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math.NA2016★ 22 cited
The mimetic finite difference method for the Landau-Lifshitz equation
Eugenia Kim, Konstantin Lipnikov
The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magn…
math.NA2016
Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation
Eugenia Kim, Jon Wilkening
The dynamics of the magnetic distribution in a ferromagnetic material is governed by the Landau-Lifshitz equation, which is a nonlinear geometric dispersive equation with a nonconv…