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

被引：8

作者：

Zhao, Xuying ^{[1
,2
]}

Mao, Shipeng ^{[1
]}

Shi, Zliong-Ci ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2010年 / 28卷 / 05期

关键词：

Finite element method; Adaptive algorithm; Hanging node; 1-irregular mesh; Convergence analysis;

D O I：

10.4208/jcm.1001-m3006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Boiler 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.

引用

页码：621 / 644

页数：24

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