A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Conformal capacity and polycircular domains
Tekijät: Hakula Harri, Nasser Mohamed M.S., Vuorinen Matti
Kustantaja: ELSEVIER
Julkaisuvuosi: 2023
Journal: Journal of Computational and Applied Mathematics
Tietokannassa oleva lehden nimi: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Lehden akronyymi: J COMPUT APPL MATH
Artikkelin numero: 114802
Vuosikerta: 420
Sivujen määrä: 15
ISSN: 0377-0427
eISSN: 1879-1778
DOI: https://doi.org/10.1016/j.cam.2022.114802
Verkko-osoite: https://doi.org/10.1016/j.cam.2022.114802
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/178721404
We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular domains. Experimental error estimates are provided for the computed capacity and, when possible, the rate of convergence under refinement of discretization is analyzed. The main ingredients of the computation are two computational methods, on one hand the boundary integral equation method combined with the fast multipole method and on the other hand the hp-FEM method. The results obtained with these two methods agree with high accuracy.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Ladattava julkaisu This is an electronic reprint of the original article. |  |
