Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

doi:10.4208/cicp.240515.040517a

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations
	Hu, Qiya1,2 ; Zhao, Lin 3
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2017-10-01
卷号	22 期号:4 页码:1069-1100
关键词	2D-3T heat conduction equations discontinuous Galerkin method domain decomposition preconditioner iterative numbers
ISSN号	1815-2406
DOI	10.4208/cicp.240515.040517a
英文摘要	In this paper we are concerned with numerical methods for nonlinear time-dependent problem coupled by electron, ion and photon temperatures in two dimensions, which is called the 2D-3T heat conduction equations. We propose discontinuous Galerkin (DG) methods for the discretization of the equations. For solving the resulting discrete system, we employ two domain decomposition (DD) preconditioners, one of which is associated with the non-overlapping DDM and the other is based on DDM with small overlap. The preconditioners are constructed by dropping the couplings between particles and each preconditioner consists of three preconditioners with smaller matrix size. To gauge the efficiency of the preconditioners, we test two examples and make different settings of parameters. Numerical results show that the proposed preconditioners are very effective to the 2D-3T problem.
资助项目	Natural Science Foundation of China[G11571352]
WOS研究方向	Physics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000405928100009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26156]
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China 3.Huada Empyrean Software Co Ltd, China Elect Corp, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qiya,Zhao, Lin. Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,22(4):1069-1100.
APA	Hu, Qiya,&Zhao, Lin.(2017).Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,22(4),1069-1100.
MLA	Hu, Qiya,et al."Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 22.4(2017):1069-1100.