{"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":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10915-024-02626-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
