Compression of Boundary Element Matrix in Micromagnetic Simulations
نویسندگان
چکیده
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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