Fully discrete finite element approaches for time-dependent Maxwell's equations

Patrick Ciarlet (1) , Jun Zou

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L2 -norm error estimates are obtained for convex polyhedral domains.

Patrick Ciarlet, Jun Zou. Fully discrete finite element approaches for time-dependent Maxwell's equations. Numerische Mathematik, 1999, 82 (2), pp.193-219. ⟨10.1007/s002110050417⟩. ⟨hal-01010719⟩