代用電荷法による放射スリット領域への数値等角写像の方法 [in Japanese] Numerical Conformal Mapping onto the Radial Slit Domains by the Charge Simulation Method [in Japanese]
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A radial slit domain is the entire plane with slits along rectilinear lines pointing at the origin. In this paper, we present a simple numerical method for computing conformal maps from domains exterior to closed Jordan curves onto the radial slit domain. The mapping is important in problems of two-dimensional point-source flow with obstacles. The numerical method is based on the charge simulation method, in which conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials. It is shown that the method works well for some typical domains.
- Transactions of the Japan Society for Industrial and Applied Mathematics
Transactions of the Japan Society for Industrial and Applied Mathematics 5(3), 267-280, 1995
The Japan Society for Industrial and Applied Mathematics