A Hausdorff-measure boundary element method for acoustic scattering by fractal screens

Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application of the boundary element method (BEM) where each BEM basis function is supported in a fractal set, and the integration inv...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 156; no. 2; pp. 463 - 532
Main Authors:	Caetano, A. M., Chandler-Wilde, S. N., Gibbs, A., Hewett, D. P., Moiola, A.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2024 Springer Nature B.V
Subjects:	Acoustic scattering Acoustic waves Acoustics Basis functions Boundary element method Boundary integral method Convergence Estimates Fractals Function space Integral equations Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Regularity Screens Simulation Theoretical 45A05 28A80 46E35 65R20 65N38
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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