Boundary element methods for acoustic scattering by fractal screens

We study boundary element methods for time-harmonic scattering in R n ( n = 2 , 3 ) by a fractal planar screen, assumed to be a non-empty bounded subset Γ of the hyperplane Γ ∞ = R n - 1 × { 0 } . We consider two distinct cases: (i) Γ is a relatively open subset of Γ ∞ with fractal boundary (e.g. th...

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Vydané v:	Numerische Mathematik Ročník 147; číslo 4; s. 785 - 837
Hlavní autori:	Chandler-Wilde, Simon N., Hewett, David P., Moiola, Andrea, Besson, Jeanne
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021 Springer Nature B.V
Predmet:	Acoustic scattering Boundary element method Boundary integral method Convergence Finite element method Fractals Hyperplanes 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 Scattering Screens Simulation Theoretical 78A45 Diffraction scattering 65N38 Boundary element methods for boundary value problems involving PDEs 28A80 Fractals 65R20 Numerical methods for integral equations 78M15 Boundary element methods applied to problems in optics and electromagnetic theory
ISSN:	0029-599X, 0945-3245
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