最优绝缘非线性特征值问题的数值解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-08-12 DOI:10.4171/IFB/414

S. Bartels, G. Buttazzo

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引用次数: 3

摘要

变厚度薄膜对导热体的最优绝缘可表述为一个不可微的非局部特征值问题。讨论了确定最优层厚的相应特征函数可靠计算的离散化和迭代解。相应的数值实验证实了理论观察，即在可用绝缘质量较小的情况下会发生对称破缺，并为最佳膜的几何形状提供了新的见解。实验结果表明，单对称轴凸体具有良好的绝缘性能。

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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Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation

The optimal insulation of a heat conducting body by a thin film of variable thickness can be formulated as a nondifferentiable, nonlocal eigenvalue problem. The discretization and iterative solution for the reliable computation of corresponding eigenfunctions that determine the optimal layer thickness are addressed. Corresponding numerical experiments confirm the theoretical observation that a symmetry breaking occurs for the case of small available insulation masses and provide insight in the geometry of optimal films. An experimental shape optimization indicates that convex bodies with one axis of symmetry have favorable insulation properties.

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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.