Zobrazeno 1 - 10
of 764
pro vyhledávání: '"Hewett, David"'
Autor:
Delourme, Bérangère, Hewett, David P.
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 7, Pp 777-784 (2020)
In this note we consider the scattering of electromagnetic waves (governed by the time-harmonic Maxwell equations) by a thin periodic layer of perfectly conducting obstacles. The size of the obstacles and the distance between neighbouring obstacles a
Externí odkaz:
https://doaj.org/article/39b344a759d5458ba53e82fdd3df2d31
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
Autor:
Kleanthous, Antigoni, Betcke, Timo, Hewett, David P., Escapil-Inchauspé, Paul, Jerez-Hanckes, Carlos, Baran, Anthony J.
We investigate a range of techniques for the acceleration of Calder\'on (operator) preconditioning in the context of boundary integral equation methods for electromagnetic transmission problems. Our objective is to mitigate as far as possible the hig
Externí odkaz:
http://arxiv.org/abs/2008.04772
Autor:
Kleanthous, Antigoni, Baran, Anthony J., Betcke, Timo, Hewett, David P., Westbrook, Christopher D.
Publikováno v:
In Journal of Quantitative Spectroscopy and Radiative Transfer January 2024 312
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
Publikováno v:
Numer. Math., 147, 2021, 785-837
We study boundary element methods for time-harmonic scattering in $\mathbb{R}^n$ ($n=2,3$) by a fractal planar screen, assumed to be a non-empty bounded subset $\Gamma$ of the hyperplane $\Gamma_\infty=\mathbb{R}^{n-1}\times \{0\}$. We consider two d
Externí odkaz:
http://arxiv.org/abs/1909.05547
Publikováno v:
J. Funct. Anal., 281(3), 2021, 109019
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets. Our main results, stated in the simplest Sobolev space setting, are that: (i) for an open set $\Omega\subset\mathbb R^n$, $\mathcal{D}(\Omega)$ is den
Externí odkaz:
http://arxiv.org/abs/1904.05420
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer 224, 2019, 383-395
We consider the simulation of electromagnetic scattering by single and multiple isotropic homogeneous dielectric particles using boundary integral equations. Galerkin discretizations of the classical Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) bo
Externí odkaz:
http://arxiv.org/abs/1808.10539
Autor:
Delourme, Bérangère, Hewett, David P.
In this note we consider the scattering of electromagnetic waves (governed by the time-harmonic Maxwell equations) by a thin periodic layer of perfectly conducting obstacles. The size of the obstacles and the distance between neighbouring obstacles a
Externí odkaz:
http://arxiv.org/abs/1806.10433