A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell's equations in inhomogeneous media with discontinuous waves

DOI10.1016/J.AML.2022.107906zbMath1483.78006OpenAlexW4205991160MaRDI QIDQ2077096

Cuixia Niu, He-Ping Ma

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107906

zbMATH Keywords

inhomogeneous mediaoptimal error estimatediscontinuous electromagnetic wavesmultidomain Legendre-Chebyshev spectral methodtwo-dimensional Maxwell's equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Electromagnetic theory (general) (78A25) 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 (1)

Legendre-tau Chebyshev collocation spectral element method for Maxwell's equations with material interfaces of two dimensional transverse magnetic mode

Cites Work

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