A decomposition scheme for acoustic obstacle scattering in a multilayered medium

DOI10.1080/00036811.2011.640630zbMath1302.35286OpenAlexW2019068637WikidataQ58244974 ScholiaQ58244974MaRDI QIDQ4916352

Haibing Wang, Jijun Liu

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.640630

zbMATH Keywords

convergence analysisdecomposition methoditeration schememultilayered mediumacoustic wave scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Cites Work

• Dirichlet-to-Neumann boundary conditions for multiple scattering problems
• Nonreflecting boundary condition for time-dependent multiple scattering
• Generalized Foldy-Lax formulation
• A numerical method for transmission problems for the Helmholtz equation
• A perfectly matched layer for the absorption of electromagnetic waves
• Inverse acoustic and electromagnetic scattering theory.
• On nonreflecting boundary conditions
• Mixed boundary integral methods for Helmholtz transmission problems
• Existential Claims and Platonism
• A Two-Scale Multiple Scattering Problem
• Source splitting via the point source method
• On the Accuracy of the Numerical Detection of Complex Obstacles from Far Field Data Using the Probe Method
• Inverse scattering for an impedance cylinder buried in a dielectric cylinder
• Recovery of multiple obstacles by probe method
• Transmission problems for the Helmholtz equation
• STABILITY IN DISTRIBUTION OF NONLINEAR SYSTEMS WITH TIME-VARYING DELAYS AND SEMI-MARKOVIAN SWITCHING
• Direct and Inverse Obstacle Scattering Problems in a Piecewise Homogeneous Medium
• Reconstruction of the Shape and Surface Impedance from Acoustic Scattering Data for an Arbitrary Cylinder