MSM 2000
MSM 2000
Technical Proceedings of the 2000 International Conference on Modeling and Simulation of Microsystems

Signal Integrity Simulation and Verification Chapter 9

Wavelet Based Matrix Compression in Numerical Micromagnetics

Authors: T. Schrefl, D. Süss and J. Fidler

Affilation: Vienna University of Technology, Austria

Pages: 429 - 432

Keywords: micromagnetics, finite elements, boundary elements, wavelets, matrix compression

Abstract:
Magnetic sensors and magneto-mechanic devices consist of spatially distinct ferromagnetic parts. Modeling their functional behavior requires to take into account the magnetostatic interactions between the magnetic elements. A hybrid finite element / boundary element method is combined with a wavelet matrix compression technique to simulate magnetization reversal of an array of magnetic nano-elements. This novel method reduces the storage requirements and the CPU time while keeping a reasonable accuracy. The boundary element matrix shows a sparsity of 80% to 90% with a corresponding relative error of the magnetic properties in the range of 2% to 5%. The calculated switching field of elongated NiFe nano-elements depends on magnetic state of neighboring elements. The spread in the switching field agrees with experimental data obtained from Lorentz electron microscopy.

Wavelet Based Matrix Compression in Numerical Micromagnetics

ISBN: 0-9666135-7-0
Pages: 741