Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals
Date
2022-08-10Author
Nasser, Mohamed M.S.
Rainio, Oona
Rasila, Antti
Vuorinen, Matti
Wallace, Terry
Yu, Hang
Zhang, Xiaohui
Metadata
Show full item recordCitation
Nasser, M., Rainio, O., Rasila, A., Vuorinen, M., Wallace, T., Yu, H., & Zhang, X. (2022). Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Advances in Computational Mathematics, 48(5), 58. https://doi.org/10.1007/s10444-022-09975-x
Abstract
We study numerical conformal mappings of planar Jordan domains with boundaries consisting of fnitely many circular arcs, also called polycircular domains, and compute the moduli of quadrilaterals for these domains. Experimental error estimates are provided and, when possible, comparison to exact values or other methods are given. We also analyze the rate of convergence as a function of the number of
degrees of freedom. The main ingredients of the computation are boundary integral equations combined with the fast multipole method.
Description
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