On capacity computation for symmetric polygonal condensers

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On capacity computation for symmetric polygonal condensers. / Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor'ev, Oleg; Hakula, Harri; Vuorinen, Matti.

In: Journal of Computational and Applied Mathematics, Vol. 361, 01.12.2019, p. 271-282.

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Bezrodnykh, Sergei ; Bogatyrëv, Andrei ; Goreinov, Sergei ; Grigor'ev, Oleg ; Hakula, Harri ; Vuorinen, Matti. / On capacity computation for symmetric polygonal condensers. In: Journal of Computational and Applied Mathematics. 2019 ; Vol. 361. pp. 271-282.

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@article{c85da0350c974b02a17aafca6ae29948,
title = "On capacity computation for symmetric polygonal condensers",
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 (Bogatyr{\"e}v, 2012; Grigoriev, 2013; Bogatyr{\"e}v and Grigor'ev, 2017; Bogatyr{\"e}v 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).",
keywords = "Boundary integral method, Capacity, Condenser, Finite element method, Lauricella function, Theta function",
author = "Sergei Bezrodnykh and Andrei Bogatyr{\"e}v and Sergei Goreinov and Oleg Grigor'ev and Harri Hakula and Matti Vuorinen",
year = "2019",
month = "12",
day = "1",
doi = "10.1016/j.cam.2019.03.030",
language = "English",
volume = "361",
pages = "271--282",
journal = "Journal of Computational and Applied Mechanics",
issn = "0377-0427",
publisher = "Elsevier",

}

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TY - JOUR

T1 - On capacity computation for symmetric polygonal condensers

AU - Bezrodnykh, Sergei

AU - Bogatyrëv, Andrei

AU - Goreinov, Sergei

AU - Grigor'ev, Oleg

AU - Hakula, Harri

AU - Vuorinen, Matti

PY - 2019/12/1

Y1 - 2019/12/1

N2 - 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).

AB - 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).

KW - Boundary integral method

KW - Capacity

KW - Condenser

KW - Finite element method

KW - Lauricella function

KW - Theta function

UR - http://www.scopus.com/inward/record.url?scp=85065450576&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2019.03.030

DO - 10.1016/j.cam.2019.03.030

M3 - Article

VL - 361

SP - 271

EP - 282

JO - Journal of Computational and Applied Mechanics

JF - Journal of Computational and Applied Mechanics

SN - 0377-0427

ER -

ID: 34090612