A1 Refereed original research article in a scientific journal
Conformal capacity and polycircular domains
Authors: Hakula Harri, Nasser Mohamed M.S., Vuorinen Matti
Publisher: ELSEVIER
Publication year: 2023
Journal: Journal of Computational and Applied Mathematics
Journal name in source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Journal acronym: J COMPUT APPL MATH
Article number: 114802
Volume: 420
Number of pages: 15
ISSN: 0377-0427
eISSN: 1879-1778
DOI: https://doi.org/10.1016/j.cam.2022.114802
Web address : https://doi.org/10.1016/j.cam.2022.114802
Self-archived copy’s web address: 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/).
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