Dirichlet-to-Neumann boundary condition for time-dependent dispersive waves in three-dimensional guides

DOI10.1016/j.jcp.2004.02.011zbMath1061.78006OpenAlexW2019135187MaRDI QIDQ1880743

Igor Patlashenko, Dan Givoli

Publication date: 1 October 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.02.011

zbMATH Keywords

finite elementsdispersionKlein-Gordon equationartificial boundarywaveguideDirichlet and Neumann condition

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (6)

Elastodynamic 2D-1D coupling using the DtN method ⋮ The double absorbing boundary method ⋮ Sequential Dirichlet-to-Neumann coupling for the mixed-dimensional wave equation ⋮ Robin-type wall functions and their numerical implementation ⋮ Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions ⋮ The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method

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• Radiation Boundary Conditions for Dispersive Waves
• Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment
• An optimal high-order non-reflecting finite element scheme for wave scattering problems

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