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Mixed Finite Element Methods and Applications

Mixed Finite Element Methods and Applications

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Springer Series in Computational Mathematics

Mixed Finite Element Methods and Applications

Daniele Boffi | Franco Brezzi | Michel Fortin

Mathematics / Numerical Analysis

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.

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.

Publication Date: 14 July 2013
Publisher: Springer Berlin Heidelberg
Imprint: Springer
ISBN-13: 9783642365188
Format: Hardback
Page Count: 685

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