Resolution of the time-harmonic Maxwell equations using discontinuous Galerkin methods and domain decomposition algorithms

Victorita Dolean (1, 2) , Hugo Fol (2) , Stephane Lanteri (2) , Ronan Perrussel (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 CAIMAN - Scientific computing, modeling and numerical analysis

We present numerical results relative to the resolution of the time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. First, a numerical study of the convergence of discontinuous Galerkin methods which compares different strategies proposed in the literature for the elliptic Maxwell equations, is performed in the two-dimensional case. We also introduce a Schwarz-type domain decomposition algorithm for solving the resulting linear systems; this strategy is evaluated in the three-dimensional case.

Mots clés: time-harmonic Maxwell's equation; domain decomposition methods; discontinuous Galerkin methods; domain decomposition methods.

Domaines: Analyse numérique [math.NA]

Victorita Dolean, Hugo Fol, Stephane Lanteri, Ronan Perrussel. Resolution of the time-harmonic Maxwell equations using discontinuous Galerkin methods and domain decomposition algorithms. 2006. ⟨hal-00106201v2⟩