A New Mixed Finite Element Method for Biot Consolidation Equations  

作　　者：Luoping Chen Yan Yang 

机构地区：[1]School of Mathematics,Southwest Jiaotong University,Chengdu,Sichuan 611756,China [2]School of Sciences,Southwest Petroleum University,Chengdu,Sichuan 610500,China [3]MOE Key Lab for Neuro Information,School of Life Science and Technology,University of Electronic Science and Technology of China,Chengdu,Sichuan 611731,China

出　　处：《Advances in Applied Mathematics and Mechanics》2020年第6期1520-1541,共22页应用数学与力学进展（英文）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11501473,11426189 and the Fundamental Research Funds for the Central Universities of China(No.2682016CX108).

摘　　要：In this paper,we study a new finite element method for poroelasticity problem with homogeneous boundary conditions.The finite element discretization method is based on a three-variable weak form with mixed finite element for the linear elasticity,i.e.,the stress tensor,displacement and pressure are unknown variables in the weak form.For the linear elasticity formula,we use a conforming finite element proposed in[11]for the mixed form of the linear elasticity and piecewise continuous finite element for the pressure of the fluid flow.We will show that the newly proposed finite element method maintains optimal convergence order.

关 键 词：Biot consolidation equations linear elasticity finite element method convergence analysis. 

分 类 号：O17[理学—数学]