6 citations · 8 across the 12 of their papers we have counts for
10 papers · 1 filter
Optimal error estimates of multiphysics finite element method for a nonlinear poroelasticity model with nonlinear stress-strain relations
Zhihao Ge, Hairun Li, Tingting Li
In this paper, we study the numerical algorithm for a nonlinear poroelasticity model with nonlinear stress-strain relations. By using variable substitution, the original problem ca…
A new multiphysics finite element method for a Biot model with secondary consolidation
Zhihao Ge, Wenlong He
In this paper, we propose a new multiphysics finite element method for a Biot model with secondary consolidation in soil dynamics. To better describe the processes of deformation a…
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…
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…
Multirate iterative scheme with multiphysics finite element method for a fluid-saturated poroelasticity
Zhihao Ge, Xiangzi Fu
In this paper, we propose a multirate iterative scheme with multiphysics finite element method for a fluid-saturated poroelasticity model. Firstly, we reformulate the original mode…
Analysis of new stabilized hp discontinuous Galerkin methods for elasticity problem
Zhihao Ge, Xiaogang Zhu
In the paper, we propose three new hp discontinuous Galerkin methods for the elasticity problem and make a comparison of the three numerical methods. And we prove the optimal order…
Numerical Methods for the Bogoliubov-Tolmachev-Shirkov model in superconductivity theory
Zhihao Ge, Ruihua Li
In the work, the numerical methods are designed for the Bogoliubov-Tolmachev-Shirkov model in superconductivity theory. The numerical methods are novel and effective to determine t…
Multiphysics Finite Element Methods for a Poroelasticity Model
Xiaobing Feng, Zhihao Ge, Yukun Li
This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic mate…
Analysis of a new stabilized discontinuous Galerkin method for the reaction-diffusion problem with discontinuous coefficient
Zhihao Ge, Jiwei Cao
In this paper, a new stabilized discontinuous Galerkin method within a new function space setting is introduced, which involves an extra stabilization term on the normal fluxes acr…
A new variational formulation based on discontinuous Galerkin technique for a reaction-diffusion problem
Zhihao Ge, Jiwei Cao
In this paper, a new variational formulation based on discontinuous Galerkin technique for a reaction-diffusion problem is introduced, and the discontinuous Galerkin technique of t…