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This contribution investigates the connection between Isogeometric Analysis(IgA) and the Partial Element Equivalent Circuit (PEEC) method forelectrostatic problems. We demonstrate that using the spline-based geometryconcepts from IgA allows for extracting circuit elements without a meshingstep. Moreover, the proposed IgA-PEEC method converges for complex geometriesup to three times faster than the conventional PEEC approach and, in turn, itrequires a significantly lower number of degrees of freedom to solve a problemwith comparable accuracy. The resulting method is closely related to theisogeometric boundary element method. However, it uses lowest-order basisfunctions to allow for straightforward physical and circuit interpretations.The findings are validated by an analytical example with complex geometry,i.e., significant curvature, and by a realistic model of a surge arrester.

A Spline-based Partial Element Equivalent Circuit Method for Electrostatics