{"title":"Global Superconvergence Estimates of Petrov-Galerkin Methods for Hyperbolic Equations","authors":"Bo Yang","doi":"10.1109/DBTA.2010.5659048","DOIUrl":null,"url":null,"abstract":"In this paper, Petrov-Galerkin methods are employed for numerical solutions to hyperbolic partial differential equations, which are important mathematical models with many applications in engineering, such as wave transmission, petroleum reservoir. By virtue of superclose analysis and an interpolation postprocessing technique, the global superconvergence is obtained, which is new even for elliptic partial differential equations.","PeriodicalId":320509,"journal":{"name":"2010 2nd International Workshop on Database Technology and Applications","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 2nd International Workshop on Database Technology and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DBTA.2010.5659048","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, Petrov-Galerkin methods are employed for numerical solutions to hyperbolic partial differential equations, which are important mathematical models with many applications in engineering, such as wave transmission, petroleum reservoir. By virtue of superclose analysis and an interpolation postprocessing technique, the global superconvergence is obtained, which is new even for elliptic partial differential equations.