Transmission conditions between subdomains have a substantial influence on the convergence of iterative domain decomposition algorithms. For Maxwell’s equations, transmission conditionswhich lead to rapidly converging algorithms have been developed both for the curl-curl formulation of Maxwell’s equation, see [1–3], and also for first order formulations, see [6, 7]. These methods have well found their way into applications, see for example  and the references therein. It turns out that good transmission conditions are approximations of transparent boundary conditions.
|Title of host publication||Domain Decomposition Methods in Science and Engineering XX|
|Editors||Randolph Bank, Michael Holst, Olof Widlund, Jinchao Xu|
|Place of Publication||Berlin|
|Number of pages||8|
|Publication status||Published - 15 Jul 2013|
|Name||Lecture Notes in Computational Science and Engineering|
El Bouajaji, M., Dolean, V., Gander, M. J., & Lanteri, S. (2013). Comparison of a one and two parameter family of transmission conditions for Maxwell's equations with damping. In R. Bank, M. Holst, O. Widlund, & J. Xu (Eds.), Domain Decomposition Methods in Science and Engineering XX (pp. 271-278). (Lecture Notes in Computational Science and Engineering; Vol. 91). Springer-Verlag. https://doi.org/10.1007/978-3-642-35275-1_31