Zobrazeno 1 - 10
of 777
pro vyhledávání: '"GIBBS, ANDREW"'
We consider the numerical evaluation of a class of double integrals with respect to a pair of self-similar measures over a self-similar fractal set (the attractor of an iterated function system), with a weakly singular integrand of logarithmic or alg
Externí odkaz:
http://arxiv.org/abs/2303.13141
Autor:
Caetano, António M., Chandler-Wilde, Simon N., Gibbs, Andrew, Hewett, David P., Moiola, Andrea
Publikováno v:
Numer. Math., 156, 2024, 463-532
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 s
Externí odkaz:
http://arxiv.org/abs/2212.06594
Publikováno v:
In Social Science & Medicine September 2024 356
Autor:
Brown, Laura J., Reddy, Tarylee, Mannell, Jenevieve, Burgess, Rochelle, Shai, Nwabisa, Washington, Laura, Jewkes, Rachel, Gibbs, Andrew
Publikováno v:
In SSM - Mental Health 15 December 2023 4
We present a hybrid numerical-asymptotic (HNA) boundary element method (BEM) for high frequency scattering by two-dimensional screens and apertures, whose computational cost to achieve any prescribed accuracy remains bounded with increasing frequency
Externí odkaz:
http://arxiv.org/abs/1912.09916
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 con
Externí odkaz:
http://arxiv.org/abs/1903.04449
Publikováno v:
In Social Science & Medicine February 2023 318
Autor:
Gibbs, Andrew James
For problems of time harmonic wave scattering, standard numerical methods (using piecewise polynomial approximation spaces) require the computational cost to grow with the frequency of the problem, in order to maintain a fixed accuracy. This can make
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729348
For problems of time-harmonic scattering by polygonal obstacles, embedding formulae provide a useful means of computing the far-field coefficient induced by any incident plane wave, given the far-field coefficient of a relatively small set of canonic
Externí odkaz:
http://arxiv.org/abs/1805.08988