KMS Of Academy of mathematics and systems sciences, CAS
| Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations | |
Hu, Qiya1,2 ; Zhao, Lin3
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| 2017-10-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 22Issue:4Pages:1069-1100 |
| Abstract | 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. |
| Keyword | 2D-3T heat conduction equations discontinuous Galerkin method domain decomposition preconditioner iterative numbers |
| DOI | 10.4208/cicp.240515.040517a |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[G11571352] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000405928100009 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26157 |
| Collection | 计算数学与科学工程计算研究所 |
| Affiliation | 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 |
| 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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