An hp−DISCONTINUOUS GALERKIN METHOD FOR THE TIME-DEPENDENT MAXWELL'S EQUATIONS

A. Zaghdani (1) , Christian Daveau (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

One discontinuous Galerkin method for the numerical approximation for the time-dependant Maxwell's equations in “stable medium” with supraconductive boundary, is introduced and analysed. its hp−analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained.

Domaines: Analyse numérique [math.NA]

A. Zaghdani, Christian Daveau. An hp−DISCONTINUOUS GALERKIN METHOD FOR THE TIME-DEPENDENT MAXWELL'S EQUATIONS. 2007. ⟨hal-00150119⟩