An evolutionary newton method for shape reconstruction

Journal of Integral Equations and Applications

Volumn 19, Issue 3, 2007, Pages 261-287

  Eckel, Harry ^a   Potthast, Roland ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947414368     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1190905487     Document Type: Article

References (18)

1. D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, second edition, Appl. Math. Sci. 93, Springer-Verlag, Berlin, 1998.
2. D. Colton and R. Kress, Integral equation methods in scattering theory, Pure Appl. Math., John Wiley & Sons Inc., New York, 1983.
3. O. Dorn, E.L. Miller and C.M. Rappaport, A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets, Inverse Prob. 16 (2000), 1119-1156.
4. H.W. Engl, M. Hanke and A. Neubauer, Regularization of inverse problems, Math. Appl. 375, Kluwer Academic Publishers, Dordrecht, 1996.
5. L.J. Fogel, A.J. Owens and M.J. Walsh, Artificial intelligence through simulated evolution, John Wiley, New York, 1966.
6. W.D. Hillis, Co-evolving parasites improve simulated evolution as an optimization procedure, Articial Life II, 10 (1991), 313-324.
7. T. Hohage, Convergence rates of a regularized Newton method in sound-hard inverse scattering, SIAM J. Numer. Anal. 36 (1999), 125-142 (electronic).
8. T. Hohage, Iterative methods in inverse obstacle scattering: regularization theory of linear and nonlinear exponentially illposed problems, PhD thesis, Linz, 1999.
9. J.H. Holland, Adaptation in natural and artificial systems, The University of Michigan Press, Ann Arbor, 1975.
10. J.R. Koza, Genetic programming: On the programming of computers by means of natural selection, MIT Press, Cambridge, 1992.
11. H. Pohlheim, Evolutionäre Algorithmen Verfahren, Operatoren, Hinweise aus der Praxis, Springer, Berlin, 1999.
12. R. Potthast, A fast new method to solve inverse scattering problems, Inverse Prob. 12 (1996), 731-742.
13. R. Potthast, A point source method for inverse acoustic and electromagnetic obstacle scattering problems, IMA J. Appl. Math. 61 (1998), 119-140.
14. R. Potthast, On the convergence of a new Newton-type method in inverse scattering, Inverse Prob. 17 (2001), 1419-1434.
15. R. Potthast, Point sources and multipoles in inverse scattering theory, Chapman & Hall/CRC Research Notes Math. 427, Chapman & Hall/CRC, Boca Raton, Florida, 2001.
16. R. Potthast, A survey on sampling and probe methods for inverse problems, Inverse Problems, Topical Review, 2006.
17. I. Rechenberg, Evolutionsstrategie Optimierung technischer Systeme nach Prinzipien der biologischen Evolution, Frommann-Holzboog, Stuttgart, 1973.
18. H.-P. Schwefel, Evolutionsstrategie und numerische Optimierung, PhD thesis, Technische Universität Berlin, 1975.