This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
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From the reviews of the first edition: "This book unifies the results from a number of papers by the authors and their coworkers over the past two decades, and complements them by new insights and some background. The distinguishing feature of this book is a comprehensive and rigorous treatment of convergence bounds based on the theory of infinite elements. … The bibliography is quite complete for the fields covered … . The book belongs on the desk of all specialists involved in domain decomposition and substructuring … ." (Jan Mandel, Zentralblatt MATH, Vol. 1069, 2005)
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Inside This Book
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First Sentence:
The basic ideas of domain decomposition are quite natural and simple. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
iterative substructuring methods, primal subspace, subdomain vertices, overlapping preconditioners, primal vertices, edge element approximations, local bilinear forms, floating subdomains, spectral element approximations, estimated condition number, discrete harmonic extensions, spectral element case, coarse space, iterative substructuring algorithms, nonredundant case, coarse solve, coarse functions, discrete harmonic function, preconditioned operator, coarse problem, domain decomposition methods, error propagation operator, subdomain edges, primal edges, spectral element discretizations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Let Assumptions, Subdomains Dof New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The basic ideas of domain decomposition are quite natural and simple. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
iterative substructuring methods, primal subspace, subdomain vertices, overlapping preconditioners, primal vertices, edge element approximations, local bilinear forms, floating subdomains, spectral element approximations, estimated condition number, discrete harmonic extensions, spectral element case, coarse space, iterative substructuring algorithms, nonredundant case, coarse solve, coarse functions, discrete harmonic function, preconditioned operator, coarse problem, domain decomposition methods, error propagation operator, subdomain edges, primal edges, spectral element discretizations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Let Assumptions, Subdomains Dof New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
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100
books
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- Domain Decomposition Methods in Sciences and Engineering by P. Bjorstad on 10 pages
- First International Symposium on Domain Decomposition Methods for Partial Differential Equations by Roland Glowinski on 7 pages
- Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Ralf Kornhuber on 6 pages
- Recent Developments in Domain Decomposition Methods by Luca F. Pavarino on 4 pages
- Domain Decomposition Methods in Sciences and Engineering by R. Glowinski in Back Matter (1), Back Matter (2), and Back Matter (3)
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- Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Ralf Kornhuber on 19 pages
- Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations by Barry Smith on 10 pages
- Parallel Computational Fluid Dynamics '99: Towards Teraflops, Optimization and Novel Formulations by D. Keyes on 8 pages
- Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities (Mathematics and Its Applications) by Zi Cai Li on 6 pages
- Finite Element Methods (Lecture Notes in Pure and Applied Mathematics) by Michel Krizek on 6 pages
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