Singular electromagnetic fields: inductive approach
Franck Assous, Patrick Ciarlet, Emmanuelle Garcia · Comptes Rendus Mathématique · 2005
In a non-convex polyhedral domain, we describe the local trace (i.e. defined on a face) of the normal derivative of an L 2 function, with L 2 Laplacian. We then provide generalized integration by parts formulae for the Laplace, divergence and curl operators. Finally, these results allow us to split electromagnetic fields into regular and singular parts, which can be characterized.