Circular Slits Map of Bounded Multiply Connected Regions

Abstract EN

We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region.

The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized, and modified Neumann kernels.

These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region.

Some numerical examples are presented to illustrate the efficiency of the presented method.