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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Detalhes bibliográficos
Auteurs principaux: Larson, Mats G., 1968-, Bengzon, Fredrik (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2013.
Colecção:Texts in Computational Science and Engineering 10
Assuntos:
Acesso em linha: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:• 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
Sumário:
  • 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