Excerpt from Multilevel Additive Methods for Elliptic Finite Element Problems
This paper is organized as follows. In Section 2, a general asm frame work is introduced for variational equations in Hilbert space. We work with projections, which are orthogonal with respect to the given bilinear form, and related subspaces; cf. Lions where the classical Schwarz method is considered. We also show how the rate of convergence of Schwarz methods can be analyzed, and discuss briefly how they can be implemented.
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Paperback. 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. Seller Inventory # 9781333584351_0
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Paperback. Condition: Brand New. 26 pages. 9.13x5.98x0.10 inches. In Stock. This item is printed on demand. Seller Inventory # 1333584350
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