Anisotropic rectangular nonconforming finite element analysis for Sobolev equations

An anisotropic rectangular nonconforming finite element method for solving the Sobolev equations is discussed under semi-discrete and full discrete schemes. The corresponding optimal convergence error estimates and superclose property are derived, which are the same as the traditional conforming fin...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 29; no. 9; pp. 1203 - 1214
Main Author 石东洋 王海红 郭城
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.09.2008
Department of Mathematics,Zhengzhou University,Zhengzhou 450052,P.R.China
Subjects
Anisotropy
Applications of Mathematics
Classical Mechanics
Convergence
Estimates
Finite element method
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Partial Differential Equations
Post-processing
偏微方程式
元素分析
各向异性
超收敛性
65N15
Sobolev equations
anisotropy
error estimates
superconvergence
O242.21
65N30
nonconforming element
Online AccessGet full text
ISSN0253-4827
1573-2754
DOI10.1007/s10483-008-0909-2

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Summary:An anisotropic rectangular nonconforming finite element method for solving the Sobolev equations is discussed under semi-discrete and full discrete schemes. The corresponding optimal convergence error estimates and superclose property are derived, which are the same as the traditional conforming finite elements. Furthermore, the global superconvergence is obtained using a post-processing technique. The numerical results show the validity of the theoretical analysis.
Bibliography:nonconforming element, anisotropy, Sobolev equations, error estimates,superconvergence
31-1650/O1
O241.82
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-008-0909-2