Stabilized multiphysics finite element method with Crank-Nicolson scheme for a poroelasticity model

被引：2
|
作者：
Ge, Zhihao [1 ,2 ]
He, Yanan [1 ]
Li, Tingting [1 ]
机构：
[1] Henan Univ, Sch Math & Stat, Jin Ming Ave, Kaifeng 475004, Peoples R China
[2] Henan Univ, Inst Appl Math, Kaifeng, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 35卷 / 04期
基金：
中国国家自然科学基金;
关键词：
locking phenomenon; multiphysics finite element method; poroelasticity model; GALERKIN FRAMEWORK;
D O I：
10.1002/num.22357
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we propose a stabilized multiphysics finite element method with Crank-Nicolson scheme for a poroelasticity model. The method can eliminate the locking phenomenon and reveal the multi-physical process. The lowest equal order finite element pair is used to reduce the computational cost. Furthermore, the method needs no constraint condition Delta t = O(h(2)) and achieves optimal convergent order. Numerical tests are provided to illustrate the optimal accuracy and good performance in eliminating locking phenomenon of the method.
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页码：1412 / 1428
页数：17
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