Mixed Finite Element Methods and Applications

• Κύριοι συγγραφείς: Boffi, Daniele (Συγγραφέας), Brezzi, Franco (Συγγραφέας), Fortin, Michel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Springer Series in Computational Mathematics, 44
• Θέματα: Mathematics.; Computer mathematics.; Mechanics.; Mechanics, Applied.; Computational Mathematics and Numerical Analysis.; Computational Science and Engineering.; Theoretical and Applied Mechanics.
• Φυσική περιγραφή: XIV, 685 p. online resource.
• ISBN: 9783642365195
• ISSN: 0179-3632 ;

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem,  plate problems, elasticity and electromagnetism.