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Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition

文献类型：期刊论文

作者Zhou, Chenguang1,2; Zou, Yongkui2; Chai, Shimin2; Zhang, Fengshan2
刊名MATHEMATICAL PROBLEMS IN ENGINEERING
出版日期2020-01-28
卷号2020页码:11
ISSN号1024-123X
DOI10.1155/2020/8796345
英文摘要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.
资助项目National Natural Science Foundation of China[11371171] ; National Natural Science Foundation of China[11771179]
WOS研究方向Engineering ; Mathematics
语种英语
WOS记录号WOS:000514368200001
出版者HINDAWI LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50849]  
专题中国科学院数学与系统科学研究院
通讯作者Chai, Shimin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
2.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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