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Periodic Schwarz–Christoffel mappings with multiple boundaries per period

Periodic Schwarz–Christoffel mappings with multiple boundaries per period

We present an extension to the theory of Schwarz–Christoffel (S–C) mappings by permitting the target domain to be a single period window of a periodic configuration having multiple polygonal (straight-line) boundaries per period. Taking the arrangements to be periodic in the x -direction in an ( x , y )-plane, …