@inproceedings{5748ffed103044b7b5d3d79762abb765,
title = "Can the discretization modify the performance of Schwarz methods?",
abstract = "Schwarz domain decomposition methods can be analyzed both at the continuous and discrete level. For consistent discretizations, one would naturally expect that the discretized method performs as predicted by the continuous analysis. We show in this short note for two model problems that this is not always the case, and that the discretization can both increase and decrease the convergence speed predicted by the continuous analysis.",
keywords = "discretization, Schwarz methods, domain decomposition methods, operations research, continuous analysis, convergence speed, discrete levels",
author = "Victorita Dolean and Gander, {Martin J.}",
year = "2010",
month = dec,
day = "3",
doi = "10.1007/978-3-642-11304-8_11",
language = "English",
isbn = "9783642113031",
volume = "78",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "117--124",
booktitle = "Domain Decomposition Methods in Science and Engineering XIX",
note = "19th International Conference on Domain Decomposition, DD19 ; Conference date: 17-08-2009 Through 22-08-2009",
}