On capacity computation for symmetric polygonal condensers
Provides high-precision benchmark data for numerical methods in computational electromagnetics, but the work is incremental as it applies existing methods to a specific family of geometries.
The authors compute capacities of symmetric polygonal condensers with high precision using two analytical-numerical methods, and use these results to benchmark numerical algorithms, demonstrating the accuracy of adaptive hp-FEM and boundary integral methods.
Making use of two different analytical-numerical methods for capacity computation, we obtain matching to a very high precision numerical values for capacities of a wide family of planar condensers. These two methods are based respectively on the use of the Lauricella function and Riemann theta functions. We apply these results to benchmark the performance of numerical algorithms, which are based on adaptive $hp$--finite element method and boundary integral method.