Non-reflecting boundary conditions for waveguides

DOI10.1090/S0025-5718-99-01016-9zbMath0907.35127MaRDI QIDQ4221971

Abderrahmane Bendali, Philippe Guillaume

Publication date: 3 December 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

finite elementabsorbing boundary conditionsGuided propagation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (12)

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 ⋮ Modeling and simulation of an acoustic well stimulation method ⋮ Regional connectivity in modified finite point method ⋮ Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides ⋮ Optimized double sweep Schwarz method by complete radiation boundary conditions ⋮ High-order adjustable boundary condition for absorbing evanescent modes of waveguides and its application in coupled fluid-structure analysis ⋮ Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions ⋮ Imaging Extended Reflectors in a Terminating Waveguide ⋮ Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides ⋮ 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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