3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2024
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…