Adaptive Mesh Refinement for Micromagnetics Simulations
C.J. García-Cervera and Alexandre M. Roma.
We present a methodology to perform efficiently
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.