Approximation of the elastic Dirichlet-to-Neumann map

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-13 DOI:10.3934/ipi.2022042

G. Vodev

引用次数: 1

Abstract

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in \begin{document}$ \mathbb{R}^d $\end{document}, \begin{document}$ d\ge 2 $\end{document}, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.

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弹性狄利克雷-诺伊曼映射的近似

我们研究了边界光滑的有界域上的平稳线性弹性方程的Dirichlet到Neumann映射。我们证明了它可以用矩阵值符号边界上的伪微分算子来近似，并用酉矩阵计算主符号的模共轭。

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.