Synopsis
Unlock the math behind fast, scalable domain decomposition for PDEs with small overlap.
This rigorous guide explains how additive Schwarz and related methods perform on 3-D and 2-D finite element problems, offering deep theoretical results and practical insights for implementing these techniques.
- Learn the key ideas behind substructure-based solvers, projection operators, and how overlap affects convergence.
- See how norm estimates, interpolation, and extension theorems come into play in the analysis.
- Explore the conditions under which efficient preconditioners and iterative schemes achieve stable performance.
- Get a clear view of the algorithmic steps, error bounds, and convergence arguments that practitioners use in high-performance computing.
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Domain Decomposition Algorithms With Small Overlap (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into Schwarz methods, a class of domain decomposition algorithms used to solve partial differential equations. The author provides a theoretical framework for these methods, focusing on the case of small overlap between neighboring subdomains. By establishing bounds on the condition number of the preconditioned operator, the book demonstrates the effectiveness of Schwarz methods even with minimal overlap. The author also analyzes a vertex space algorithm, showing that it converges rapidly despite a modest overlap. The significance of this work lies in its potential to enhance the efficiency of domain decomposition methods, making them more viable for solving complex problems in parallel computing environments. 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 # 9781332871230_0
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Domain Decomposition Algorithms with Small Overlap (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332871230
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Domain Decomposition Algorithms with Small Overlap (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332871230
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