Numerical computation of a preimage domain for an infinite strip with rectilinear slits

Let ? be the multiply connected domain in extended complex plane $\overline {\mathbb {C}}$ obtained by removing m non-overlapping rectilinear segments from infinite strip $S=\{z : \left |\text {Im} z\right |<\pi /2\}$ . In this paper, we present an iterative method for numerical computation of a conformally equivalent bounded G interior unit disk $\mathbb {D}$ and exterior smooth Jordan curves. We demonstrate utility proposed through two applications. First, estimate capacity condensers form (S,E) where E ? S is union disjoint segments. Second, determine streamlines associated with uniform incompressible, inviscid irrotational flow past S.