Regularized Combined Field Integral Equations for Acoustic Transmission Problems

DOI10.1137/140964230zbMath1329.65289arXiv1312.6598OpenAlexW1552756266MaRDI QIDQ5254916

Catalin Turc, David P. Levadoux, Víctor Domínguez, Yassine Boubendir

Publication date: 11 June 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6598

zbMATH Keywords

transmission problemsDirichlet-to-Neumann operatorsregularizing operatorscombined field integral equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (47G10) Boundary element methods for boundary value problems involving PDEs (65N38) Linear integral equations (45A05)

Related Items (8)

A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons ⋮ A well-conditioned boundary integral equation for transmission problems of electromagnetism ⋮ Electromagnetic modeling of high magnetic contrast media using Calderón preconditioning ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions ⋮ Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator ⋮ The Costabel-Stephan system of boundary integral equations in the time domain ⋮ High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem

Cites Work

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