A domain decomposition method for conformal mapping onto a rectangle

Abstract

Let g be the function which maps conformally a rectangle R onto a simply connected domain G so that the four vertices of R are mapped respectively onto four specified points z1, z2, z3, z4 on ∂G. This paper is concerned with the study of a domain decomposition method for computing approximations to g and to an associated domain functional in cases where: (i)G is bounded by two parallel straight lines and two Jordan arcs. (ii) The four points z1, z2, z3, Z4, are the corners where the two straight lines meet the two arcs. © 1991 Springer-Verlag New York Inc.