P. Helluy et al., APPROXIMATION OF THE UNSTATIONARY MAXWELL EQUATIONS IN AN UNBOUNDED DOMAIN ASYMPTOTIC-BEHAVIOR, La Recherche aerospatiale, (5), 1994, pp. 365-377
In this paper, we describe a discontinuous finite-element method for s
olving time-dependent electromagnetic problems. The Maxwell equations
are considered as a first-order symmetric hyperbolic system. The appro
ximation is written on an infinite unstructured mesh and only the spat
ial discretization is studied. An error estimate is made. Some conside
rations are then given on the asymptotic behavior of the solution over
time. The link with nonreflecting boundary conditions is discussed. N
umerical results are given as an illustration.