Abstract
This paper describes an integral equation method for computing the conformal mapping of the exterior of a given simply-connected region onto the exterior of the unit circle. The method includes evaluation of the transfinite, diameter of the given region. Results are presented for a number of trial problems.
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Symm, G. T.: An integral equation method in conformal mapping. Num. Math.9, 250–258 (1966).
Rabinowitz, P.: Numerical experiments in conformal mapping by the method of orthonormal polynomials. J. Assoc. Comp. Mach.13, 296–303 (1966).
Jaswon, M. A.: Integral equation methods in potential theory. I. Proc. Roy. Soc. A275, 23–32 (1963).
Symm, G. T.: Integral equation methods in potential theory. II. Proc. Roy. Soc. A275, 33–46 (1963).
—Symm, G. T. Integral equation methods in elasticity and potential theory. N.P.L. Maths. Div. Rep. No.51, 1964.
Pólya, G., andG. Szegö: Isoperimetric inequalities in mathematical physics. Princeton: University 1951.
Phillips, E. G.: Functions of a complex variable. Edinburgh: Oliver and Boyd 1957.
Bickley, W. G.: Two-dimensional potential problems for the space outside a rectangle. Proc. Lond. Math. Soc., Ser. 2,37, 82–105 (1932).
Davis, P., andP. Rabinowitz: Numerical experiments in potential theory using orthonormal functions. J. Washington Acad. Sci.46, 12–17 (1956).
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Symm, G.T. Numerical mapping of exterior domains. Numer. Math. 10, 437–445 (1967). https://doi.org/10.1007/BF02162876
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DOI: https://doi.org/10.1007/BF02162876