The finite element method : theory, implementation, and applications
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise...
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| Auteurs principaux: | , |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2013. |
| 叢編: | Texts in Computational Science and Engineering
10 |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Finite Element Method: Theory, Implementation, and Applications, Texte imprimé, 9783642332883 • The Finite Element Method: Theory, Implementation, and Applications, Texte imprimé, 9783642447112 • The finite element method, theory, implementation, and applications, Mats G. Larson, Fredrik Bengzon, 2013, Berlin, Springer-Verlag, 1 vol. (XVII-385 p.), Texts in computational science and engineering, 978-3-642-33286-9 |
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| 100 | 1 | |a Larson, Mats G., |d 1968- | |
| 245 | 1 | 0 | |a The finite element method : |b theory, implementation, and applications |c Mats G. Larson, Fredrik Bengzon. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Texts in Computational Science and Engineering |v 10 |x 2197-179X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 379-381 de l'édition imprimée. Index | ||
| 505 | 1 | |a 1. Piecewise Polynomial Approximation in 1D 2. The Finite Element Method in 1D 3. Piecewise Polynomial Approximation in 2D 4. The Finite Element Method in 2D 5. Time-dependent Problems 6. Solving Large Sparse Linear Systems 7. Abstract Finite Element Analysis 8. The Finite Element 9. Non-linear Problems 10. Transport Problems 11. Solid Mechanics 12. Fluid Mechanics 13. Electromagnetics 14. Discontinuous Galerkin Methods A. Some Additional Matlab Code References | |
| 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 This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Éléments finis, Méthode des | ||
| 700 | 1 | |a Bengzon, Fredrik. |4 aut | |
| 776 | 0 | |t The Finite Element Method: Theory, Implementation, and Applications |b Texte imprimé |z 9783642332883 | |
| 776 | 0 | |t The Finite Element Method: Theory, Implementation, and Applications |b Texte imprimé |z 9783642447112 | |
| 776 | 0 | |0 184982650 |t The finite element method |o theory, implementation, and applications |f Mats G. Larson, Fredrik Bengzon |d 2013 |c Berlin |n Springer-Verlag |p 1 vol. (XVII-385 p.) |s Texts in computational science and engineering |z 978-3-642-33286-9 | |
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