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Multilevel block factorization preconditioners : matrix-based analysis and algorithms for solving finite element equations /

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-factoriza...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vasilevski, Panaĭot
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York ; London : Springer, 2008.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Vasilevski, Panaĭot. 
245 1 0 |a Multilevel block factorization preconditioners :  |b matrix-based analysis and algorithms for solving finite element equations /  |c Panayot S. Vassilevski. 
260 |a New York ;  |a London :  |b Springer,  |c 2008. 
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504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a pt. 1. Motivation for preconditioning -- pt. 2. Block factorization preconditioners -- pt. 3. Appendices. 
520 |a 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 multigrid methods at the graduate level. 
506 |a University staff and students only. Requires University Computer Account login off-campus. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Differential equations, Linear  |x Numerical solutions. 
650 0 |a Differential equations, Partial  |x Numerical solutions. 
650 0 |a Finite element method. 
650 6 |a Équations différentielles linéaires  |x Solutions numériques. 
650 6 |a Équations aux dérivées partielles  |x Solutions numériques. 
650 6 |a Méthode des éléments finis. 
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650 0 7 |a Differential equations, Partial  |x Numerical solutions.  |2 cct 
650 0 7 |a Finite element method.  |2 cct 
650 0 7 |a Differential equations, Linear  |x Numerical solutions.  |2 cct 
650 7 |a Ecuaciones diferenciales lineales  |2 embne 
650 7 |a Método de elementos finitos  |2 embne 
650 7 |a Differential equations, Linear  |x Numerical solutions  |2 fast 
650 7 |a Differential equations, Partial  |x Numerical solutions  |2 fast 
650 7 |a Finite element method  |2 fast 
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776 0 8 |i Print version:  |a Vasilevski, Panaĭot.  |t Multilevel block factorization preconditioners.  |d New York ; London : Springer, 2008  |z 9780387715636  |z 0387715630  |w (DLC) 2007939248  |w (OCoLC)180470459 
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