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math.AP2017
Fundamental models in nonlinear acoustics part I. Analytical comparison
Barbara Kaltenbacher, Mechthild Thalhammer
This work is concerned with the study of fundamental models from nonlinear acoustics. In Part~I, a hierarchy of nonlinear damped wave equations arising in the description of sound…
math.NA2017
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space
Barbara Kaltenbacher, Mario Luiz Previatti de Souza
In this paper we consider the Iteratively Regularized Gauss-Newton Method (IRGNM) in its classical Tikhonov version and in an Ivanov type version, where regularization is achieved…