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Mixed Finite Element Methods and Applications

Mixed Finite Element Methods and Applications by Daniele Boffi
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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.

Springer Berlin Heidelberg; July 2013
691 pages; ISBN 9783642365195
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Title: Mixed Finite Element Methods and Applications
Author: Daniele Boffi; Franco Brezzi; Michel Fortin
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