{"title":"A Nitsche's extended nonconforming virtual element method for biharmonic PDEs involving interfaces","authors":"Guodong Ma , Jinru Chen , Feng Wang","doi":"10.1016/j.camwa.2025.05.016","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, a Nitsche's extended nonconforming virtual element method is presented to discretize biharmonic PDEs involving interfaces with a more general interface condition. By introducing some special terms on cut edges and uncut edges of interface elements, we prove the well-posedness and optimal convergence, which are independent of the location of the interface relative to the mesh and the material parameter quotient. Finally, numerical experiments are carried out to verify theoretical results.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"192 ","pages":"Pages 134-154"},"PeriodicalIF":2.5000,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Mathematics with Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0898122125002147","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
In this paper, a Nitsche's extended nonconforming virtual element method is presented to discretize biharmonic PDEs involving interfaces with a more general interface condition. By introducing some special terms on cut edges and uncut edges of interface elements, we prove the well-posedness and optimal convergence, which are independent of the location of the interface relative to the mesh and the material parameter quotient. Finally, numerical experiments are carried out to verify theoretical results.
期刊介绍:
Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).