Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems

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	Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems
	Chen, JR
	2001-04-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	119 期号:2-3 页码:229-247
摘要	In this paper, a V-cycle multigrid method is proposed for mixed element method for non-self-adjoint and indefinite second-order elliptic problems and the uniform convergence of the V-cycle multigrid method is proven under minimal regularity assumption. Meanwhile, a multilevel additive preconditioner is given for these problems and an optimal convergence rate for preconditioned GMRES method is obtained under minimal regularity assumption. (C) 2001 Elsevier Science Inc. All rights reserved.
关键词	multigrid multilevel additive preconditioner mixed element indefinite problems
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000168075800010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16675
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, JR
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China
推荐引用方式 GB/T 7714	Chen, JR. Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2001,119(2-3):229-247.
APA	Chen, JR.(2001).Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems.APPLIED MATHEMATICS AND COMPUTATION,119(2-3),229-247.
MLA	Chen, JR."Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems".APPLIED MATHEMATICS AND COMPUTATION 119.2-3(2001):229-247.