Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide

DOI10.1137/120864052zbMath1312.76057OpenAlexW2090515334MaRDI QIDQ4907751

Dimitrios A. Mitsoudis, Michael Plexousakis, Charalambos G. Makridakis

Publication date: 22 February 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/96cddfccc3116cdd6974c26930c89118e046d51f

zbMATH Keywords

variational problemwell-posednessGalerkin finite element approximationnonlocal Dirichlet-to-Neumann boundary conditions

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Investigation of wave processes in inhomogeneous media with imperfect contact conditions ⋮ Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain ⋮ Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides ⋮ Sharp Wavenumber-Explicit Stability Bounds for 2D Helmholtz Equations ⋮ The Helmholtz problem in slowly varying waveguides at locally resonant frequencies ⋮ Domain optimization for an acoustic waveguide scattering problem ⋮ FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN ⋮ Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides

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