{"title":"Variational approximation of interface energies and applications","authors":"Mohammed S. M. Zabiba","doi":"10.4171/IFB/450","DOIUrl":null,"url":null,"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.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/IFB/450","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
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.
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.