Advanced Numerical Approaches for Magnetic Force Calculations: A Comprehensive Review

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2025

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Yang, Y.
Robertson, W.
Jafari, A.
Arjomandi, M.

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Journal article

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Progress In Electromagnetics Research B, 2025; 115:78-94

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Yuxin Yang, William S.P. Robertson, Azadeh Jafari, and Maziar Arjomandi

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Abstract

Magnetic forces play a significant role in modern engineering applications, from medical imaging, data storage to transportation and industrial machinery. Accurate and efficient computational methods for magnetic force are necessary for engineering design and optimisation. However, different methods are typically based on distinct assumptions and are suited to different application scenarios. To assist researchers and engineers in selecting the most appropriate method for their specific needs, this review provides a comprehensive overview of various numerical approaches for calculating magnetic forces across different magnetic systems. Several key methods such as Dipole Method, Filament Method, Finite Element Method (FEM), Energy Method, Maxwell Tensor Method, Integral Method and Boundary Element Method (BEM) are discussed in detail, demonstrating their fundamental theories, applicable scenarios, advantages, and limitations. Recent advancements and improved versions of these methods are also covered, demonstrating their enhanced accuracy and efficiency. In addition, the potential solutions of these methods and future directions of developing advanced magnetic force computation techniques are also discussed in this paper.

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Copyright Status Unknown. Published by The Electromagnetic Academy.

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