A locking free numerical approximation for quasilinear poroelasticity problems
文献类型：期刊论文
| 作者 | Zhang, Jingyuan2; Zhou, Chenguang3,4; Cao, Yanzhao5; Meir, A. J.1 |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2020-09-15 |
| 卷号 | 80期号:6页码:1538-1554 |
| 关键词 | Poroelasticity Dilatation-dependent permeability Volumetric stress formulation Weak Galerkin mixed finite element method Finite element method |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2020.07.011 |
| 英文摘要 | 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. |
| 资助项目 | China Scholarship Council (CSC)[201606170175] ; National Science Foundation, USA[DMS1619969] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000566883300005 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52178]  |
| 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.Southern Methodist Univ, Dept Math, Dallas, TX 75275 USA 2.Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Shandong, Peoples R China 3.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 5.Auburn Univ, Dept Math & Stat, Auburn, AL 36849 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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