Adaptive Mesh Refinement for Micromagnetics Simulations

C.J. García-Cervera and Alexandre M. Roma.


We present a methodology to perform efficiently micromagnetics simulations which combines an unconditionally stable, finite differences scheme with an adaptive mesh refinement technique. Enhanced accuracy is attained by covering locally special regions of the domain with a sequence of nested, progressively finer rectangular grid patches which dynamically follow sharp transitions of the magnetization field (e.g., walls and vortices). To illustrate our approach, we consider a rectangular sample of infinite thickness with strong anisotropy in the out-of-plane direction.

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Carlos Garcia Cervera