Mixed Finite Element Methods and Applications (Springer Series in Computational Mathematics)

Boffi, Daniele; Brezzi, Franco; Fortin, Michel

ISBN 10: 3642365183 / ISBN 13: 9783642365188

Editore: U.S.A.: Springer, 2013

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Titolo: Mixed Finite Element Methods and ...

Casa editrice: U.S.A.: Springer

Data di pubblicazione: 2013

Legatura: Soft cover

Condizione: New

Condizione sovraccoperta: New

Edizione: 1st Edition

Descrizione articolo

Riassunto:

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.

Recensione:

From the book reviews:

“It is very useful for mathematicians as well as practitioners of finite element methods. The book is divided into 11 chapters.” (Beny Neta, Mathematical Reviews, April, 2014)

“The new book is an extended and corrected revision after 20 years, which is based on the previous material. ... one obtains a quite complete overview on the development of nearly all relevant techniques for the construction of a stable mixed method. This makes this monograph a valuable reference for researchers in the field which may replace the first edition on the bookshelf.” (Christian Wieners, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)