A hybrid finite element method/boundary element method (FEM/BEM) is a standard approach for calculating the magnetostatic potential within micromagnetics [D. Fredkin and T. Koehler, IEEE Trans. Magn.26, 415 (1990)]. This involves dealing with a dense N×N matrix Bij, with 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 [http://www.hlib.org], 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.
|Journal||Journal of Applied Physics|
|Publication status||Published - 26 Mar 2009|
|Event||53rd Annual Conference on Magnetism and Magnetic Materials - Austin, TX|
Duration: 1 Apr 2009 → …
- Magnetic recording
- Magnetic logic devices
Knittel, A., Franchin, M., Bordignon, G., Fischbacher, T., Bending, S., & Fangohr, H. (2009). Compression of boundary element matrix in micromagnetic simulations. Journal of Applied Physics, 105(7), [07D542]. https://doi.org/10.1063/1.3072032