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Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations
Hu, Qiya1,2; Zhao, Lin3
2017-10-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume22Issue:4Pages:1069-1100
AbstractIn 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.
Keyword2D-3T heat conduction equations discontinuous Galerkin method domain decomposition preconditioner iterative numbers
DOI10.4208/cicp.240515.040517a
Language英语
Funding ProjectNatural Science Foundation of China[G11571352]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000405928100009
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26157
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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