On capacity computation for symmetric polygonal condensers

Авторы: Bezrodnykh S., Bogatyrev A., Goreinov S., Grigor’ev O., Hakula H., Vuorinen M.
Журнал: Journal of Computational and Applied Mathematics
Том: 361
Год издания: 2019
Издательство: Elsevier BV
Местоположение издательства: Netherlands
DOI: 10.1016/j.cam.2019.03.030
Аннотация: Making use of two different analytical–numerical methods for capacity computation, the paper obtains 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) and Riemann theta functions (Bogatyrëv, 2012; Grigoriev, 2013; Bogatyrëv and Grigor’ev, 2017; Bogatyrëv and Grigor’ev, 2018). The work applies 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).
Добавил в систему: Безродных Сергей Игоревич

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