Engineering and Physical Sciences Research Council (EP/K000012/1)https://arxiv.org/abs/1903.0444

Chandler-Wilde, S

Gibbs, A

Langdon, S

Moiola, A

IMA Journal of Numerical Analysis

arXiv

We propose a boundary element method for problems of time-harmonic acoustic scattering by multiple obstacles in two dimensions, at least one of which is a convex polygon. By combining a Hybrid Numerical Asymptotic (HNA) approximation space on the convex polygon with standard polynomial-based approximation spaces on each of the other obstacles, we show that the number of degrees of freedom required in the HNA space to maintain a given accuracy needs to grow only logarithmically with respect to the frequency, as opposed to the (at least) linear growth required by standard polynomial-based schemes. This method is thus most effective when the convex polygon is many wavelengths in diameter and the small obstacles have a combined perimeter comparable to the problem wavelength

Gibbs, Andrew

Chandler-Wilde, Simon N.

Langdon, Stephen

Moiola, Andrea

Central Archive at the University of Reading

A high frequency boundary element method for scattering by a class of multiple obstacles

Engineering and Physical Sciences Research Council (EP/K000012/1

Brunel University Research Archive

Andrew Gibbs

Simon N Chandler-Wilde

Stephen Langdon

Andrea Moiola

Archivio Istituzionale della Ricerca - Università degli Studi di Pavia

A high-frequency boundary element method for scattering by a class of multiple obstacles

A high frequency boundary element method for scattering by a class of multiple obstacles

Abstract

Similar works

Full text

Available Versions

Central Archive at the University of Reading

Brunel University Research Archive

Archivio Istituzionale della Ricerca - Università degli Studi di Pavia