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ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS
Zhao Xuying; Mao Shipeng; Shi Zhongci
2010
Source PublicationJournal of Computational Mathematics
ISSN0254-9409
Volume28Issue:5Pages:621
AbstractIn 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
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9634
Collection计算数学与科学工程计算研究所
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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.
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