Overview
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.
Full Product Details
Author: Daniele Boffi ,
Franco Brezzi ,
Michel Fortin
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2013 ed.
Volume: 44
Dimensions:
Width: 15.50cm
, Height: 3.80cm
, Length: 23.50cm
Weight: 1.208kg
ISBN: 9783642365188
ISBN 10: 3642365183
Pages: 685
Publication Date: 14 July 2013
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
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 fur Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)
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 fur Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)
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)
Author Information
Franco Brezzi is Editor-in-Chief of the journal Numerische Mathematik and co-author of several Springer books, among others the classical book SSCM Vol. 15 ""Mixed and Hybrid Finite Element Methods"" with Michel Fortin.
