Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell’s equations

Marcella Bonazzoli (1) , Victorita Dolean (2, 1) , Richard Pasquetti (1) , Francesca Rapetti (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 Department of Mathematics and Statistics [Univ Strathclyde]

We focus on high order edge element approximations of waveguide problems. For the associated linear systems, we analyze the impact of two Schwarz preconditioners, the Optimized Additive Schwarz (OAS) and the Optimized Restricted Additive Schwarz (ORAS), on the convergence of the iterative solver.

Domaines: Analyse numérique [math.NA]

Marcella Bonazzoli, Victorita Dolean, Richard Pasquetti, Francesca Rapetti. Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell’s equations. DD23 International Conference on Domain Decomposition Methods, Jul 2015, Jeju Island, South Korea. pp.117-124, ⟨10.1007/978-3-319-52389-7_10⟩. ⟨hal-01250761⟩