The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain

In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, usin g the so-called singular complement method (SCM), for which the computed fi elds are continuous. In this paper we present an extension of the SCM, whic h allows to solve efficiently the time-dependent Maxwell equations with cha rges, with almost no additional computational cost. Thus, the numerical sol ution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver (C) 2000 Academie des sciences/Editions scien tifiques et medicales Elsevier SAS.