Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals

TY - JOUR

T1 - Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals

AU - Nasser, Mohamed

AU - Rainio, Oona

AU - Rasila, Antti

AU - Vuorinen, Matti

AU - Wallace, Terry

AU - Yu, Hang

AU - Zhang, Xiaohui

PY - 2022/9/13

Y1 - 2022/9/13

N2 - 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.

AB - 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.

KW - Boundary integral equations

KW - Condenser capacity

KW - Numerical conformal mappings

U2 - 10.1007/s10444-022-09975-x

DO - 10.1007/s10444-022-09975-x

M3 - 文章

SN - 1019-7168

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

ER -