{"title":"A Hodge Decomposition Finite Element Method for the Quad-Curl Problem on Polyhedral Domains","authors":"Susanne C. Brenner, Casey Cavanaugh, Li-yeng Sung","doi":"10.1007/s10915-024-02626-x","DOIUrl":null,"url":null,"abstract":"<p>We design a finite element method for the quad-curl problem on three dimensional Lipschitz polyhedral domains with general topology that is based on the Hodge decomposition for divergence-free vector fields. Error estimates and corroborating numerical results are presented.</p>","PeriodicalId":50055,"journal":{"name":"Journal of Scientific Computing","volume":"175 1","pages":""},"PeriodicalIF":3.3000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Scientific Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10915-024-02626-x","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We design a finite element method for the quad-curl problem on three dimensional Lipschitz polyhedral domains with general topology that is based on the Hodge decomposition for divergence-free vector fields. Error estimates and corroborating numerical results are presented.
期刊介绍：
Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering.
The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.
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