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Studies in Domain Decomposition: Multilevel Methods and the Biharmonic Dirichlet Problem (Classic Reprint) - Softcover
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Excerpt from Studies in Domain Decomposition: Multilevel Methods and the Biharmonic Dirichlet Problem
Multilevel methods, such as multigrid methods, are among the most efficient methods for linear equations arising from elliptic problems; cf. Hackbusch mccormick [38] and the references therein. Recently, with the increasing interest in parallel computation, several new multilevel methods have been developed; cf. Yserentant Bank, Dupont and Yserentant Bramble, Pasciak and Xu and Dryja and Widlund In this thesis, we give improved results for a class of multilevel methods by showing that the condition number of the iteration Operator grows at most linearly with the number of levels in general, and is bounded by a constant independent of the mesh sizes and the number of levels if the elliptic problem is Hz - regular. This is an improvement on Dryja and Widlund's results on a multilevel additive Schwarz method as well as Bramble, P-asciak and Ku's results on the bpx algorithm.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1332201210
- ISBN 13 9781332201211
- BindingPaperback
- LanguageEnglish
- Number of pages103
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Studies in Domain Decomposition (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book explores multilevel methods for solving large-scale second-order elliptic problems. The author considers a class of multilevel methods in the additive Schwarz framework and establishes that under a regularity assumption, the condition number of the iterative operator grows at most linearly with the number of levels. The author extends this idea to the biharmonic Dirichlet problem, and constructs additive Schwarz algorithms for the biharmonic problem using various conforming finite element discretizations. The author establishes optimality and almost optimal convergence properties for the algorithms. The book is a valuable resource for researchers and graduate students in numerical analysis and scientific computing, especially those interested in domain decomposition methods for solving large-scale partial differential equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332201211_0
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Studies in Domain Decomposition Multilevel Methods and the Biharmonic Dirichlet Problem Classic Reprint
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Studies in Domain Decomposition Multilevel Methods and the Biharmonic Dirichlet Problem Classic Reprint
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Studies in Domain Decomposition : Multilevel Methods and the Biharmonic Dirichlet Problem (Classic Reprint)
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 104 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 26074663/1
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