The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

DOI10.4208/nmtma.OA-2017-0139zbMath1463.78008WikidataQ128341171 ScholiaQ128341171MaRDI QIDQ5210322

Long Yuan

Publication date: 22 January 2020

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

error estimatesanisotropic mediaelectromagnetic waveplane-wave basislocal spectral elementsplane wave discontinuous Galerkin

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Waves and radiation in optics and electromagnetic theory (78A40) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (4)

Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell’s Equations in Anisotropic Media ⋮ Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media ⋮ A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems ⋮ Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers

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