@inproceedings{395e653b2ab64938ac26d3df36434f84,
title = "How to use the smith factorization for domain decomposition methods applied to the stokes equations",
abstract = "In this paper we demonstrate that the Smith factorization is a powerful tool to derive new domain decomposition methods for vector valued problems. Here, the factorization is applied to the two-dimensional Stokes system. The key idea is the transformation of the Stokes problem into a scalar bi-harmonic problem. We show how a proposed domain decomposition method for the bi-harmonic problem leads to an algorithm for the Stokes equations which inherits the convergence behavior of the scalar problem.",
keywords = "Stokes equation, iteration step, domain decomposition method, convergence of numerical methods, factorization, operations research, bi-harmonic, convergence behaviors, scalar problems",
author = "Victorita Dolean and Fr{\'e}d{\'e}ric Nataf and Gerd Rapin",
year = "2008",
month = dec,
day = "1",
doi = "10.1007/978-3-540-75199-1_60",
language = "English",
isbn = "9783540751984",
volume = "60",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "477--484",
booktitle = "Domain Decomposition Methods in Science and Engineering XVII",
note = "17th International Conference on Domain Decomposition Methods ; Conference date: 03-07-2006 Through 07-07-2006",
}