OPTIMALITY OF LOCAL MULTILEVEL METHODS FOR ADAPTIVE NONCONFORMING P1 FINITE ELEMENT METHODS

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	OPTIMALITY OF LOCAL MULTILEVEL METHODS FOR ADAPTIVE NONCONFORMING P1 FINITE ELEMENT METHODS
	Xu, Xuejun ; Chen, Huangxin ; Hoppe, R. H. W. ; Chen HX(陈黄鑫)
刊名	http://dx.doi.org/10.4208/jcm.1203-m3960
	2013
关键词	BOUNDARY-VALUE-PROBLEMS MULTIGRID ALGORITHMS ITERATIVE METHODS REFINED MESHES V-CYCLE CONVERGENCE
英文摘要	National Basic Research Program [2011CB30971]; National Science Foundation of China [11171335]; National Natural Science Foundation of China [11201394]; Fundamental Research Funds for the Central Universities [2012121003]; In this paper, a local multilevel product algorithm and its additive version are considered for linear systems arising from adaptive nonconforming P1 finite element approximations of second order elliptic boundary value problems. The abstract Schwarz theory is applied to analyze the multilevel methods with Jacobi or Gauss-Seidel smoothers performed on local nodes on coarse meshes and global nodes on the finest mesh. It is shown that the local multilevel methods are optimal, i.e., the convergence rate of the multilevel methods is independent of the mesh sizes and mesh levels. Numerical experiments are given to confirm the theoretical results.
语种	英语
出版者	GLOBAL SCIENCE PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91203]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xu, Xuejun,Chen, Huangxin,Hoppe, R. H. W.,et al. OPTIMALITY OF LOCAL MULTILEVEL METHODS FOR ADAPTIVE NONCONFORMING P1 FINITE ELEMENT METHODS[J]. http://dx.doi.org/10.4208/jcm.1203-m3960,2013.
APA	Xu, Xuejun,Chen, Huangxin,Hoppe, R. H. W.,&陈黄鑫.(2013).OPTIMALITY OF LOCAL MULTILEVEL METHODS FOR ADAPTIVE NONCONFORMING P1 FINITE ELEMENT METHODS.http://dx.doi.org/10.4208/jcm.1203-m3960.
MLA	Xu, Xuejun,et al."OPTIMALITY OF LOCAL MULTILEVEL METHODS FOR ADAPTIVE NONCONFORMING P1 FINITE ELEMENT METHODS".http://dx.doi.org/10.4208/jcm.1203-m3960 (2013).