Frequency-Explicit Shape Uncertainty Quantification for Acoustic Scattering

Ralf Hiptmair (ETH Zürich)

Jun 17. 2022, 14:45 — 15:30

 We consider frequency-domain acoustic scattering at a homogeneous star-shaped penetrable
  object, whose shape is uncertain and modeled via a radial spectral parameterization with
  random coefficients. We exploit 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 bounds and
    resonance-free regions, Mathematical Models and Methods in Applied Sciences, 29
  (2019), pp.~317--354] to obtain frequency-explicit statements on the holomorphic
  dependence of the scattered field and the far-field pattern on the stochastic
  parameters. This paves the way for applying general results on the efficient
  construction of high-dimensional surrogate models. In addition, frequency-explicit
  spatial regularity estimates permit us to quantify the impact of Galerkin
  discretization using low-order Lagrangian finite-element spaces.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Computational Uncertainty Quantification: Mathematical Foundations, Methodology & Data (Thematic Programme)
Organizer(s):
Clemens Heitzinger (TU Vienna)
Fabio Nobile (EPFL Lausanne)
Robert Scheichl (U Heidelberg)
Christoph Schwab (ETH Zürich)
Sara van de Geer (ETH Zürich)
Karen Willcox (U of Texas, Austin)