A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations

doi:10.1002/nme.668

CSpace

	A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
	Chen, YP ; Huang, YQ ; Yu, DH
	2003-05-14
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN	0029-5981
卷号	57 期号:2 页码:193-209
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.
关键词	reaction-diffusion equations expanded mixed finite elements two-grid methods
DOI	10.1002/nme.668
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000182643100003
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18347
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.