{"title":"Pointwise error estimates for C0 interior penalty approximation of biharmonic problems","authors":"D. Leykekhman","doi":"10.1090/mcom/3596","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to derive pointwise global and local best approximation type error estimates for biharmonic problem using C0 interior penalty method. The analysis uses the technique of dyadic decompositions of the domain, which assumed to be a convex polygon. The proofs require local energy estimate and new pointwise Green’s function estimates for the continuous problem which have an independent interest.","PeriodicalId":18301,"journal":{"name":"Math. Comput. Model.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Math. Comput. Model.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/mcom/3596","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The aim of this paper is to derive pointwise global and local best approximation type error estimates for biharmonic problem using C0 interior penalty method. The analysis uses the technique of dyadic decompositions of the domain, which assumed to be a convex polygon. The proofs require local energy estimate and new pointwise Green’s function estimates for the continuous problem which have an independent interest.
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