Circular arc polygons, numerical conformal mappings, and moduli of quadrilaterals
Complex Variables
2023-03-16 v1 Numerical Analysis
Numerical Analysis
Abstract
We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs 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. The main ingredients of the computation are boundary integral equations combined with the fast multipole method.
Keywords
Cite
@article{arxiv.2107.11485,
title = {Circular arc polygons, numerical conformal mappings, and moduli of quadrilaterals},
author = {Mohamed Nasser and Oona Rainio and Antti Rasila and Matti Vuorinen and Terry Wallace and Hang Yu and Xiaohui Zhang},
journal= {arXiv preprint arXiv:2107.11485},
year = {2023}
}