Compression of boundary element matrix in micromagnetic simulations
Knittel, A., Franchin, M., Bordignon, G., Fischbacher, T., Bending, S. and Fangohr, H., 2009. Compression of boundary element matrix in micromagnetic simulations. Journal of Applied Physics, 105 (7), 07D542.
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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 X N matrix B-ij, 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 B-ij. An efficient approach is to approximate B-ij 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.
|Creators||Knittel, A., Franchin, M., Bordignon, G., Fischbacher, T., Bending, S. and Fangohr, H.|
|Departments||Faculty of Science > Physics|
|Additional Information||Proceedings paper from 53rd Annual Conference on Magnetism and Magnetic Materials. Austin, Texas, USA, 11-14 Novemebr, 2008|
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