On capacity computation for symmetric polygonal condensers
Numerical Analysis
2019-03-05 v2
Abstract
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 --finite element method and boundary integral method.
Keywords
Cite
@article{arxiv.1804.01420,
title = {On capacity computation for symmetric polygonal condensers},
author = {Sergei Bezrodnykh and Andrei Bogatyrev and Sergei Goreinov and Oleg Grigoriev and Harri Hakula and Matti Vuorinen},
journal= {arXiv preprint arXiv:1804.01420},
year = {2019}
}
Comments
21 pages, 5 figures, 7 tables