A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
文献类型：期刊论文
| 作者 | Chen, YP; Huang, YQ; Yu, DH |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2003-05-14 |
| 卷号 | 57期号:2页码:193-209 |
| 关键词 | reaction-diffusion equations expanded mixed finite elements two-grid methods |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.668 |
| 英文摘要 | We present a scheme for solving two-dimensional semilinear reaction-diffusion equations using an expanded mixed finite element method. To linearize the mixed-method equations, we use a two-grid algorithm based on the Newton iteration method. The solution of a non-linear system on the fine space is reduced to the solution of two small (one linear and one non-linear) systems on the coarse space and a linear system on the fine space. It is shown that the coarse grid can be much coarser than the fine grid and achieve asymptotically optimal approximation as long as the mesh sizes satisfy H = O(h(1/3)). As a result, solving such a large class of non-linear equation will not be much more difficult than solving one single linearized equation. Copyright (C) 2003 John Wiley Sons, Ltd. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182643100003 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18346]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, YP |
| 作者单位 | 1.Xiangtan Univ, Inst Computat & Appl Math, Xiangtan 411105, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, YP,Huang, YQ,Yu, DH. A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2003,57(2):193-209. |
| APA | Chen, YP,Huang, YQ,&Yu, DH.(2003).A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,57(2),193-209. |
| MLA | Chen, YP,et al."A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 57.2(2003):193-209. |
入库方式： OAI收割
来源：数学与系统科学研究院
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