Preface to Focused Issue on Discontinuous Galerkin Methods
作者机构：Ecole Polytechnique Federale de Lausanne(EPFL)1015 LausanneSwitzerland Department of Applied Mathematics and StatisticsColorado School of MinesGoldenCO 80401USA Division of Applied MathematicsBrown UniversityProvidenceRI 02912USA Department of Applied MathematicsUniversity of Twente7500AE EnschedeThe Netherlands School of Mathematical SciencesUniversity of Science and Technology of ChinaHefei 230026AnhuiChina Department of MathematicsNanjing UniversityNanjing 210093JiangsuChina Department of MathematicsWayne State UniversityDetroitMI 48202USA
出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)
年 卷 期：2022年第4卷第1期
页 面：1-2页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：discontinuous stability piecewise
摘 要：The discontinuous Galerkin(DG)method is a class of finite element methods using com-pletely discontinuous piecewise smooth functions(typically polynomials)as basis and test *** its inception in 1973[10],it has seen a sustained development,both in the computational mathematics community and in many scientific and engineering application *** DG methods have several advantages,such as its extreme flexibility in dealing with complex geometry and adaptive computation(both h-and p-adaptivities are easy to implement),extremely high parallel efficiency,good stability properties(energy and entropy stability has been established for DG methods in many situations),nice con-vergence and superconvergence properties,and capability to solve hyperbolic and convec-tion-dominated problems effectively.
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