Variational approximation of interface energies and applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-04-19 DOI:10.4171/IFB/450

Mohammed S. M. Zabiba

引用次数: 0

Abstract

Les problemes de partition minimale consistent a determiner une partition d’un domaine en un nombre donne de composantes de maniere a minimiser un critere geometrique. Dans les champs d’application tels que le traitement d’images et la mecanique des milieux continus, il est courant d’incorporer dans cet objectif une energie d’interface qui prend en compte les longueurs des interfaces entre composantes. Ce travail est focalise sur le traitement theorique et numerique de problemes de partition minimale avec energie d’interface. L’approche consideree est basee sur une approximation par Gamma-convergence et des techniques de dualite.

查看原文本刊更多论文

界面能的变分近似及其应用

最小分区问题包括将域划分为给定数量的组件，以最小化几何标准。在图像处理和连续介质力学等应用领域，通常在这一目标中加入考虑组件之间界面长度的界面能量。本文主要研究界面能量最小分区问题的理论和数值处理。所考虑的方法是基于伽马收敛近似和对偶技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.