基于基本解方法的三维弹性体时谐电磁场无网格求解方法

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-12-07 DOI:10.1016/j.enganabound.2024.106056

Yao Sun, Jiaxin Chen

{"title":"基于基本解方法的三维弹性体时谐电磁场无网格求解方法","authors":"Yao Sun, Jiaxin Chen","doi":"10.1016/j.enganabound.2024.106056","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a numerical formula to calculate time-harmonic electromagnetic field interacting with three-dimensional elastic body. The formula is based on the method of fundamental solutions. Firstly, we perform Helmholtz decomposition on the displacement field. The problem will transform into a coupled bounded problem including a scaler Helmholtz equation, a vector Helmholtz equation and a Maxwell equation. Then, we use the method of fundamental solutions to solve the new problem. Finally, we provide some examples to demonstrate the effectiveness of the proposed method. We construct the exact solutions for the boundary value problem to verify the accuracy and present a comparative study with the Galerkin scheme.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"20 1","pages":""},"PeriodicalIF":4.2000,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A meshless method based on the method of fundamental solution for time harmonic electromagnetic field with a three-dimensional elastic body\",\"authors\":\"Yao Sun, Jiaxin Chen\",\"doi\":\"10.1016/j.enganabound.2024.106056\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a numerical formula to calculate time-harmonic electromagnetic field interacting with three-dimensional elastic body. The formula is based on the method of fundamental solutions. Firstly, we perform Helmholtz decomposition on the displacement field. The problem will transform into a coupled bounded problem including a scaler Helmholtz equation, a vector Helmholtz equation and a Maxwell equation. Then, we use the method of fundamental solutions to solve the new problem. Finally, we provide some examples to demonstrate the effectiveness of the proposed method. We construct the exact solutions for the boundary value problem to verify the accuracy and present a comparative study with the Galerkin scheme.\",\"PeriodicalId\":51039,\"journal\":{\"name\":\"Engineering Analysis with Boundary Elements\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Analysis with Boundary Elements\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1016/j.enganabound.2024.106056\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1016/j.enganabound.2024.106056","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文提出了一个计算时谐电磁场与三维弹性体相互作用的数值公式。这个公式是基于基本解的方法。首先，对位移场进行亥姆霍兹分解。该问题将转化为包含标量亥姆霍兹方程、矢量亥姆霍兹方程和麦克斯韦方程的耦合有界问题。然后，我们用基本解的方法来解决新问题。最后，通过算例验证了所提方法的有效性。我们构造了边值问题的精确解来验证其准确性，并与Galerkin格式进行了比较研究。

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

A meshless method based on the method of fundamental solution for time harmonic electromagnetic field with a three-dimensional elastic body

In this paper, we propose a numerical formula to calculate time-harmonic electromagnetic field interacting with three-dimensional elastic body. The formula is based on the method of fundamental solutions. Firstly, we perform Helmholtz decomposition on the displacement field. The problem will transform into a coupled bounded problem including a scaler Helmholtz equation, a vector Helmholtz equation and a Maxwell equation. Then, we use the method of fundamental solutions to solve the new problem. Finally, we provide some examples to demonstrate the effectiveness of the proposed method. We construct the exact solutions for the boundary value problem to verify the accuracy and present a comparative study with the Galerkin scheme.

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

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.