35 citations · 146 across the 37 of their papers we have counts for
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Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
Panchi Li, Changjian Xie, Rui Du +2
In this paper, we present two improved Gauss-Seidel projection methods with unconditional stability. The first method updates the gyromagnetic term and the damping term simultaneou…
Second-order semi-implicit projection methods for micromagnetics simulations
Changjian Xie, Carlos J. García-Cervera, Cheng Wang +2
Micromagnetics simulations require accurate approximation of the magnetization dynamics described by the Landau-Lifshitz-Gilbert equation, which is nonlinear, nonlocal, and has a n…
Convergence Analysis of A Second-order Semi-implicit Projection Method for Landau-Lifshitz Equation
Jingrun Chen, Cheng Wang, Changjian Xie
The numerical approximation for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material, is taken into consideration. This highly nonlinear equation…
A multiscale finite element method for the Schrödinger equation with multiscale potentials
Jingrun Chen, Dingjiong Ma, Zhiwen Zhang
In recent years, an increasing attention has been paid to quantum heterostructures with tailored functionalities, such as heterojunctions and quantum matematerials, in which quantu…