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.
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页码：911 / 931
页数：21
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