155 citations · 987 across the 104 of their papers we have counts for
5 papers · 1 filter
Algebraic Multigrid Methods
Jinchao Xu, Ludmil T Zikatanov
This paper is to give an overview of AMG methods for solving large scale systems of equations such as those from the discretization of partial differential equations. AMG is often…
Error estimates for structure-preserving discretization of the incompressible MHD system
Yicong Ma, Jinchao Xu, Guodong Zhang
In this paper, we carry out the error analysis for the structure-preserving discretization of the incompressible MHD system. This system, as a coupled system of Navier-Stokes equat…
High-Order Extended Finite Element Methods for Solving Interface Problems
Fei Wang, Yuanming Xiao, Jinchao Xu
In this paper, we study arbitrary order extended finite element (XFE) methods based on two discontinuous Galerkin (DG) schemes in order to solve elliptic interface problems in two…
On the Stability and Accuracy of Partially and Fully Implicit Schemes for Phase Field Modeling
Jinchao Xu, Yukun Li, Shuonan Wu +1
We study in this paper the accuracy and stability of partially and fully implicit schemes for phase field modeling. Through theoretical and numerical analysis of Allen-Cahn and Cah…
Multiphase Allen-Cahn and Cahn-Hilliard Models and Their Discretizations with the Effect of Pairwise Surface Tensions
Shuonan Wu, Jinchao Xu
In this paper, the mathematical properties and numerical discretizations of multiphase models that simulate the phase separation of an -component mixture are studied. For the ge…