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

doi:10.4208/cicp.240515.040517a

	Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations
	Hu, Qiya1,2 ; Zhao, Lin 3
	2017-10-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	22 期号:4 页码:1069-1100
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.
关键词	2D-3T heat conduction equations discontinuous Galerkin method domain decomposition preconditioner iterative numbers
DOI	10.4208/cicp.240515.040517a
语种	英语
资助项目	Natural Science Foundation of China[G11571352]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000405928100009
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26157
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.