5 citations · 5 across the 6 of their papers we have counts for
6 papers
Generalized solutions to hyperbolic systems with random field coefficients
Jelena Karakašević, Michael Oberguggenberger, Martin Schwarz
The paper addresses linear hyperbolic systems in one space dimension with random field coefficients. In many applications, a low degree of regularity of the paths of the coefficien…
Transport in Stochastic Goupillaud Media
Michael Oberguggenberger, Martin Schwarz
The paper addresses one-dimensional transport in a Goupillaud medium (a layered medium in which the layer thickness is proportional to the propagation speed), as a prototypical cas…
Wave propagation in random media, parameter estimation and damage detection via stochastic Fourier integral operators
Michael Oberguggenberger, Martin Schwarz
This paper presents a new approach to modelling wave propagation in random, linearly elastic materials, namely by means of Fourier integral operators (FIOs). The FIO representation…
Deterministic and stochastic damage detection via dynamic response analysis
Michael Oberguggenberger, Martin Schwarz
The paper proposes a method of damage detection in elastic materials, which is based on analyzing the time-dependent (dynamic) response of the material excited by an acoustic signa…
On the Measurability of Stochastic Fourier Integral Operators
Michael Oberguggenberger, Martin Schwarz
This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously…
Transport in a stochastic Goupillaud medium
Florian Baumgartner, Michael Oberguggenberger, Martin Schwarz
This paper is part of a project that aims at modelling wave propagation in random media by means of Fourier integral operators. A partial aspect is addressed here, namely explicit…