Abstract
Here, we consider a multilevel additive Schwarz (MAS) method which provides the base for the construction of efficient and well parallelizable preconditioners for solving Schur complement interface equations to be considered later on. The terminology was introduced by Dryja and Widlund [55] and goes back to the alternating algorithm proposed by Schwarz [161] in 1870. Due to Xu, this algorithm is also called a parallel subspace correction method. The rigorous analysis of this method may be found in [32, 56, 138, 191].
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© 2004 Springer-Verlag Berlin Heidelberg
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Khoromskij, B.N., Wittum, G. (2004). Multilevel Methods. In: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface. Lecture Notes in Computational Science and Engineering, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18777-3_4
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DOI: https://doi.org/10.1007/978-3-642-18777-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20406-0
Online ISBN: 978-3-642-18777-3
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