24 citations · 36 across the 9 of their papers we have counts for
10 papers
A generalized Scharfetter-Gummel scheme for nonlocal cross-diffusion systems
Ansgar Jüngel, Panchi Li, Zhiwei Sun
An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the multidimensional torus is analyzed. The equations describe the dynamics of population species wi…
Finite volume element method for Landau-Lifshitz equation
Yunjie Gong, Jingrun Chen, Rui Du +1
The Landau-Lifshitz equation describes the dynamics of magnetization in ferromagnetic materials. Due to the essential nonlinearity and nonconvex constraint, it is typically solved…
Enhanced second-order Gauss-Seidel projection methods for the Landau-Lifshitz equation
Panchi Li, Xiao-Ping Wang
The dynamics of magnetization in ferromagnetic materials are modeled by the Landau-Lifshitz equation, which presents significant challenges due to its inherent nonlinearity and non…
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction
Panchi Li, Shuting Gu, Jin Lan +3
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interact…
Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation
Jingrun Chen, Panchi Li, Cheng Wang
The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an…
A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation
Panchi Li, Lei Yang, Jin Lan +2
Recent theoretical and experimental advances show that the inertia of magnetization emerges at sub-picoseconds and contributes to the ultrafast magnetization dynamics which cannot…
A Gauss-Seidel projection method with the minimal number of updates for stray field in micromagnetic simulations
Panchi Li, Zetao Ma, Rui Du +1
Magnetization dynamics in magnetic materials is often modeled by the Landau-Lifshitz equation, which is solved numerically in general. In micromagnetic simulations, the computation…
Numerical methods for antiferromagnetics
Panchi Li, Jingrun Chen, Rui Du +1
Compared with ferromagnetic counterparts, antiferromagnetic materials are considered as the future of spintronic applications since these materials are robust against the magnetic…
Quasi-Monte Carlo sampling for machine-learning partial differential equations
Jingrun Chen, Rui Du, Panchi Li +1
Solving partial differential equations in high dimensions by deep neural network has brought significant attentions in recent years. In many scenarios, the loss function is defined…
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…