On capacity computation for symmetric polygonal condensers

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

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 (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
Volume361
DOIs
Publication statusPublished - 1 Dec 2019
MoE publication typeA1 Journal article-refereed

Keywords

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

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