Variational Approximation in Modular Spaces by Using Finite Element Method Approach

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-13 DOI:10.1080/01630563.2022.2153367

M. Mabdaoui, H. Moussa, M. Rhoudaf

引用次数: 0

Abstract

Abstract In this paper, we shall study the polynomial approximation in a more general setting namely to consider the Orlicz-Sobolev spaces We study the local and global interpolation estimate and we will show the finite element error estimate for a nonlinear elliptic problem where we establish a generalization of Cea’s Theorem and we prove the modular convergence of the gradient, then we present the existence result and its proof.

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模空间的有限元变分逼近

本文研究了广义情况下的多项式逼近，即考虑Orlicz-Sobolev空间，研究了局部插值估计和全局插值估计，给出了一类非线性椭圆型问题的有限元误差估计，在此基础上建立了Cea定理的推广，证明了梯度的模收敛性，并给出了存在性结果及其证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.