JICCE (한국정보통신학회)
Current Result Document :
| 한글제목(Korean Title) |
A Study on the Effective Algorithm by Fourier Transform for Numerical Conformal Mapping |
| 영문제목(English Title) |
A Study on the Effective Algorithm by Fourier Transform for Numerical Conformal Mapping |
| 저자(Author) |
Eun-Jee Song
|
| 원문수록처(Citation) |
VOL 08 NO. 03 PP. 0312 ~ 0316 (2010. 06) |
한글내용
(Korean Abstract) |
|
영문내용
(English Abstract) |
Conformal mapping has been a familiar tool of science and engineering for generations. The methods of numerical mapping are usually classified into those which construct the map from standard domain such as the unit disk onto the ‘problem domain’, and those which construct the map in the reverse direction. We treat numerical conformal mapping from the unit disk onto the Jordan regions as the problem domain in this paper. The traditional standard methods of this type are based on Theodorsen integral equation. Wegmann’s method is well known as a Newton-like efficient one for solving Theodorsen equation. An improved method for convergence by applying low frequency pass filter to the Wegmann’s method was proposed. In this paper we propose an effective algorithm for numerical conformal mapping based on the improved method. This algorithm is able to determine the discrete numbers and initial values automatically in accordance with the given region and the required accuracy. This results come from analyzing the shape of given domain as seen in the Fourier Transform. |
| 키워드(Keyword) |
Conformal mapping
Theodorsen equation
Wegmann’s merhod
Fourier Transform
Discrete number
|
| 파일첨부 |
PDF 다운로드
|
