Authors:
- A self contained presentation of the mathematical theory of mixed FEM
- Applications to elliptic problems, elasticity, electromagnetism, Stokes' problem
- An augmented version of a classical book?
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 44)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
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)
Authors and Affiliations
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Dipartimento di Matematica "F. Casorati", University of Pavia, Pavia, Italy
Daniele Boffi
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di Studi Superiori, IUSS - Istituto Universitario, Pavia, Italy
Franco Brezzi
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Dépt. Mathematique et Statistique, Université Laval, Quebec, Canada
Michel Fortin
About the authors
Bibliographic Information
Book Title: Mixed Finite Element Methods and Applications
Authors: Daniele Boffi, Franco Brezzi, Michel Fortin
Series Title: Springer Series in Computational Mathematics
DOI: https://doi.org/10.1007/978-3-642-36519-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-36518-8Published: 14 July 2013
Softcover ISBN: 978-3-642-43602-4Published: 09 August 2015
eBook ISBN: 978-3-642-36519-5Published: 02 July 2013
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: XIV, 685
Topics: Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Theoretical and Applied Mechanics