Speeding up explicit numerical evaluation methods for micromagnetic simulations using demagnetizing field polynomial extrapolation

Abstract

The performance of numerical micromagnetic models is limited by the demagnetizing field computation, which typically accounts for the majority of the computation time. For magnetization dynamics simulations explicit evaluation methods are in common use. Higher order methods call for evaluation of all effective field terms, including the demagnetizing field, at all sub-steps. Here a general method of speeding up such explicit evaluation methods is discussed, by skipping the demagnetizing field computation at sub-steps, and instead approximating it using polynomial extrapolation based on stored previous exact computations. This approach is tested for a large number of explicit evaluation methods, both adaptive and fixed time-step, ranging from 2nd order up to 5th order. The polynomial approximation order should be matched to the evaluation method order. In this case we show higher order methods with polynomial extrapolation are more accurate than lower order methods with full evaluation of the demagnetizing field. Moreover, for higher order methods we show it is possible to achieve a factor of 2 or more computation speedup with no decrease in solution accuracy.

References in corpus (10)

• The design and verification of Mumax3
• Switching of magnetization by non-linear resonance studied in single nanoparticles
• Current-induced skyrmion generation and dynamics in symmetric bilayers
• Diameter-independent skyrmion Hall angle in the plastic flow regime observed in chiral magnetic multilayers
• Spin-transfer torques for domain walls in antiferromagnetically coupled ferrimagnets
• Fidimag -- a finite difference atomistic and micromagnetic simulation package
• Boris Computational Spintronics -- High Performance Multi-Mesh Magnetic and Spin Transport Modelling Software
• Effective Field Model of Roughness in Magnetic Structures
• Role of an additional interfacial spin-transfer torque for current-driven skyrmion dynamics in chiral magnetic layers
• Interaction of Magnetization and Heat Dynamics for Pulsed Domain Wall Movement with Joule Heating

Cited by in corpus (2)

• Self-Consistent Computation of Spin Torques and Magneto-Resistance in Tunnel Junctions and Magnetic Read-Heads with Metallic Pinhole Defects
• Micromagnetic Monte Carlo method with variable magnetization length based on the Landau-Lifshitz-Bloch equation for computation of large-scale thermodynamic equilibrium states