Automatic algorithm for Numerical conformal mapping based on the Hiibner's Method


The Transactions of the Korea Information Processing Society (1994 ~ 2000), Vol. 6, No. 10, pp. 2716-2721, Oct. 1999
10.3745/KIPSTE.1999.6.10.2716,   PDF Download:

Abstract

The problem of determining the conformal maps from unit disk onto a Jordar, region has been completed by solving the Theodorsen equation that is nonlinear. For the H?bner's method, which has been well known for the efficient method among the many suggestions for the Theodorsen equation, it has been proved in our early study that the convergence rate could be remarkably improved by exploring and applying a low-frequency pass filter[1]. However, in the H?bner's method with the low-frequency filter, the discrete numbers and parameters of the low-frequency filter were able to be acquired only by experience. In this paper we show algorithms that determine the discrete numbers and parameters of the low-frequency filter automatically in accordance with the given region. This results from analyzing the function, which decides the shape of the given domain under the assumption that the degree of the problem depends of the transformation of a given domain, as seen in the Fourier Transform.


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Cite this article
[IEEE Style]
S. E. Jee, "Automatic algorithm for Numerical conformal mapping based on the Hiibner's Method," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 6, no. 10, pp. 2716-2721, 1999. DOI: 10.3745/KIPSTE.1999.6.10.2716.

[ACM Style]
Song Eun Jee. 1999. Automatic algorithm for Numerical conformal mapping based on the Hiibner's Method. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 6, 10, (1999), 2716-2721. DOI: 10.3745/KIPSTE.1999.6.10.2716.