Thorsten Hohage,
"A Newton-type method for a transmission problem in inverse scattering"
, in Inverse Problems, 1998, T. Hohage and C. Schorman, A Newton-type method for a
transmission problem in inverse scattering, Inverse Problems 14 (1998), 1207-1227
Original Titel:
A Newton-type method for a transmission problem in inverse scattering
Sprache des Titels:
Englisch
Englische Kurzfassung:
The iteratively regularized Gauß-Newton method is applied to solve an inverse transmission problem for the Helmholtz equation, which is known to be nonlinear and severely ill-posed. We first present a simplified proof of the characterization of the Frechet derivative. Based on this result, we describe an efficient numerical implementation including an error analysis. Finally, we investigate the speed of convergence of the Newton iteration both for exact and for noisy data.
Journal:
Inverse Problems
Erscheinungsjahr:
1998
Notiz zum Zitat:
T. Hohage and C. Schorman, A Newton-type method for a
transmission problem in inverse scattering, Inverse Problems 14 (1998), 1207-1227
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift