Singular electromagnetic fields: inductive approach

DOI10.1016/j.crma.2005.09.034zbMath1081.35111OpenAlexW2060923395MaRDI QIDQ2575105

Franck Assous, Emmanuelle Garcia, Patrick~jun. Ciarlet

Publication date: 5 December 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.09.034

zbMATH Keywords

divergenceLaplaciancurl operatorssingular fieldnonconvex polyhedral domainregular field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items (5)

Weighted edge finite element method for Maxwell's equations with strong singularity ⋮ Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy ⋮ New numerical method for solving time-harmonic Maxwell equations with strong singularity ⋮ Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains ⋮ Time-dependent Maxwell's equations with charges in singular geometries

Cites Work

• Unnamed Item
• Maxwell operator in regions with nonsmooth boundaries
• Singularities of electromagnetic fields in polyhedral domains
• Singularities of Maxwell interface problems
• A local compactness theorem for Maxwell's equations
• Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
• A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
• Une caractérisation de l'orthogonal de Δ(H2(Ω) ∩ H01(Ω)) dans L2(Ω)

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