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- W3022389047 abstract "This chapter describes conformal mappings applicable to Laplace's equation in two dimensions. It yields a reformulation of the original problem. Laplace's equation in two dimensions with a given boundary can be transformed to Laplace's equation with a different boundary by a conformal map. The idea is to choose the conformal map in such a way that the new boundary makes the problem easy to solve. In this method, for Laplace's equation in the variables {x,y} the complex variable z = x + iy is defined, where i = √−1. All of the boundaries of the original problem can now be described by values of z. The chapter highlights that a commonly used conformal map is the Schwartz–Christoffel transformation. This maps a closed polygonal figure into a half plane." @default.
- W3022389047 created "2020-05-13" @default.
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- W3022389047 date "1992-01-01" @default.
- W3022389047 modified "2023-09-23" @default.
- W3022389047 title "Conformal Mappings" @default.
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- W3022389047 doi "https://doi.org/10.1016/b978-0-12-784391-9.50101-9" @default.
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