Zheng Zhi-qiang. An Approximate Method on the Conformal Mapping from a Unit Circle to an Arbitrary Curve[J]. Applied Mathematics and Mechanics, 1992, 13(5): 449-457.
 Citation: Zheng Zhi-qiang. An Approximate Method on the Conformal Mapping from a Unit Circle to an Arbitrary Curve[J]. Applied Mathematics and Mechanics, 1992, 13(5): 449-457.

# An Approximate Method on the Conformal Mapping from a Unit Circle to an Arbitrary Curve

• Publish Date: 1992-05-15
• In this paper, the conformal mapping problem on the transformation from the interior of a unit circle to the interior of the simply connected region or exterior with an arbitrary curvilinear boundary (including an arbitrary curvilinear cut crack) is discussed.The boundary of the simply connected region is approximated by a polygon.The mapping function from a unit circle to a polygon is founded by using the Schwartz-Christoffel integral.A numerical calculation method to determine the unknown parameters in the Schwartz-Christoffel integral is given.
•  [1] 樊大钧编.《数学弹性力学》.新时代出版汪(1983),274-279 [2] 格.列.伦兹等著,熊振翔等译,《复变函数与运算微积初步》,人民教育出版社(1960),181~184 [3] 伊.伊.普里瓦洛夫等,《复变函数引论》,闵嗣鹤等译,人民教育出版社(1950),433,444

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