Boundary integral equation methods for the scattering problem by an unbounded sound soft rough surface with tapered wave incidence

DOI10.1016/j.cam.2014.08.026zbMath1310.76111OpenAlexW2086871055WikidataQ57664948 ScholiaQ57664948MaRDI QIDQ464631

Fuming Ma, Lei Zhang

Publication date: 28 October 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.08.026

zbMATH Keywords

convergence analysiscollocation methodHelmholtz equationintegral equation methodunbounded rough surfacetapered wave incidence

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

The PML method to solve a class of potential scattering problem with tapered wave incidence ⋮ A Stable Node-Based Smoothed Finite Element Method with Transparent Boundary Conditions for the Elastic Wave Scattering by Obstacles ⋮ Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method ⋮ Another approach to rough soft hemirings and corresponding decision making ⋮ Uniqueness Results for Scattering and Inverse Scattering by Infinite Rough Surfaces with Tapered Wave Incidence ⋮ Multi-parameter identification and shape reconstruction for unbounded fractal rough surfaces with tapered wave incidence

Cites Work

• Unnamed Item
• Unnamed Item
• Regularized conjugate gradient method with fast multipole acceleration for wave scattering from 1D fractal rough surface
• Analysis of the electromagnetic scattering from a cavity.
• The mathematics of scattering by unbounded, rough, inhomogeneous layers
• On angular-spectrum representations for scattering by infinite rough surfaces
• Numerical simulation methods for rough surface scattering
• On radiation conditions for rough surface scattering problems
• A well-posed integral equation formulation for three-dimensional rough surface scattering
• A Uniqueness Result for Scattering by Infinite Rough Surfaces
• On the derivation of boundary integral equations for scattering by an infinite two-dimensional rough surface
• Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
• Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
• Integral equation methods for scattering by infinite rough surfaces
• Variational Approach in Weighted Sobolev Spaces to Scattering by Unbounded Rough Surfaces
• Acoustic Scattering by Mildly Rough Unbounded Surfaces in Three Dimensions
• Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces
• An introduction to the mathematical theory of inverse problems

This page was built for publication: Boundary integral equation methods for the scattering problem by an unbounded sound soft rough surface with tapered wave incidence