Synopsis
A practical guide to scalable elliptic finite element solvers using additive Schwarz methods.
This work presents a framework for overlapping-subregion Schwarz methods and shows how to build efficient solvers for variational problems in Hilbert spaces, with a focus on finite element discretizations.
- Learn how projection-based subspace decompositions lead to robust, parallelizable algorithms.
- See two-level and multilevel strategies that keep convergence rates steady as meshes grow.
- Explore connections to Yserentant’s hierarchical basis method and Bramble–Pasciak–Xu approaches.
- Understand how these methods apply to symmetric, positive definite elliptic problems in two and three dimensions, including practical implementation notes.
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Multilevel Additive Methods for Elliptic Finite Element Problems
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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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Multilevel Additive Methods for Elliptic Finite Element Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333584351
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Multilevel Additive Methods for Elliptic Finite Element Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333584351
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