### Abstract

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 [9] and the references therein. It turns out that good transmission conditions are approximations of transparent boundary conditions.

Original language | English |
---|---|

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 |

Publisher | Springer-Verlag |

Pages | 271-278 |

Number of pages | 8 |

ISBN (Print) | 9783642352744 |

DOIs | |

Publication status | Published - 15 Jul 2013 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
---|---|

Publisher | Springer |

Volume | 91 |

ISSN (Print) | 1439-7358 |

## Cite this

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