reserved. |
| 资助项目 | Science Challenge Project, China[TZ2016003] ; National Natural Science Foundation of China[11971472] ; National Natural Science Foundation of China[11671159] ; Natural Science Foundation of Guangdong Province, China[2016A030313842] ; Natural Science Foundation of Guangdong Province, China[2019A1515010724] ; Characteristic Innovation Projects of Guangdong Colleges and Universities, China[2018KTSCX044] ; General Project topic of Science and Technology in Guangzhou, China[201904010117] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000536117200007 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51516]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhong, Liuqiang |
| 作者单位 | 1.Kunming Univ Sci & Technol, Dept Engn Mech, Kunming 650500, Yunnan, Peoples R China 2.Kunming Univ Sci & Technol, Dept Appl Math, Kunming 650500, Yunnan, Peoples R China 3.Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China 4.Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 5.South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Weifeng,Fan, Ronghong,Zhong, Liuqiang. Iterative two-grid methods for semilinear elliptic equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2020,80(3):522-530. |
| APA | Zhang, Weifeng,Fan, Ronghong,&Zhong, Liuqiang.(2020).Iterative two-grid methods for semilinear elliptic equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,80(3),522-530. |
| MLA | Zhang, Weifeng,et al."Iterative two-grid methods for semilinear elliptic equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 80.3(2020):522-530. |
入库方式： OAI收割
来源：数学与系统科学研究院
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