Title :
Fast boundary methods for magnetostatic interactions in micromagnetics
Author :
Forster, Hermann ; Schrefl, Thomas ; Dittrich, Rok ; Scholz, Werner ; Fidler, Josef
Author_Institution :
Inst. of Solid State Phys., Vienna Univ. of Technol., Austria
Abstract :
Fast boundary integration methods are implemented to increase the efficiency of the calculation of the magnetostatic interaction of magnetic particles. We test the treecode algorithm and a hierarchical matrices method to improve the original used matrix-vector multiplication with a fully populated matrix. We compare the CPU-time used for the setup phase and for the matrix-vector multiplication, as well as the required storage.
Keywords :
finite element analysis; magnetostatics; micromagnetics; nanoparticles; CPU-time; fast boundary integration methods; finite elements; hierarchical matrices method; magnetic particles; magnetostatic interaction; matrix-vector multiplication; micromagnetics; treecode algorithm; Clustering algorithms; Computational efficiency; Equations; Finite element methods; Iron; Magnetic particles; Magnetostatics; Micromagnetics; Sparse matrices; Testing;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.816458