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, (07D542), 1-3. (doi:10.1063/1.3072032).


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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 [1]. 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 [2], 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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1063/1.3072032
ISSNs: 0021-8979 (print)
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Physics and Astronomy
University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID: 64921
Accepted Date and Publication Date:
April 2009Published
Date Deposited: 26 Jan 2009
Last Modified: 31 Mar 2016 12:50
Computational Modelling of Three-Dimensional Magnetic Nanostructures
Funded by: EPSRC (GR/T09156/01)
1 May 2005 to 31 October 2007

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