Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be comput...
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| Главный автор: | |
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2008. |
| Серии: | Lecture Notes in Computational Science and Engineering
63 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
L'impression du document génère 302 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hierarchical matrices, a means to efficiently solve elliptic boundary value problems, with 45 figures and 53 tables, Mario Bebendorf, Berlin, Springer, 2008, 1 vol. (xvi-290 p.), Lecture Notes in Computational Science and Engineering, 978-3-540-77146-3 • Hierarchical Matrices, Texte imprimé, 9783540869931 • Hierarchical matrices, a means to efficiently solve elliptic boundary value problems, with 45 figures and 53 tables, Mario Bebendorf, Berlin, Springer, 2008, 1 vol. (xvi-290 p.), Lecture Notes in Computational Science and Engineering, 978-3-540-77146-3 |
| Итог: | Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions.The theory is supported by many numerical experiments from real applications |
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| Примечание: | L'impression du document génère 302 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Библиография: | Bibliogr. Index |
| ISBN: | 9783540771470 |
| ISSN: | 2197-7100 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |