A locking free numerical approximation for quasilinear poroelasticity problems

doi:10.1016/j.camwa.2020.07.011

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	A locking free numerical approximation for quasilinear poroelasticity problems
	Zhang, Jingyuan 1; Zhou, Chenguang 2,3; Cao, Yanzhao 4; Meir, A. J.5
	2020-09-15
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	80 期号:6 页码:1538-1554
摘要	This paper is devoted to a new formulation which couples the weak Galerkin method and the finite element method for approximating solutions of the equations of quasi-static poroelasticity which model flow through elastic porous media. It is assumed that the permeability of the elastic matrix depends nonlinearly on the dilatation of the porous medium. The steady-state version of the system is recast in terms of displacement, pressure, and volumetric stress, and the well-posedness of both the continuous and discrete three-field formulations is proved. Error estimates for the proposed numerical method are obtained. These show that the method is locking free. Numerical experiments presented further demonstrate the accuracy and the locking free characteristic of the proposed numerical method. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Poroelasticity Dilatation-dependent permeability Volumetric stress formulation Weak Galerkin mixed finite element method Finite element method
DOI	10.1016/j.camwa.2020.07.011
收录类别	SCI
语种	英语
资助项目	China Scholarship Council (CSC)[201606170175] ; National Science Foundation, USA[DMS1619969]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000566883300005
出版者	PERGAMON-ELSEVIER SCIENCE 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/52179
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Chenguang
作者单位	1.Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Shandong, Peoples R China 2.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA 5.Southern Methodist Univ, Dept Math, Dallas, TX 75275 USA
推荐引用方式 GB/T 7714	Zhang, Jingyuan,Zhou, Chenguang,Cao, Yanzhao,et al. A locking free numerical approximation for quasilinear poroelasticity problems[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2020,80(6):1538-1554.
APA	Zhang, Jingyuan,Zhou, Chenguang,Cao, Yanzhao,&Meir, A. J..(2020).A locking free numerical approximation for quasilinear poroelasticity problems.COMPUTERS & MATHEMATICS WITH APPLICATIONS,80(6),1538-1554.
MLA	Zhang, Jingyuan,et al."A locking free numerical approximation for quasilinear poroelasticity problems".COMPUTERS & MATHEMATICS WITH APPLICATIONS 80.6(2020):1538-1554.