探索准静电学互补公式的界

IF 2.1 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Magnetics Pub Date : 2024-11-20 DOI:10.1109/TMAG.2024.3502700

Antonino Vacalebre;Aldi Hoxha;Ruben Specogna

{"title":"探索准静电学互补公式的界","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":"{\"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}","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

摘要

静态电磁问题的互补公式可以产生能量上限和能量下限，这一结果仅在准静态（MQS）问题中得到了数值证明。然而，这方面在准静电（EQS）问题中仍然完全没有被探索。本文的主要目标是首次使用两个互补的公式来解决EQS问题。第二个目标是通过数值研究EQS问题是否存在能量界来解决文献中存在的差距，遵循先前应用于MQS问题的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Exploring Bounds in Complementary Formulations for Electroquasistatics

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

IEEE Transactions on Magnetics 工程技术-工程：电子与电气

CiteScore

4.00

自引率

14.30%

发文量

565

审稿时长

4.1 months

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.