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arXiv Open Access 2018

On capacity computation for symmetric polygonal condensers

Sergei Bezrodnykh Andrei Bogatyrev Sergei Goreinov Oleg Grigoriev Harri Hakula +1 lainnya
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Abstrak

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 and Riemann theta functions. We apply these results to benchmark the performance of numerical algorithms, which are based on adaptive $hp$--finite element method and boundary integral method.

Topik & Kata Kunci

math.NA

Penulis (6)

S

Sergei Bezrodnykh

A

Andrei Bogatyrev

S

Sergei Goreinov

O

Oleg Grigoriev

H

Harri Hakula

M

Matti Vuorinen

Format Sitasi

APA MLA BibTeX
Bezrodnykh, S., Bogatyrev, A., Goreinov, S., Grigoriev, O., Hakula, H., Vuorinen, M. (2018). On capacity computation for symmetric polygonal condensers. https://arxiv.org/abs/1804.01420

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2018
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓