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...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Multilevel block factorization preconditioners, matrix-based analysis and algorithms for solving finite element equations, Panayot S. Vassilevski, New York, Springer, 2008, 1 vol. (XIV-529 p.), 978-0-387-71563-6 • Multilevel Block Factorization Preconditioners, Texte imprimé, 9780387565613 • Multilevel Block Factorization Preconditioners, Texte imprimé, 9781441924483 |
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| 100 | 1 | |a Vassilevski, Panayot S. | |
| 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, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2008. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Motivation for Preconditioning -- A Finite Element Tutorial -- A Main Goal -- Block Factorization Preconditioners -- Two-by-Two Block Matrices and Their Factorization -- Classical Examples of Block-Factorizations -- Multigrid (MG) -- Topics on Algebraic Multigrid (AMG) -- Domain Decomposition (DD) Methods -- Preconditioning Nonsymmetric and Indefinite Matrices -- Preconditioning Saddle-Point Matrices -- Variable-Step Iterative Methods -- Preconditioning Nonlinear Problems -- Quadratic Constrained Minimization Problems. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Décomposition (méthode mathématique) | ||
| 650 | |a Méthodes multigrilles (analyse numérique) | ||
| 776 | 0 | |0 138544743 |t Multilevel block factorization preconditioners |o matrix-based analysis and algorithms for solving finite element equations |f Panayot S. Vassilevski |c New York |n Springer |d 2008 |p 1 vol. (XIV-529 p.) |z 978-0-387-71563-6 | |
| 776 | 0 | |t Multilevel Block Factorization Preconditioners |b Texte imprimé |z 9780387565613 | |
| 776 | 0 | |t Multilevel Block Factorization Preconditioners |b Texte imprimé |z 9781441924483 | |
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