%0 Report %T Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain %+ Mathematical Analysis and Numerical Simulation of Non-Linear Models (NUMATH) %A Assous, Franck %A Ciarlet, Patrick %A Raviart, Pierre-Arnaud %A Sonnendrücker, Eric %N RR-3226 %P 13 %I INRIA %8 1997 %D 1997 %K Maxwell's equations %K polyhedral domains %K corner singularities %Z Computer Science [cs]/Other [cs.OH]Reports %X The solution of Maxwell's equations in a non-convex polyhedral domain is less regular than in a smooth or convex polyhedral domain. In this paper we show that this solution can be decomposed into the orthogonal sum of a singular part and a regular part, and we give a characterization of the singular part. We also notice that the decomposition is linked to the one associated to the scalar Laplacian. %G English %2 https://inria.hal.science/inria-00073463/document %2 https://inria.hal.science/inria-00073463/file/RR-3226.pdf %L inria-00073463 %U https://inria.hal.science/inria-00073463 %~ INRIA %~ INRIA-RRRT %~ IRMA %~ INRIA-LORRAINE %~ INRIA-NANCY-GRAND-EST %~ TESTALAIN1 %~ INRIA2 %~ LARA