A CG-DG method for Maxwell's equations in Cole-Cole dispersive media

DOI10.1016/j.cam.2021.113480zbMath1468.65153OpenAlexW3130931157MaRDI QIDQ2020540

Zhimin Zhang, Jiwei Zhang, Jiangxing Wang

Publication date: 23 April 2021

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.2021.113480

zbMATH Keywords

finite element methodMaxwell equationsfast algorithmdiscontinuous Galerkin (DG) methodCole-Cole dispersive media

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Electromagnetic theory (general) (78A25) Fractional partial differential equations (35R11) Maxwell equations (35Q61)

Related Items

Numerical simulation for 2D/3D time fractional Maxwell's system based on a fast second-order FDTD algorithm, On Discrete Energy Dissipation of Maxwell'S Equations In a Cole-Cole Dispersive Medium, A FETD scheme and analysis for photonic crystal waveguides comprising third-order nonlinear and linear materials, Finite element approximation for Maxwell's equations with Debye memory under a nonlinear boundary feedback with delay, Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models, Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium

Uses Software

• DLMF

Cites Work

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