Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media

DOI10.1016/j.camwa.2021.06.008OpenAlexW3176781811MaRDI QIDQ2047595

Qiya Hu, Long Yuan

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05997

zbMATH Keywords

error estimatesHelmholtz equationanisotropic mediatime-harmonic Maxwell's equationsplane wave basis

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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)

Related Items (6)

Global space-time Trefftz DG schemes for the time-dependent linear wave equation ⋮ A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media ⋮ Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media ⋮ A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix ⋮ A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell's equations in irregular regions ⋮ A generalized plane wave discontinuous Galerkin method for three-dimensional anisotropic Helmholtz equations with variable wave numbers

Uses Software

• Gmsh

Cites Work

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