Numerical experiments on an ill-posed inverse problem for a given velocity around a hydrofoil by iterative and noniterative regularizations

Journal of Marine Science and Technology

Volumn 5, Issue 3, 2000, Pages 107-111

  Jang, Taek S ^a   Choi, Hang S ^b   Kinoshita, Takeshi ^a  

^a INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

^b Seoul National University   (South Korea)

Author keywords

Ill posed; Iterative and noniterative regularizations; Suitability

Indexed keywords

EID: 0034558719     PISSN: 09484280     EISSN: None     Source Type: Journal    
DOI: 10.1007/s007730070007     Document Type: Article

References (10)

1. Groetsch CW (1993) Inverse problems in the mathematical sciences. Vieweg, Wiesbaden
2. Kammerer WJ, Nashed MZ (1972) Iterative methods for best approximate solutions of integral equations of the first and second kinds. J Math Anal Appl 40:547-573
3. Jang TS, Kinoshita T (2000) An ill-posed inverse problem of the wing with locally given velocity data and its analysis. J Mar Sci Technol 5:16-20
4. Kirsch A (1996) An introduction to the mathematical theory of inverse problems. Springer, Berlin
5. Fridman V (1965) A method of successive approximations for Fredholm integral equations of the first kind. Uspeki mat Nauk 11:233-234
6. King JT, Chillingworth D (1979) Approximation of generalized inverses by iterated regularization. Numer Funct Anal Opim 1:499-513
7. Tikhonov AN (1963) Solution of incorrectly formulated problems and the regularization method. Sov Doklady 4:1035-1038
8. Neubauer A (1988) An a posteriori parameter choice for Tikhonov regularization in Hilbert scales to optimal convergence rates. SIAM J Numer Anal 25:1313-1326
9. Newman JN (1986) Marine Hydrodynamics. MIT Press, Cambridge
10. Morozov VA (1969) The error principle in the solution of operational equations by the regularization method. USSR Comput Math Math Phys 8:63-87