Least-squares finite element methods
The book examines theoretical and computational aspects of least-squares finite element methods(LSFEMs) for partial differential equations (PDEs) arising in key science and engineering applications. It is intended for mathematicians, scientists, and engineers interested in either or both the theory...
Uloženo v:
| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2009. |
| Edice: | Applied Mathematical Sciences
166 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'après consultation du 06 juillet 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Least-squares finite element methods, Pavel B. Bochev, Max D. Gunzburger, 2009, New York (N.Y.), Springer, 1 vol. (XXII-660 p.), Applied mathematical sciences, 978-0-387-30888-3 • Least-squares finite element methods, Pavel B. Bochev, Max D. Gunzburger, 2009, New York (N.Y.), Springer, 1 vol. (XXII-660 p.), Applied mathematical sciences, 978-0-387-30888-3 • Least-Squares Finite Element Methods, Texte imprimé, 9780387563220 • Least-squares finite element methods, Pavel B. Bochev, Max D. Gunzburger, 2009, New York (N.Y.), Springer, 1 vol. (XXII-660 p.), Applied mathematical sciences, 978-0-387-30888-3 |
Obsah:
- Survey of Variational Principles and Associated Finite Element Methods. Classical Variational Methods Alternative Variational Formulations Abstract Theory of Least-Squares Finite Element Methods Mathematical Foundations of Least-Squares Finite Element Methods The Agmon#x2013;Douglis#x2013;Nirenberg Setting for Least-Squares Finite Element Methods Least-Squares Finite Element Methods for Elliptic Problems Scalar Elliptic Equations Vector Elliptic Equations The Stokes Equations Least-Squares Finite Element Methods for Other Settings The Navier#x2013;Stokes Equations Parabolic Partial Differential Equations Hyperbolic Partial Differential Equations Control and Optimization Problems Variations on Least-Squares Finite Element Methods Supplementary Material Analysis Tools Compatible Finite Element Spaces Linear Operator Equations in Hilbert Spaces The Agmon#x2013;Douglis#x2013;Nirenberg Theory and Verifying its Assumptions