Abstract
This paper presents a numerical method for computing the conformal mappings onto the parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method relies on a boundary integral equation with the generalized Neumann kernel. For a given multiply connected domain of connectivity $$m+1$$ , the proposed method requires $$O((m+1)n\log n)$$ operations where n is the number of nodes in the discretization of each boundary component of the given domain. Several numerical examples are presented to illustrate the performance of the proposed method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have