Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations

DOI10.3934/DCDSB.2020185zbMath1476.65254OpenAlexW3036857750MaRDI QIDQ2033575

Jiangxing Wang

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020185

zbMATH Keywords

convergence analysisdiscontinuous Galerkin methodfully discreteaccurate and efficient

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Statistical mechanics of superconductors (82D55) 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)

Related Items (2)

An energy stable discontinuous Galerkin time-domain finite element method in optics and photonics ⋮ A FETD scheme and analysis for photonic crystal waveguides comprising third-order nonlinear and linear materials

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