Fast computation of magnetostatic fields by Non-uniform Fast Fourier Transforms

Evaggelos Kritsikis (1) , Jean-Christophe Toussaint (2) , Olivier Fruchart (2) , Helga Szambolics (3) , L. D. Buda-Prejbeanu (1, 3)

1 SPINTEC - SPINtronique et TEchnologie des Composants
2 NEEL - MNM - Micro et NanoMagnétisme
3 INPG

The bottleneck of micromagnetic simulations is the computation of the long-ranged magnetostatic fields. This can be tackled on regular N-node grids with Fast Fourier Transforms in time N logN, whereas the geometrically more versatile finite element methods (FEM) are bounded to N^4/3 in the best case. We report the implementation of a Non-uniform Fast Fourier Transform algorithm which brings a N logN convergence to FEM, with no loss of accuracy in the results.

Mots clés: Magnetostatics Micromagnetism FFT

Domaines: Science des matériaux [cond-mat.mtrl-sci]

Evaggelos Kritsikis, Jean-Christophe Toussaint, Olivier Fruchart, Helga Szambolics, L. D. Buda-Prejbeanu. Fast computation of magnetostatic fields by Non-uniform Fast Fourier Transforms. Applied Physics Letters, 2008, 93 (13), pp.132508. ⟨10.1063/1.2995850⟩. ⟨hal-00297240⟩