{"title":"Optimization of Current Carrying Muticables using Topological and Shape Sensitivity","authors":"Zakaria Belhachmi sci","doi":"10.4208/jms.v52n4.19.04","DOIUrl":null,"url":null,"abstract":"In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments. AMS subject classifications: 49Q10, 49Q12, 65K10, 68W25.","PeriodicalId":43526,"journal":{"name":"数学研究","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"数学研究","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jms.v52n4.19.04","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments. AMS subject classifications: 49Q10, 49Q12, 65K10, 68W25.
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