Space-time regularity of the solution to Maxwell's equations in non-convex domains

DOI10.1016/S1631-073X(02)02221-5zbMath0997.35100OpenAlexW2047239360MaRDI QIDQ1598456

Simon Labrunie, Emmanuelle Garcia

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02221-5

zbMATH Keywords

Maxwell's equationsorthogonal decompositionnon-convex domainssingular complement methodspace and time regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60)

Related Items

Time-dependent Maxwell's equations with charges in singular geometries, Solving Maxwell equations in 3D prismatic domains

Cites Work

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• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Caractérisation des singularités et résolution des équations de Maxwell stationnaires en géométrie axisymétrique
• Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel