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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.

B.G.B

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What is the point of asking the same question three times? –  Andrey Rekalo Jan 24 '11 at 17:12
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1 Answer 1

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

http://www.amazon.com/Schwarz-Christoffel-Mapping-Tobin-Driscoll/dp/0521807263/ref=sr_1_2?ie=UTF8&qid=1295888442&sr=8-2

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