N. Popovic, D. Praetorius:

"H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics";

Lecture Notes in Computer Science (invited),3743(2006), 102 - 110.

A major task in the simulation of micromagnetic phenomena is the

effective computation of the stray-field $\H$ and/or of the

corresponding energy, where $\H$ solves the magnetostatic Maxwell

equations in the entire space. For a given FE magnetization $\m_h$,

the naive computation of $\H$ via a closed formula typically leads

to dense matrices and quadratic complexity with respect to the

number $N$ of elements. To reduce the computational cost, it is

proposed to apply $\HH$-matrix techniques instead. This approach

allows for the computation (and evaluation) of $\H$ in linear

complexity even on adaptively generated (or unstructured) meshes.

http://www.anum.tuwien.ac.at/~dirk/download/published/pp02_lncs3743.pdf

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