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Record Nr. |
UNINA9910451736703321 |
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Autore |
Vasilevski Panaì†ot |
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Titolo |
Multilevel block factorization preconditioners [[electronic resource] ] : matrix-based analysis and algorithms for solving finite element equations / / Panayot S. Vassilevski |
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Pubbl/distr/stampa |
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New York, : Springer, 2008 |
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ISBN |
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1-281-85367-4 |
9786611853679 |
0-387-71564-9 |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (535 p.) |
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Disciplina |
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Soggetti |
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Differential equations, Linear - Numerical solutions |
Differential equations, Partial - Numerical solutions |
Finite element method |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. 1. Motivation for preconditioning -- pt. 2. Block factorization preconditioners -- pt. 3. Appendices. |
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Sommario/riassunto |
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This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework. Topics covered include the classical incomplete block-factorization preconditioners and the most efficient methods such as the multigrid, algebraic multigrid, and domain decomposition. Additionally, the author discusses preconditioning of saddle-point, nonsymmetric and indefinite problems, as well as preconditioning of certain nonlinear and quadratic constrained minimization problems that typically arise in contact mechanics. The book presents analytical as well as algorithmic aspects. This text can serve as an indispensable reference for researchers, graduate students, and practitioners. It can also be used as a supplementary text for a topics course in preconditioning and/or |
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