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Rapid computation of far-field statistics for random obstacle scattering

Harbrecht, Helmut and Ilić, Nikola and Multerer, Michael D.. (2019) Rapid computation of far-field statistics for random obstacle scattering. Engineering analysis with boundary elements, 101. pp. 243-251.

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Official URL: https://edoc.unibas.ch/69011/

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Abstract

In this article, we consider the numerical approximation of far-field statistics for acoustic scattering problems in the case of random obstacles. In particular, we consider the computation of the expected far-field pattern and the expected scattered wave away from the scatterer as well as the computation of the corresponding variances. To that end, we introduce an artificial interface, which almost surely contains all realizations of the random scatterer. At this interface, we directly approximate the second order statistics, i.e., the expectation and the variance, of the Cauchy data by means of boundary integral equations. From these quantities, 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 employing a low-rank approximation of the Cauchy data's two-point correlation function, we drastically reduce the cost of the computation of the scattered wave's variance. Numerical results are provided in order to demonstrate the feasibility of the proposed approach.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
UniBasel Contributors:Harbrecht, Helmut and Ilic, Nikola
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Elsevier
ISSN:0955-7997
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Last Modified:26 Feb 2019 13:16
Deposited On:26 Feb 2019 13:13

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