Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for
Acoustic Scattering
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for
Acoustic Scattering
We consider frequency-domain acoustic scattering at a homogeneous star-shaped penetrable obstacle, whose shape is uncertain and modelled via a radial spectral parameterization with random coefficients. Using recent results on the stability of Helmholtz transmission problems with piecewise constant coefficients from [A. Moiola and E. A. Spence, Acoustic transmission problems: wavenumber-explicit …