Mixed Finite Element Methods and Applications

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Computers, Advanced Computing, Computer Science
Cover of the book Mixed Finite Element Methods and Applications by Daniele Boffi, Franco Brezzi, Michel Fortin, Springer Berlin Heidelberg
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Author: Daniele Boffi, Franco Brezzi, Michel Fortin ISBN: 9783642365195
Publisher: Springer Berlin Heidelberg Publication: July 2, 2013
Imprint: Springer Language: English
Author: Daniele Boffi, Franco Brezzi, Michel Fortin
ISBN: 9783642365195
Publisher: Springer Berlin Heidelberg
Publication: July 2, 2013
Imprint: Springer
Language: English

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.

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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.

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