Full low-frequency asymptotics for the reduced wave equation

DOI10.1016/S0893-9659(98)00137-2zbMath0933.35048OpenAlexW2001018970MaRDI QIDQ1809032

Habib Ammari, Jean-Claude Nédélec

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00137-2

zbMATH Keywords

asymptotic expansionsHelmholtz equationexterior boundary value problemsnonsmooth boundariesnonsmooth variable coefficients

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ A memory saving fast A-EFIE solver for modeling low-frequency large-scale problems ⋮ An algebraic calculation method for the acoustic low frequency expansion ⋮ An algebraic formula for the accelerated computation of the low frequency scattering coefficients: the case of the acoustically soft sphere ⋮ Propagation of electromagnetic waves with low frequency

Cites Work

• Exact low frequency analysis for a class of exterior boundary value problems for the reduced wave equation in two dimensions
• Propagation of electromagnetic waves with low frequency
• Exterior dirichlet problem for the reduced wave equation: asymptotic analysis of low frequencies
• Zur Asymptotik der wellengleichung und der wärmeleitungsgleichung in zweidimensionalen außenräumen
• Low frequency asymptotics for the reduced wave equation in two‐dimensional exterior spaces
• Full low‐frequency asymptotic expansion for second‐order elliptic equations in two dimensions
• Low-Frequency Electromagnetic Scattering

This page was built for publication: Full low-frequency asymptotics for the reduced wave equation