4 papers
Analysis of multiphysics finite element method for quasi-static thermo-poroelasticity with a nonlinear convective transport term
Zhihao Ge, Dandan Xu
In this paper, we propose a multiphysics finite element method for a quasi-static thermo-poroelasticity model with a nonlinear convective transport term. To design some stable nume…
Error Estimates of a Fully Discrete Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model
Zhihao Ge, Wenlong He
In this paper, we propose a multiphysics finite element method for a nonlinear poroelasticity model. To better describe the processes of deformation and diffusion, we firstly refor…
Well-posedness of weak solution for a nonlinear poroelasticity model
Zhihao Ge, Wenlong He
In this paper, we study the existence and uniqueness of weak solution of a nonlinear poroelasticity model. To better describe the proccess of deformation and diffusion underlying i…
Multiphysics mixed finite element method with Nitsche's technique for Stokes poroelasticity problem
Zhihao Ge, Jin'ge Pang, Jiwei Cao
In this paper, we propose a multiphysics mixed finite element method with Nitsche's technique for Stokes-poroelasticity problem. Firstly, we present a multiphysics reformulation of…