KMS Of Academy of mathematics and systems sciences, CAS
| Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition | |
| Zhou, Chenguang1,2; Zou, Yongkui1; Chai, Shimin1; Zhang, Fengshan1 | |
| 2020-01-28 | |
| Source Publication | MATHEMATICAL PROBLEMS IN ENGINEERING
 |
| ISSN | 1024-123X |
| Volume | 2020Pages:11 |
| Abstract | This paper is devoted to the numerical analysis of weak Galerkin mixed finite element method (WGMFEM) for solving a heat equation with random initial condition. To set up the finite element spaces, we choose piecewise continuous polynomial functions of degree j+1 with j >= 0 for the primary variables and piecewise discontinuous vector-valued polynomial functions of degree j for the flux ones. We further establish the stability analysis of both semidiscrete and fully discrete WGMFE schemes. In addition, we prove the optimal order convergence estimates in L2 norm for scalar solutions and triple-bar norm for vector solutions and statistical variance-type convergence estimates. Ultimately, we provide a few numerical experiments to illustrate the efficiency of the proposed schemes and theoretical analysis. |
| DOI | 10.1155/2020/8796345 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11371171] ; National Natural Science Foundation of China[11771179] |
| WOS Research Area | Engineering ; Mathematics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000514368200001 |
| Publisher | HINDAWI LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50850 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Chai, Shimin |
| Affiliation | 1.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Zhou, Chenguang,Zou, Yongkui,Chai, Shimin,et al. Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2020,2020:11. |
| APA | Zhou, Chenguang,Zou, Yongkui,Chai, Shimin,&Zhang, Fengshan.(2020).Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition.MATHEMATICAL PROBLEMS IN ENGINEERING,2020,11. |
| MLA | Zhou, Chenguang,et al."Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition".MATHEMATICAL PROBLEMS IN ENGINEERING 2020(2020):11. |
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