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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1939)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems.
This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Authors, Editors and Affiliations
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Dipartimento di Matematica, Università degli Studi di Brescia, Italy
Lucia Gastaldi, Daniele Boffi
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Istituto Universitario di Studi Superiori, Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R, 27100, Italy
Franco Brezzi
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Institute for Computational Engineering and Sciences, The University of Texas at Austin, 78712, Austin, USA
Leszek F. Demkowicz
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Departamento de Matemática, Universidad de Buenos Aires, 1428, Argentina
Ricardo G. Durán
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Department of Mathematics, The State University of New Jersey, 08854-801, Piscataway, USA
Richard S. Falk
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Département de mathématiques et de statistique, Pavillon Alexandre-Vachon Université Laval, Québec, Canada
Michel Fortin
Bibliographic Information
Book Title: Mixed Finite Elements, Compatibility Conditions, and Applications
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 26 - July 1, 2006
Authors: Daniele Boffi, Franco Brezzi, Leszek F. Demkowicz, Ricardo G. Durán, Richard S. Falk, Michel Fortin
Editors: Daniele Boffi, Lucia Gastaldi
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-78319-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-78314-5Published: 14 April 2008
eBook ISBN: 978-3-540-78319-0Published: 01 April 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 244
Number of Illustrations: 36 b/w illustrations
Topics: Numerical Analysis, Partial Differential Equations, Numerical and Computational Physics, Simulation, Classical and Continuum Physics, Global Analysis and Analysis on Manifolds