Integral Equations Article Swipe
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· 2023
· Open Access
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· DOI: https://doi.org/10.1002/9781119866725.ch7
· OA: W4389259714
In this chapter, the authors present a number of integral equations approaches to the eddy current problem. Researchers develop a numerical method based on the vector potential in which a conductor is divided into two-dimensional patches, on which they will assume that the vector potential, and therefore the current density, is constant. The result will be surface integral equations for either the vector potential or the current density. The authors introduce the surface integral method. In this analysis, the surface of the regions with current were divided into small patches, and a set of simultaneous equations was developed for the potential at each of the segments. In the boundary element method, researchers also divide the conductor into small segments but only on the boundary of the region. In general, researchers can extend the integral equation method into three-dimensions, in which case they divide the relevant space into small volumetric elements.