ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS

	ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS
	Zhao Xuying; Mao Shipeng; Shi Zhongci
	2010
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	28 期号:5 页码:621
摘要	In this paper we study the convergence of adaptive finite element methods for the general non-affine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and Dofler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Q_m elements which covers both the two- and three-dimensional cases in a unified fashion
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9634
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Zhao Xuying,Mao Shipeng,Shi Zhongci. ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS[J]. Journal of Computational Mathematics,2010,28(5):621.
APA	Zhao Xuying,Mao Shipeng,&Shi Zhongci.(2010).ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS.Journal of Computational Mathematics,28(5),621.
MLA	Zhao Xuying,et al."ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS".Journal of Computational Mathematics 28.5(2010):621.