Approximate models for the Maxwell equations

DOI10.1016/0377-0427(95)00058-5zbMath0862.65076OpenAlexW2035546673MaRDI QIDQ1917842

Pierre-Arnaud Raviart, Eric Sonnendrücker

Publication date: 28 May 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00058-5

zbMATH Keywords

Maxwell equationsasymptotic analysislow frequency phenomena

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Darwin approximation for the system of Maxwell's equations in inhomogeneous conducting media ⋮ On quasi-static models hidden in Maxwell's equations ⋮ An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics ⋮ A PIC method for solving a paraxial model of highly relativistic beams

Cites Work

• Streamlined Darwin simulation of nonneutral plasmas
• On a finite-element method for solving the three-dimensional Maxwell equations
• A finite element formulation of the Darwin PIC model for use on unstructured grids
• An analysis of the Darwin model of approximation to Maxwell’s equations

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