A high-frequency boundary element method for scattering by a class of multiple obstacles

DOI10.1093/imanum/draa025OpenAlexW4237983055MaRDI QIDQ5077028

A. Gibbs, Simon N. Chandler-Wilde, Stephen Langdon, Andrea Moiola

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04449

zbMATH Keywords

integral equationsmultiple scatteringHelmholtzBEMhigh frequency\(hp\) discretizationHNA method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave scattering in solid mechanics (74J20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hydro- and aero-acoustics (76Q05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical quadrature and cubature formulas (65D32) Waves and radiation in optics and electromagnetic theory (78A40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

On a Hybrid Approach for Recovering Multiple Obstacles ⋮ An efficient iterative method for solving multiple scattering in locally inhomogeneous media ⋮ Galerkin boundary element methods for high-frequency multiple-scattering problems ⋮ A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency ⋮ High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem

This page was built for publication: A high-frequency boundary element method for scattering by a class of multiple obstacles