Godunov scheme for Maxwell's equations with Kerr nonlinearity

DOI10.4310/CMS.2015.v13.n8.a10zbMath1332.78029arXiv1404.6372OpenAlexW2963132015MaRDI QIDQ889122

Denise Aregba-Driollet

Publication date: 6 November 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6372

zbMATH Keywords

relaxationRiemann problemfinite volumesKerr-Debye modelGodunovKerr model

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Lasers, masers, optical bistability, nonlinear optics (78A60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (5)

High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media in one dimension ⋮ Numerical analysis of the direct method for 3D Maxwell's equation in Kerr-type nonlinear media ⋮ Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media ⋮ An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media ⋮ Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension

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