A modified Schwarz–Christoffel mapping for regions with piecewise smooth boundaries |
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Authors: | Anders Andersson |
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Institution: | International Centre for Mathematical Modelling, Växjö University, Växjö, Sweden and School of Engineering, Jönköping University, Jönköping, Sweden |
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Abstract: | A method where polygon corners in Schwarz–Christoffel mappings are rounded, is used to construct mappings from the upper half-plane to regions bounded by arbitrary piecewise smooth curves. From a given curve, a polygon is constructed by taking tangents to the curve in a number of carefully chosen so-called tangent points. The Schwarz–Christoffel mapping for that polygon is then constructed and modified to round the corners. |
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Keywords: | 30C20 30C30 |
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