Conformal capacity and polycircular domains
المؤلف | Harri, Hakula |
المؤلف | Nasser, Mohamed M.S. |
المؤلف | Vuorinen, Matti |
تاريخ الإتاحة | 2024-03-12T08:36:24Z |
تاريخ النشر | 2023-03-01 |
اسم المنشور | Journal of Computational and Applied Mathematics |
المعرّف | http://dx.doi.org/10.1016/j.cam.2022.114802 |
الاقتباس | Hakula, H., Nasser, M. M., & Vuorinen, M. (2023). Conformal capacity and polycircular domains. Journal of Computational and Applied Mathematics, 420, 114802. |
الرقم المعياري الدولي للكتاب | 0377-0427 |
الملخص | 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. |
اللغة | en |
الناشر | Elsevier |
الموضوع | Multiply connected domains Condenser capacity Capacity computation |
النوع | Article |
رقم المجلد | 420 |
Open Access user License | http://creativecommons.org/licenses/by/4.0/ |
ESSN | 1879-1778 |
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