7 papers
Mini mixed finite element method for nearly incompressible linear elasticity problems
Zhijin Guan, Yue Feng, Hehu Xie +1
This paper addresses the numerical solution of nearly incompressible linear elasticity boundary value problems and their associated eigenvalue problems. A mixed finite element form…
Optimal error estimates of sequential finite element method for nonlinear thermo-poroelasticity problems
Fang Wang, Fan Chen, Changqing Lv +1
This study introduces and analyzes a three-step sequential decoupling algorithm designed to address nonlinear, fully coupled quasi-static thermo-poroelasticity systems incorporatin…
Sequential symmetric interior penalty discontinuous Galerkin method for fully coupled quasi-static thermo-poroelasticity problems
Fan Chen, Ming Cui, Chenguang Zhou
In this paper, we investigate a sequentially decoupled numerical method for solving the fully coupled quasi-static thermo-poroelasticity problems with nonlinear convective transpor…
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method
Yue Feng, Zhijin Guan, Hehu Xie +1
This study proposes a class of augmented subspace schemes for the weak Galerkin (WG) finite element method used to solve eigenvalue problems. The augmented subspace is built with t…
Weak Galerkin finite element method for linear poroelasticity problems
Shanshan Gu, Shimin Chai, Chenguang Zhou
This paper is devoted to a weak Galerkin (WG) finite element method for linear poroelasticity problems where weakly defined divergence and gradient operators over discontinuous fun…
Enhanced Error Estimates for Augmented Subspace Method
Haikun Dang, Yifan Wang, Hehu Xie +1
In this paper, some enhanced error estimates are derived for the augmented subspace methods which are designed for solving eigenvalue problems. We will show that the augmented subs…
A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces
Haikun Dang, Hehu Xie, Gang Zhao +1
In this paper, we present a nonnested augmented subspace algorithm and its multilevel correction method for solving eigenvalue problems with curved interfaces. The augmented subspa…