Thorsten Hohage,
"Convergence rates of a regularized Newton method in sound-hard inverse scattering"
, in SIAM Journal on Numerical Analysis, 1998, T. Hohage, Convergence rates of a regularized Newton method in
sound-hard inverse scattering, SIAM J. Numer. Anal., 36 (1998),125-142
Original Titel:
Convergence rates of a regularized Newton method in sound-hard inverse scattering
Sprache des Titels:
Englisch
Englische Kurzfassung:
The iteratively regularized Gauß-Newton method is used to solve an inverse acoustic scattering problem with Neumann boundary conditions in two space dimension, which is known to be nonlinear and severely ill-posed. Some recent results on the speed of convergence for such problems are
considered, and numerical experiments yield logarithmic convergence rates, as expected. Moreover, we present an efficient method to numerically evaluate the Frechet derivative using its characterization as a boundary value
problem, and prove fast convergence of this method.
Journal:
SIAM Journal on Numerical Analysis
Erscheinungsjahr:
1998
Notiz zum Zitat:
T. Hohage, Convergence rates of a regularized Newton method in
sound-hard inverse scattering, SIAM J. Numer. Anal., 36 (1998),125-142