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    Conformal capacity and polycircular domains

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    Date
    2022-09-13
    Author
    Hakula, Harri
    Nasser, Mohamed M.S.
    Vuorinen, Matti
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    Citation
    Hakula, H., Nasser, M. M. S., & Vuorinen, M. (2023). Conformal capacity and polycircular domains. Journal of Computational and Applied Mathematics, 420, 114802. https://doi.org/https://doi.org/10.1016/j.cam.2022.114802
    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.
    Description
    This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
    URI
    https://doi.org/10.1016/j.cam.2022.114802
    https://soar.wichita.edu/handle/10057/24135
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    • PHY Research Publications (from 2011)

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