• DOI:10.1016/j.cam.2019.03.030
Corpus ID: 55439809

On capacity computation for symmetric polygonal condensers

@article{Bezrodnykh2019OnCC,
  title={On capacity computation for symmetric polygonal condensers},
  author={S. I. Bezrodnykh and A. Bogatyrev and S. A. Goreinov and O. Grigor'ev and H. Hakula and M. Vuorinen},
  journal={J. Comput. Appl. Math.},
  year={2019},
  volume={361},
  pages={271-282}
}

S. I. Bezrodnykh, A. Bogatyrev, +3 authors M. Vuorinen

Published 2019

Mathematics, Computer Science

J. Comput. Appl. Math.

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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.