지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국정보통신학회JICCE Journal of information and communication convergence engineering Journal of information and communication convergence engineering 제10권 제1호
- 발행연도
- 2012.3
- 수록면
- 66 - 70 (5page)
이용수
이 논문의 연구 히스토리 (3)
- 이 논문의 후속연구가 궁금하신가요?
- 연관 학술논문 또는 학술발표를 통해 보다 발전된 연구결과를 확인하실 수 있습니다.
- 이 논문의 연구 히스토리 확인하기
초록· 키워드
오류제보하기
Conformal mapping has been a familiar tool of science and engineering for generations. Determination of a conformal map from the unit disk onto the Jordan region is reduced to solving the Theodorsen equation, which is an integral equation for boundary correspondence functions. There are many methods for solving the Theodorsen equation. It is the goal of numerical conformal mapping to find methods that are at once fast, accurate, and reliable. In this paper, we analyze Niethammer’s solution based on successive over-relaxation (SOR) iteration and Wegmann’s solution based on Newton iteration, and compare them to determine which one is more effective. Through several numerical experiments with these two methods, we can see that Niethammer’s method is more effective than Wegmann’s when the degree of the problem is low and Wegmann’s method is more effective than Niethammer’s when the degree of the problem is high.
목차
Abstract
Ⅰ. INTRODUCTION
Ⅱ. THEODORSEN EQUATION
Ⅲ. NUMERICAL SOLUTIONS
Ⅳ. NUMERICAL EXPERIMNETS
Ⅴ. CONCLUSIONS
REFERENCES
참고문헌 (8)
참고문헌 신청
1. [학술지(정기간행물)] - M. H. Gutknecht / 1986 / Numerical conformal mapping methods based on function conjugation / Journal of Computational and Applied Mathematics 14 (1-2) : 31 ~ 77
2. [학술지(정기간행물)] - M. H. Gutknecht / 1981 / Solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods / Numerische Mathematik 36 (4) : 405 ~ 429
3. [학술지(정기간행물)] - M. H. Gutknecht / 1979 / Fast algorithm for the conjugate periodic function / Computing 22 (1) : 79 ~ 91
4. [학술지(정기간행물)] - R. Wegmann / 1986 / An iterative method for conformal mapping / Journal of Computational Applied Mathematics 14 (1-2) : 7 ~ 18
5. [학술지(정기간행물)] - R. Wegmann / 1990 / Discretized versions of Newton type iterative methods for conformal mapping / Journal of Computational Applied Mathematics 29 (2) : 207 ~ 224
2. [학술지(정기간행물)] - M. H. Gutknecht / 1981 / Solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods / Numerische Mathematik 36 (4) : 405 ~ 429
3. [학술지(정기간행물)] - M. H. Gutknecht / 1979 / Fast algorithm for the conjugate periodic function / Computing 22 (1) : 79 ~ 91
4. [학술지(정기간행물)] - R. Wegmann / 1986 / An iterative method for conformal mapping / Journal of Computational Applied Mathematics 14 (1-2) : 7 ~ 18
5. [학술지(정기간행물)] - R. Wegmann / 1990 / Discretized versions of Newton type iterative methods for conformal mapping / Journal of Computational Applied Mathematics 29 (2) : 207 ~ 224
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2023-004-000411496