Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers

DOI10.1016/j.cam.2018.05.024zbMath1394.65150OpenAlexW2803764062MaRDI QIDQ724513

Qiya Hu, Long Yuan

Publication date: 26 July 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.024

zbMATH Keywords

error estimateswell-posednessHelmholtz equationelectromagnetic wavetime-harmonic Maxwell's equationsplane wave basis

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media ⋮ Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell’s Equations in Anisotropic Media ⋮ A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz equation ⋮ Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains ⋮ A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems ⋮ Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity ⋮ Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers

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