中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD

文献类型：期刊论文

作者Li, Xiang1; Xu, Xuejun1,2
刊名ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
出版日期2017-05-01
卷号51期号:3页码:1021-1044
关键词DPG domain decomposition additive Schwarz preconditioner Robin boundary condition Helmholtz equation
ISSN号0764-583X
DOI10.1051/m2an/2016050
英文摘要In this paper, we design some efficient domain decomposition preconditioners for the discontinuous Petrov-Galerkin (DPG) method. Due to the special properties of the DPG method, the boundary condition becomes crucial in both of its application and analysis. We mainly focus on one of the boundary conditions: the Robin boundary condition, which actually appears in some useful model problems like the Helmholtz equation. We first design a two-level additive Schwarz preconditioner for the Poisson equation with a Robin boundary condition and give a rigorous condition number estimate for the preconditioned algebraic system. Moreover we also construct an additive Schwarz preconditioner for solving the Helmholtz equation. Numerical results show that the condition number of the preconditioned system is independent of wavenumber. and mesh size h.
资助项目National Natural Science Foundation of China[11225107]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000403204800010
出版者EDP SCIENCES S A
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25713]  
专题计算数学与科学工程计算研究所
通讯作者Li, Xiang
作者单位1.Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Tongji Univ, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Xiang,Xu, Xuejun. DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2017,51(3):1021-1044.
APA Li, Xiang,&Xu, Xuejun.(2017).DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,51(3),1021-1044.
MLA Li, Xiang,et al."DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 51.3(2017):1021-1044.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。