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Mixed Finite Element Methods and Applications

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Boffi, Daniele (Auteur), Brezzi, Franco (Auteur), Fortin, Michel (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Édition:1st ed. 2013.
Collection:Springer Series in Computational Mathematics, 44
Sujets:
Accès en ligne:Texto Completo
Description
Résumé: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.
Description matérielle:XIV, 685 p. online resource.
ISBN:9783642365195
ISSN:2198-3712 ;