DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD

doi:10.1051/m2an/2016050

	DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD
	Li, Xiang 1; Xu, Xuejun1,2
	2017-05-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	51 期号:3 页码:1021-1044
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.
关键词	DPG domain decomposition additive Schwarz preconditioner Robin boundary condition Helmholtz equation
DOI	10.1051/m2an/2016050
语种	英语
资助项目	National Natural Science Foundation of China[11225107]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000403204800010
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25714
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.