The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary

DOI10.1007/s00205-008-0135-3zbMath1156.35015OpenAlexW2170150962MaRDI QIDQ1000560

Mario Durán, Jean-Claude Nédélec, Ignacio Muga

Publication date: 9 February 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-008-0135-3

zbMATH Keywords

Green's functionHelmholtz equationradiation condition

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (16)

The inverse Robin boundary value problem in a half-space ⋮ Elastic scattering from rough surfaces in three dimensions ⋮ Half-plane diffraction problems on a triangular lattice ⋮ Inverse electromagnetic scattering for a locally perturbed perfectly conducting plate ⋮ Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm ⋮ Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition ⋮ Diffraction problems for two-dimensional lattice waves in a quadrant ⋮ An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media ⋮ On the existence of surface waves in an elastic half-space with impedance boundary conditions ⋮ A generalized Debye source approach to electromagnetic scattering in layered media ⋮ Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces ⋮ Scattering by a periodic tube in R3  : part i. The limiting absorption principle^* ⋮ Inverse acoustic scattering problem in half-space with anisotropic random impedance ⋮ A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem: The Neumann Case ⋮ The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition ⋮ Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary

Cites Work

• The Neumann problem in the half-space
• The Helmholtz equation with impedance in a half-space
• The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
• Inverse Scattering in a Half Space with Passive Boundary
• A boundary integral equation formulation for the Helmholtz equation in a locally perturbed half-plane
• The Helmholtz equation in a locally perturbed half-plane with passive boundary
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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