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Conformal capacity and polycircular domains
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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15
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Journal of Computational and Applied Mathematics, Volume 420, pp. 1-15
Abstract
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.
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Funding Information: The authors would like to thank two anonymous reviewers for their valuable comments and suggestions which greatly improved the presentation of this paper. Publisher Copyright: © 2022 The Author(s)
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Hakula, H, Nasser, M M S & Vuorinen, M 2023, 'Conformal capacity and polycircular domains', Journal of Computational and Applied Mathematics, vol. 420, 114802, pp. 1-15. https://doi.org/10.1016/j.cam.2022.114802