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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Add to basketPaperback. Condition: New. Print on Demand. This book explores the latest mathematical techniques for solving complex elliptic finite element problems. It is an invaluable resource for researchers and practitioners designing and analyzing methods for solving systems of linear algebraic equations resulting from the finite element approximations of second-order, elliptic problems. The author focuses on additive Schwarz methods, which form an essential class of domain decomposition methods. By providing a general framework for this method, the book reveals new possibilities in designing and analyzing novel iterative methods for solving elliptic finite element problems. The author carefully analyzes the convergence rate and makes recommendations for implementation. Additionally, the book discusses potential topics for future research, making it an excellent reference for anyone looking to delve into this field. The insights provided contribute to the advancement of numerical methods for solving elliptic finite element problems. 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.
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Add to basketPaperback. Condition: New. Print on Demand. This book provides an innovative and accessible exploration of the fascinating world of domain decomposition algorithms for elliptic partial differential equations, offering a unified theoretical framework for analyzing and developing these algorithms. The author, an expert in the field, presents a comprehensive overview of the latest research on the subject, providing valuable insights into the effectiveness and limitations of different approaches. Throughout the book, the author demonstrates how domain decomposition algorithms can be tailored to specific problems, making them a versatile tool for solving complex scientific and engineering challenges. The book delves into the mathematical foundations of these algorithms, offering a deep understanding of their convergence properties and computational complexity. By providing a unified framework for understanding domain decomposition algorithms, this book empowers readers to make informed decisions when selecting and applying these techniques to their own research or practical applications. Ultimately, the book's insights advance the comprehension and utilization of domain decomposition algorithms, contributing to advancements in computational science and engineering. 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.
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Add to basketPaperback. 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.
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Add to basketPaperback. Condition: New. Print on Demand. This book explores domain decomposition methods that solve large linear systems of equations arising from elliptic boundary value problems. These equations often emerge when discretizing partial differential equations used in fluid dynamics, elasticity, and other important applications. The author discusses how to efficiently solve these problems using domain decomposition methods on parallel computers. The book provides a comprehensive framework for designing and analyzing these methods, and it highlights the importance of using subspaces and projections to accelerate convergence. The author also explores the use of iterative substructuring methods, which do not use any overlap between subregions, and shows how they can be used to obtain fast rates of convergence. Overall, this book offers a valuable resource for researchers and practitioners working on the numerical solution of 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.
PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.
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Add to basketPAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.