Local solutions to high-frequency 2D scattering problems
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Publication:982993
DOI10.1016/j.jcp.2010.03.034zbMath1196.65181OpenAlexW1985526385WikidataQ117717458 ScholiaQ117717458MaRDI QIDQ982993
Andreas Asheim, Daan Huybrechs
Publication date: 28 July 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.03.034
numerical examplesHelmholtz equationboundary layersintegral equation methodscattering problemFilon-type quadrature
Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (12)
Efficient algorithms for integrals with highly oscillatory Hankel kernels ⋮ An adaptive Filon-type method for oscillatory integrals without stationary points ⋮ Asymptotic analysis of numerical steepest descent with path approximations ⋮ Shadow boundary effects in hybrid numerical-asymptotic methods for high-frequency scattering ⋮ Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels ⋮ New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities ⋮ Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels ⋮ A remedy for the failure of the numerical steepest descent method on a class of oscillatory integrals ⋮ On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation ⋮ A combined Filon/asymptotic quadrature method for highly oscillatory problems ⋮ On fast multipole methods for Volterra integral equations with highly oscillatory kernels ⋮ Efficient collocation methods for Volterra integral equations with highly oscillatory kernel
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