Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition

doi:10.1155/2020/8796345

CSpace

	Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition
	Zhou, Chenguang 1,2; Zou, Yongkui 1; Chai, Shimin 1; Zhang, Fengshan 1
	2020-01-28
发表期刊	MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN	1024-123X
卷号	2020 页码:11
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.
DOI	10.1155/2020/8796345
收录类别	SCI
语种	英语
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
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000514368200001
出版者	HINDAWI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50850
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.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
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.