On capacity computation for symmetric polygonal condensers

Research output: Contribution to journalArticleScientificpeer-review


  • Sergei Bezrodnykh
  • Andrei Bogatyrëv
  • Sergei Goreinov
  • Oleg Grigor'ev
  • Harri Hakula
  • Matti Vuorinen

Research units

  • Russian Academy of Sciences
  • People's Friendship University of Russia
  • University of Turku


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 (Bezrodnykh and Vlasov, 2002; Bezrodnykh, 2016 [64,65]) and Riemann theta functions (Bogatyrëv, 2012; Grigoriev, 2013; Bogatyrëv and Grigor'ev, 2017; Bogatyrëv and Grigor'ev, 2018). We apply these results to benchmark the performance of numerical algorithms, which are based on adaptive hp-finite element method (Hakula et al. 2011, 2013, 2018) and boundary integral method (Tsuji, 1959; Jaswon and Symm, 1977; Albrecht and Collatz, 1980).


Original languageEnglish
Pages (from-to)271-282
Number of pages12
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - 1 Dec 2019
MoE publication typeA1 Journal article-refereed

    Research areas

  • Boundary integral method, Capacity, Condenser, Finite element method, Lauricella function, Theta function

ID: 34090612