A1 Refereed original research article in a scientific journal
Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals
Authors: Nasser Mohamed, Rainio Oona, Rasila Antti, Vuorinen Matti, Wallace Terry, Yu Hang, Zhang Xiaohui
Publisher: SPRINGER
Publication year: 2022
Journal: Advances in Computational Mathematics
Journal name in source: ADVANCES IN COMPUTATIONAL MATHEMATICS
Journal acronym: ADV COMPUT MATH
Article number: 58
Volume: 48
Issue: 5
Number of pages: 34
ISSN: 1019-7168
eISSN: 1572-9044
DOI: https://doi.org/10.1007/s10444-022-09975-x
Web address : https://link.springer.com/article/10.1007/s10444-022-09975-x
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/176352751
We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely 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.
Downloadable publication This is an electronic reprint of the original article. |  |
