메뉴 건너뛰기




Volumn 45, Issue 4, 2001, Pages 459-481

A posteriori error estimates for the solution of nonlinear ill-posed operator equations

Author keywords

A posteriori error estimates; Nonlinear ill posed problems; Regularization methods; Two level methods

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; ESTIMATION; MATHEMATICAL OPERATORS;

EID: 0035427533     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00413-7     Document Type: Article
Times cited : (17)

References (36)
  • 16
    • 0000562192 scopus 로고
    • Regularization of nonlinear problems and the degree of ill-posedness
    • G. Anger et al. (Eds.), Inverse Problems: Principles and Applications in Geophysics, Technology, and Medicine, Akademie, Berlin, Potsdam, Germany, August 30-September 3, 1993
    • (1993) Proceedings of the International Conference , pp. 174-188
    • Hofmann, B.1
  • 20
    • 0000670255 scopus 로고    scopus 로고
    • Logarithmic convergence rates of the iteratively regularized Gauß-Newton method for an inverse potential and an inverse scattering problem
    • (1997) Inverse Probl. , vol.13 , pp. 1279-1300
    • Hohage, T.1
  • 21
    • 0004893513 scopus 로고    scopus 로고
    • Convergence rates of a regularized Newton method in sound-hard inverse scattering
    • (1999) SIAM Numer. Anal. , vol.36 , pp. 125-142
    • Hohage, T.1
  • 28
    • 0001535563 scopus 로고    scopus 로고
    • Convergence of regularized solutions of nonlinear ill-posed problems with monotone operators
    • P. Marcellini et al. (Eds.), Partial Differential Equations and Applications, Collected papers in honor of Carlo Pucci on the Occasion of his 70th birthday, Marcel Dekker, New York
    • (1996) Lecture Notes of Pure and Applied Mathametics , vol.177 , pp. 353-361
    • Liu, F.1    Nashed, M.Z.2
  • 29
    • 0001310721 scopus 로고    scopus 로고
    • On nonlinear ill-posed problems II: Monotone operator equations and monotone variational inequalities
    • A.G. Kartsatos (Eds.), Marcel Dekker, New York. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type
    • (1996) Lecture Notes of Pure and Applied Mathematics , vol.178 , pp. 223-240
    • Liu, F.1    Nashed, M.Z.2
  • 30
    • 0001425652 scopus 로고
    • Tikhonov regularization for non-linear ill-posed problems: Optimal convergence rates and finite-dimensional approximation
    • (1989) Inverse Probl. , vol.5 , pp. 541-557
    • Neubauer, A.1
  • 31
    • 21244484291 scopus 로고
    • On converse and saturation results for regularization methods
    • E. Schock (Ed.), Beitraege zur Angewandten Analysis und Informatik, Helmut Brakhage zu Ehren, Shaker Verlag, Aachen, Berichte aus der Mathematik
    • (1994) , pp. 262-270
    • Neubauer, A.1
  • 32
    • 0004865563 scopus 로고    scopus 로고
    • On converse and saturation results for Tikhonov regularization of linear ill-posed problems
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 517-527
    • Neubauer, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.