Knittel, A., Franchin, M., Bordignon, G., Fischbacher, T., Bending, S. and Fangohr, H.
Compression of boundary element matrix in micromagnetic simulations
Journal of Applied Physics, 105, (07D542), . (doi:10.1063/1.3072032).
A hybrid finite element method/boundary element method (FEM/BEM) is a standard approach
for calculating the magnetostatic potential within Micromagnetics . This involves dealing with a
dense N ×N-matrix Bij , N being the number of mesh surface nodes. In order to apply the method
to ferromagnetic structures with a large surface one needs to apply matrix compression techniques on
Bij . An efficient approach is to approximate Bij by hierarchical matrices (or H-matrices). We have
used HLib , a library containing implementations of the hierarchical matrix methodology, together
with the micromagnetic finite element solver Nmag in order to optimize the hybrid FEM/BEM. In
this article we present a study of the efficiency of algorithms implemented in HLib concerning the
storage requirements and the matrix assembly time in micromagnetic simulations.
Actions (login required)