The primary aim of this paper is the derivation and the proof of a simple and tractable formula for the stray field energy in micromagnetic problems. The formula is based on an expansion in terms of Arar-Boulmezaoud functions. It remains valid even if the magnetization is not of constant magnitude or if the sample is not geometrically bounded. The paper continuous with a direct and important application which consists in a fast summation technique of the stray field energy. The convergence of this technique is established and its efficiency is proved by various numerical experiences.
翻译：本文件的主要目的是为微磁问题中的流星体能量得出和证明一个简单和可移植的流星体能量公式,该公式以Arar-Boulmezaoud函数的扩展为基础,即使磁化不是恒定规模或样品没有几何界限,仍然有效。该文件继续直接和重要的应用,包括流星体能量的快速总和技术。这一技术的趋同已经确立,其效率得到了各种数字经验的证明。
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