@inproceedings{87663fa355cf47c088c29588b6e4f648,
title = "Schwarz methods for second order Maxwell equations in 3D with coefficient jumps",
abstract = "We study non-overlapping Schwarz Methods for solving second order time-harmonic 3D Maxwell equations in heterogeneous media. Choosing the interfaces between the subdomains to be aligned with the discontinuities in the coefficients, we show for a model problem that while the classical Schwarz method is not convergent, optimized transmission conditions dependent on the discontinuities of the coefficients lead to convergent methods. We prove asymptotically that the resulting methods converge in certain cases independently of the mesh parameter, and convergence can even become better as the coefficient jumps increase.",
keywords = "Schwarz methods, Maxwell equations, heterogeneous media, transmission conditions, applied current density ",
author = "Victorita Dolean and Gander, {Martin J.} and Erwin Veneros",
year = "2016",
month = feb,
day = "1",
doi = "10.1007/978-3-319-18827-0_48",
language = "English",
isbn = "9783319188263",
volume = "104",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer-Verlag",
pages = "471--479",
booktitle = "Domain Decomposition Methods in Science and Engineering XXII",
note = "22nd International Conference on Domain Decomposition Methods, DD 2013 ; Conference date: 16-09-2013 Through 20-09-2013",
}