Numerical method determines surface charge density in conducting ellipsoids, indicating improved accuracy over previous techniques.
An effective method for determining the surface charge density of ellipsoidal conductors in an external axisymmetric electric field is proposed. The method is based on solving a one-dimensional Fredholm integral equation of the first kind using the Galerkin method. Numerical experiments conducted to solve model problems illustrate a significant reduction in computational error using the proposed method compared to errors obtained in previous studies on this topic.
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A.O. Savchenko (2025) studied this question.
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