Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping
Dipartimento di Matematica, Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy. (Ana.Alonso@mat.unimi.it)
2 Dipartimento di Matematica, Università degli Studi di Trento, 38050 Povo (Trento), Italy. (email@example.com)
Revised: 30 March 2001
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Mathematics Subject Classification: 65N55 / 65N30
Key words: Time-harmonic Maxwell equations / domain decomposition methods / edge finite elements.
© EDP Sciences, SMAI, 2001