Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems

JOURNAL OF APPROXIMATION THEORY

卷:173

Article

Guo, Benqi^1,2  Babuska, Ivo³ 

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[3] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

关键词: Jacobi-weighted Besov spaces;    Jacobi-weighted Sobolev spaces;    Jacobi weights;    Algebraic approximation;    The p-version of finite element method;    Optimal rate of convergence;    Direct and inverse approximation theorem;   

DOI  :  10.1016/j.jat.2013.05.001

来源: Elsevier

【 摘 要 】

This is the third of a series devoted to the direct and inverse approximation theorems of the p-version of the finite element method in the framework of the Jacobi-weighted Besov and Sobolev spaces. In this paper we derive the inverse algebraic approximation in terms of the Jacobi-weighted Besov spaces and prove the inverse theorems for the finite element solutions of the p-version in the Chebyshev-weighted Besov spaces based upon the convergence rate measured in the energy norms. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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