hp-Finite Element Methods for Singular Perturbations
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-co...
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Серии: | Lecture notes in mathematics
1796 |
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| Online-ссылка: | 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) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • hp-finite element methods for singular perturbations, Jens M. Melenk, 2002, Berlin, Springer, 1 vol. (XIV-318 p.), Lecture notes in mathematics, 3-540-44201-4 • hp-Finite Element Methods for Singular Perturbations, Texte imprimé, 9783662175804 |
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| 100 | 1 | |a Melenk, Jens Markus, |d 1967-...., |c mathématicien. | |
| 245 | 1 | 0 | |a hp-Finite Element Methods for Singular Perturbations |c Jens M. Melenk. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1796 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 1.Introduction -- Part I: Finite Element Approximation -- 2. hp-FEM for Reaction Diffusion Problems: Principal Results -- 3. hp Approximation -- Part II: Regularity in Countably Normed Spaces -- 4. The Countably Normed Spaces blb,e -- 5. Regularity Theory in Countably Normed Spaces -- Part III: Regularity in Terms of Asymptotic Expansions -- 6. Exponentially Weighted Countably Normed Spaces -- Appendix -- References -- Index. | |
| 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 Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously. | ||
| 650 | |a Perturbations singulières (mathématiques) | ||
| 650 | |a Équations aux dérivées partielles |x Solutions numériques | ||
| 650 | |a Éléments finis, Méthode des | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 776 | 0 | |0 074105167 |t hp-finite element methods for singular perturbations |f Jens M. Melenk |d 2002 |c Berlin |n Springer |p 1 vol. (XIV-318 p.) |s Lecture notes in mathematics |z 3-540-44201-4 | |
| 776 | 0 | |t hp-Finite Element Methods for Singular Perturbations |b Texte imprimé |z 9783662175804 | |
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| 856 | 4 | |5 180339901:754020959 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b84212 |z Accès INSA CVL | |
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