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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국정보통신학회JICCE Journal of information and communication convergence engineering Journal of information and communication convergence engineering 제8권 제3호
- 발행연도
- 2010.6
- 수록면
- 312 - 316 (5page)
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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.
목차
Abstract
I. INTRODUCTION
II. WEGMANN’S ITERATIVE METHOD
III. IMPLEMENTATION OF WEGMANN’S ITERATION
IV. ALGORITHM
V. EXAMPLES
VI. CONCLUSIONS
REFERENCES
참고문헌 (9)
참고문헌 신청
1. [학술지(정기간행물)] - Gutknecht, M.H. / 1986 / Numerical conformal Mapping Methods Based on Function Conjugation / J. Comput. Appl. Math. 14 (1) : 31 ~ 77
2. [학술지(정기간행물)] - Wegmann R. / 1986 / An iterative method for conformal mapping / J. Comput. Appl. Math. 14 : 7 ~ 18
3. [학술지(정기간행물)] - Wegmann R. / 1990 / Discretized versions of Newton type iterative methods for conformal mapping / J. Comput. Appl. Math. 29 (2) : 207 ~ 224
4. [학술지(정기간행물)] - Eunjee Song / 2001 / A Study on Improvement of Wegmann’s method by Low Frequency pass Filter / The KIPS: Part A 8A (4) : 503 ~ 508
5. [학술지(정기간행물)] - 송은지 / 2004 / 저주파필터를 적용한 Wegmann방법의 수렴성에 관한 연구 / 정보처리학회논문지A 11 (2) : 203 ~ 206
2. [학술지(정기간행물)] - Wegmann R. / 1986 / An iterative method for conformal mapping / J. Comput. Appl. Math. 14 : 7 ~ 18
3. [학술지(정기간행물)] - Wegmann R. / 1990 / Discretized versions of Newton type iterative methods for conformal mapping / J. Comput. Appl. Math. 29 (2) : 207 ~ 224
4. [학술지(정기간행물)] - Eunjee Song / 2001 / A Study on Improvement of Wegmann’s method by Low Frequency pass Filter / The KIPS: Part A 8A (4) : 503 ~ 508
5. [학술지(정기간행물)] - 송은지 / 2004 / 저주파필터를 적용한 Wegmann방법의 수렴성에 관한 연구 / 정보처리학회논문지A 11 (2) : 203 ~ 206
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UCI(KEPA) : I410-ECN-0101-2023-004-000409156