The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem  

作　　者：Jing Zhang Hongxing Rui 

机构地区：[1]School of Mathematics,Shandong University,Jinan,Shandong 250100,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2023年第3期792-819,共28页高等学校计算数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12131014).

摘　　要：In this work,we consider a combined finite element method for fully coupled nonlinear thermo-poroelastic model problems.The mixed finite element(MFE)method is used for the pressure,the characteristics finite element(CFE)method is used for the temperature,and the Galerkin finite element(GFE)method is used for the elastic displacement.The semi-discrete and fully discrete finite element schemes are established and the stability of this method is presented.We derive error estimates for the pressure,temperature and displacement.Several numerical examples are presented to confirm the accuracy of the method.

关 键 词：Quasi-static thermo-poroelasty characteristics finite element method porous media numerical experiments 

分 类 号：O17[理学—数学]