A COUPLED METHOD COMBINING CROUZEIX-RAVIART NONCONFORMING AND NODE CONFORMING FINITE ELEMENT SPACES FOR BOIT CONSOLIDATION MODEL

被引：0

作者：

Zeng, Yuping ^{[1
]}

Cai, Mingchao ^{[2
]}

Zhong, Liuqiang ^{[3
]}

机构：

[1] Jiaying Univ, Sch Math, Meizhou 514015, Peoples R China

[2] Morgan State Univ, Dept Math, 1700 E Cold Spring Ln, Baltimore, MD 21251 USA

[3] South China Normal Univ, Sch Math Sci, Guangzhou 520631, Guangdong, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2024年 / 42卷 / 04期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Poroelasticity; Nonconforming finite element; Inf-sup condition; A priori error estimate; DISCONTINUOUS GALERKIN METHOD; BIOTS CONSOLIDATION; WEAK GALERKIN; 3-FIELD FORMULATION; ERROR ANALYSIS; POROELASTICITY; STABILITY; EQUATIONS; LOCKING; DISCRETIZATION;

D O I：

10.4208/jcm.2212-m2021-0231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed finite element method is presented for the Biot consolidation problem in poroelasticity. More precisely, the displacement is approximated by using the Crouzeix-Raviart nonconforming finite elements, while the fluid pressure is approximated by using the node conforming finite elements. The well-posedness of the fully discrete scheme is established, and a corresponding priori error estimate with optimal order in the energy norm is also derived. Numerical experiments are provided to validate the theoretical results.

引用

页码：911 / 931

页数：21

共 43 条

[41] Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 418
[42] Development of a composite material model coupled with node-separation finite element method for hypervelocity impact
Zhang X.-T.
Liu T.
He N.-B.
Wang R.-Q.
Zhang, Xiao-Tian (zhangxiaotian@buaa.edu.cn), 1600, Beijing Institute of Technology (25): : 56 - 59
[43] Development of a composite material model coupled with node-separation finite element method for hypervelocity impact
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刘涛
何宁泊
王睿青
Journal of Beijing Institute of Technology, 2016, 25(S2) (S2) : 56 - 59

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