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MULTILEVEL CORRECTION ADAPTIVE FINITE ELEMENT METHOD FOR SEMILINEAR ELLIPTIC EQUATION
Lin, Qun; Xie, Hehu; Xu, Fei
2015-10-01
发表期刊APPLICATIONS OF MATHEMATICS
ISSN0862-7940
卷号60期号:5页码:527-550
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.
关键词semilinear elliptic problem multilevel correction adaptive finite element method
语种英语
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
WOS类目Mathematics, Applied
WOS记录号WOS:000361347000005
出版者ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/20801
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.
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