Domain decomposition methods : algorithms and theory
The purpose of this text is to offer a comprehensive and self-contained pre sentation of some of the most successful and popular domain decomposition methods for partial differential equations. Strong emphasis is put on both al gorithmic and mathematical aspects. In addition, we have wished to prese...
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| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2005. |
| Loạt: | Springer Series in Computational Mathematics
34 |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Domain decomposition methods, algorithms and theory, Andrea Toselli, Olof Widlund, Berlin, Springer, 2005, 1 vol. (XV-450 p.), Springer series in computational mathematics, 3-5402-0696-5 • Domain Decomposition Methods - Algorithms and Theory, Texte imprimé, 9783540800613 • Domain decomposition methods - algorithms and theory, Andrea Toselli, Berlin [u.a.], Springer, 2010, 1 vol.(450 p.), Springer series in computational mathematics, 978-3-642-05848-6 • Domain decomposition methods, algorithms and theory, Andrea Toselli, Olof Widlund, Berlin, Springer, 2005, 1 vol. (XV-450 p.), Springer series in computational mathematics, 3-5402-0696-5 |
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| 100 | 1 | |a Toselli, Andrea. | |
| 245 | 1 | 0 | |a Domain decomposition methods : |b algorithms and theory |c by Andrea Toselli, Olof B. Widlund. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Series in Computational Mathematics |v 34 |x 2198-3712 | |
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| 505 | 1 | |a Abstract Theory of Schwarz Methods Two-Level Overlapping Methods Substructuring Methods: Introduction Primal Iterative Substructuring Methods Neumann-Neumann and FETI Methods Spectral Element Methods Linear Elasticity Preconditioners for Saddle Point Problems Problems in H (div ; ?) and H (curl ; ?) Indefinite and Nonsymmetric Problems Elliptic Problems and Sobolev Spaces Galerkin Approximations Solution of Algebraic Linear Systems | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The purpose of this text is to offer a comprehensive and self-contained pre sentation of some of the most successful and popular domain decomposition methods for partial differential equations. Strong emphasis is put on both al gorithmic and mathematical aspects. In addition, we have wished to present a number of methods that have not been treated previously in other mono graphs and surveys. We believe that this monograph will offer something new and that it will complement those of Smith, Bj0rstad, and Gropp [424] and Quarteroni and Valli [392]. Our monograph is also more extensive and broader than the surveys given in Chan and Mathew [132], Farhat and Roux [201], Le Tallec [308], the habilitation thesis by Wohlmuth [469], and the well-known SIAM Review articles by Xu [472] and Xu and Zou [476]. Domain decomposition generally refers to the splitting of a partial differen tial equation, or an approximation thereof, into coupled problems on smaller subdomains forming a partition of the original domain. This decomposition may enter at the continuous level, where different physical models may be used in different regions, or at the discretization level, where it may be con venient to employ different approximation methods in different regions, or in the solution of the algebraic systems arising from the approximation of the partial differential equation. These three aspects are very often interconnected in practice. This monograph is entirely devoted to the third aspect of domain decompo sition | ||
| 700 | 1 | |a Widlund, Olof B. |4 aut | |
| 776 | 0 | |0 081686463 |t Domain decomposition methods |o algorithms and theory |f Andrea Toselli, Olof Widlund |c Berlin |n Springer |d 2005 |p 1 vol. (XV-450 p.) |s Springer series in computational mathematics |z 3-5402-0696-5 | |
| 776 | 0 | |t Domain Decomposition Methods - Algorithms and Theory |b Texte imprimé |z 9783540800613 | |
| 776 | 0 | |0 191846805 |t Domain decomposition methods - algorithms and theory |f Andrea Toselli |c Berlin [u.a.] |n Springer |d 2010 |p 1 vol.(450 p.) |s Springer series in computational mathematics |z 978-3-642-05848-6 | |
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