A1 Refereed original research article in a scientific journal
On capacity computation for symmetric polygonal condensers
Authors: Bezrodnykh S, Bogatyrev A, Goreinov S, Grigor'ev O, Hakula H, Vuorinen M
Publisher: ELSEVIER SCIENCE BV
Publication year: 2019
Journal: Journal of Computational and Applied Mathematics
Journal name in source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Journal acronym: J COMPUT APPL MATH
Volume: 361
First page : 271
Last page: 282
Number of pages: 12
ISSN: 0377-0427
eISSN: 1879-1778
DOI: https://doi.org/10.1016/j.cam.2019.03.030
Self-archived copy’s web address: https://arxiv.org/abs/1804.01420
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 (Bogatyrev, 2012; Grigoriev, 2013; Bogatyrev and Grigor'ev, 2017; Bogatyrev 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). (C) 2019 Elsevier B.V. All rights reserved.
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 (Bogatyrev, 2012; Grigoriev, 2013; Bogatyrev and Grigor'ev, 2017; Bogatyrev 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). (C) 2019 Elsevier B.V. All rights reserved.
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