Acoustic scattering in case of random obstacles

Harbrecht, Helmut and Ilić, Nikola and Multerer, Michael D.. (2018) Acoustic scattering in case of random obstacles. Preprints Fachbereich Mathematik, 2018 (12).


Official URL: https://edoc.unibas.ch/70079/

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In this article, we deal with the numerical solution of acoustic scattering problems in case of random obstacles. We compute the second order statistics, i.e. the expectation and the variance, of the solution's Cauchy data on an artificial, deterministic interface by means of boundary integral equations. As a consequence, we are able to rapidly evaluate statistics of the scattered wave everywhere in the exterior domain, including the expectation and the variance of the far-field. By using a low-rank approximation of the Cauchy data's two-point correlation function, the cost of the computation of the scattered wave’s variance is drastically reduced. Numerical results are given to demonstrate the feasibility of the proposed approach.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Harbrecht, Helmut and Ilic, Nikola
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:27 May 2020 09:29
Deposited On:11 Apr 2019 15:20

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