Computation of Multiply Connected Schwarz-Christoffel Maps for Exterior Domains
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We have recently derived a Schwarz-Christoffel formula for the conformal mapping of the exterior of a finite number of disks to the exterior of a set of polygonal curves . In this work we show how to formulate a set of equations for determining the parameters of such a map. A number of examples are computed, including exteriors of multiple slits. We also recall the derivation of the mapping formulae and give a new formula for the doubly connected case.
Key Wordsconformal mapping
2000 MSC30C30 65E05
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