{"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":" ","pages":""},"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.
期刊介绍：
Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.
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