Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge

DOI10.1093/IMANUM/DRAB076zbMath1502.65134OpenAlexW3209641683MaRDI QIDQ5042902

Li-qun Cao, Chupeng Ma, Yongwei Zhang

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drab076

zbMATH Keywords

error estimatestime stepping schemeGalerkin finite element methodsMaxwell-Schrödinger

Mathematics Subject Classification ID

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) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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