An alternative to Dirichlet-to-Neumann maps for waveguides

DOI10.1016/j.crma.2011.08.006zbMath1259.78025OpenAlexW2065649491MaRDI QIDQ640906

Anne-Sophie Bonnet-Ben Dhia, Guillaume Legendre

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.006

zbMATH Keywords

Dirichlet-to-Neumann operatorsradiation condition

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (4)

Acoustic passive cloaking using thin outer resonators ⋮ Acoustic waveguide with a dissipative inclusion ⋮ Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides ⋮ On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves

Cites Work

• Guided elastic waves and perfectly matched layers
• Transparent boundary conditions for the harmonic diffraction problem in an elastic waveguide
• Dirichlet-to-Neumann maps for unbounded wave guides
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• Perfectly Matched Layers for the Convected Helmholtz Equation

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