Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain

DOI<485::AID-MMA46>3.0.CO;2-E 10.1002/(SICI)1099-1476(199904)22:6<485::AID-MMA46>3.0.CO;2-EzbMath0931.35169OpenAlexW2160005782MaRDI QIDQ4239475

Pierre-Arnaud Raviart, Eric Sonnendrücker, Franck Assous, Patrick~jun. Ciarlet

Publication date: 23 February 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199904)22:6<485::aid-mma46>3.0.co;2-e

zbMATH Keywords

polyhedral domainsingular part of solution of Maxwell's equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Analyticity in context of PDEs (35A20) Electromagnetic theory (general) (78A25)

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Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Finite Element Methods for Navier-Stokes Equations
• Singularités des équations de Maxwell dans un polyèdre
• Une caractérisation de l'orthogonal de Δ(H2(Ω) ∩ H01(Ω)) dans L2(Ω)