{"title":"Exploring Bounds in Complementary Formulations for Electroquasistatics","authors":"Antonino Vacalebre;Aldi Hoxha;Ruben Specogna","doi":"10.1109/TMAG.2024.3502700","DOIUrl":null,"url":null,"abstract":"It is well established that complementary formulations for static electromagnetic problems yield upper and lower energy bounds, a result that has been demonstrated only numerically for magnetoquasistatic (MQS) problems. However, this aspect remains completely unexplored for electroquasistatic (EQS) problems. The primary objective of this article is to solve an EQS problem for the first time using two complementary formulations. The secondary aim is to address the existing gap in the literature by numerically investigating whether energy bounds exist for EQS problems, following the approach previously applied to MQS problems.","PeriodicalId":13405,"journal":{"name":"IEEE Transactions on Magnetics","volume":"61 1","pages":"1-4"},"PeriodicalIF":2.1000,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Magnetics","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10758731/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
It is well established that complementary formulations for static electromagnetic problems yield upper and lower energy bounds, a result that has been demonstrated only numerically for magnetoquasistatic (MQS) problems. However, this aspect remains completely unexplored for electroquasistatic (EQS) problems. The primary objective of this article is to solve an EQS problem for the first time using two complementary formulations. The secondary aim is to address the existing gap in the literature by numerically investigating whether energy bounds exist for EQS problems, following the approach previously applied to MQS problems.
期刊介绍：
Science and technology related to the basic physics and engineering of magnetism, magnetic materials, applied magnetics, magnetic devices, and magnetic data storage. The IEEE Transactions on Magnetics publishes scholarly articles of archival value as well as tutorial expositions and critical reviews of classical subjects and topics of current interest.
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