5 papers
Optimal -norm error estimate of multiphysics finite element method for poroelasticity model and simulating brain edema
Zhihao Ge, Yanan He, Yajie Yang
In this paper, we derive an optimal -norm error estimate of the multiphysics finite element method for the poroelasticity model by introducing an auxiliary problem. We show so…
Optimal Error Estimates of a new Multiphysic Finite Element Method for Nonlinear Poroelasticity model with Hencky-Mises Stress Tensor
Yanan He, Zhihao Ge
In this paper, we develop a new multiphysics finite element method for a nonlinear poroelastic model with Hencky-Mises stress tensor. By introducing some new notations, we reformul…
A Parallel Solver with Multiphysics Finite Element Method for Poroelasticity Coupled with Elasticity Model
Zhihao Ge, Chengxin Wang
In this paper, we propose a parallel solver for solving the quasi-static linear poroelasticity coupled with linear elasticity model in the Lagrange multiplier framework. Firstly, w…
A new mixed finite element method for arbitrary element pair for a quasi-static nonlinear permeability thermo-poroelasticity model
Zhihao Ge, Wenshuai Hu
In this paper, we develop a multiphysics finite element method for solving the quasi-static thermo-poroelasticity model with nonlinear permeability. The model involves multiple phy…
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…