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Compression of boundary element matrix in micromagnetic simulations

Compression of boundary element matrix in micromagnetic simulations
Compression of boundary element matrix in micromagnetic simulations
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.
0021-8979
1-3
Knittel, A.
53ff0fb5-8b73-41f7-b973-60a64c585278
Franchin, M.
2a19778e-3ee9-4770-ba7e-6ccc91f49ab0
Bordignon, G.
a3f8fb2d-ef28-481a-a0fe-b427aff314a9
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Bending, S.
b1f6912d-f315-4bb9-8a9e-1d29b10cd442
Fangohr, H.
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Knittel, A.
53ff0fb5-8b73-41f7-b973-60a64c585278
Franchin, M.
2a19778e-3ee9-4770-ba7e-6ccc91f49ab0
Bordignon, G.
a3f8fb2d-ef28-481a-a0fe-b427aff314a9
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Bending, S.
b1f6912d-f315-4bb9-8a9e-1d29b10cd442
Fangohr, H.
9b7cfab9-d5dc-45dc-947c-2eba5c81a160

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).

Record type: Article

Abstract

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.

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Published date: April 2009

Identifiers

Local EPrints ID: 64921
URI: https://eprints.soton.ac.uk/id/eprint/64921
ISSN: 0021-8979
PURE UUID: 91fc99ba-4397-46f9-a9e1-63099f96169f

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Date deposited: 26 Jan 2009
Last modified: 13 Mar 2019 20:20

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