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Hi. I am a Mechanical Engineering student. I'm not good at complex variable theory and having problem with finding conformal mapping of a doubly connected region to an annulus (or vice versa).

I know that the annulus is bounded by two circles with inner radius r and outer radius R and the inner and outer radii are not independent and the ratio R/r must be determined uniqely by the doubly connected region.

My doubly connected region is actually a hollow shape in which the inner and outer boundaries are geometrically similar and concentric. Parametric shape functions of the inner and outer boundaries in x-y plane are expressed as: {X=F(theta), Y=G(theta)}.

I would be really thankful if you could help me over this issue or introduce to me some useful references.


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What is the point of asking the same question three times? – Andrey Rekalo Jan 24 '11 at 17:12

1 Answer 1

Nick Trefethen is the world expert on numerical conformal mapping, so you might want to look at:

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