The Helmholtz equation with impedance in a half-plane

DOI10.1016/j.crma.2005.02.015zbMath1117.35020OpenAlexW4249066029MaRDI QIDQ1773337

Jean-Claude Nédélec, Ignacio Muga, Mario Durán

Publication date: 28 April 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/176337

zbMATH Keywords

time-harmonic wavemixed Dirichlet-Neumann problemmarine hydraulicstwo-dimensional sea-coast model

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Incompressible inviscid fluids (76B99)

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The inverse Robin boundary value problem in a half-space ⋮ Solving a scattering problem in near field optics by a least-squares method ⋮ Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium ⋮ Existence, uniqueness and explicit bounds for acoustic scattering by an infinite Lipschitz boundary with an impedance condition ⋮ Computing numerically the Green's function of the half-plane Helmholtz operator with impedance boundary conditions ⋮ Inverse acoustic scattering problem in half-space with anisotropic random impedance ⋮ The Helmholtz equation with impedance in a half-space

Cites Work

• The Neumann problem in the half-space
• Existence, uniqueness and analyticity properties for electromagnetic scattering in a two-layered medium
• The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
• An introduction to semiclassical and microlocal analysis
• Unnamed Item

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