Mixed Finite Element Methods and Applications
Jul 2013 · Springer Series in Computational Mathematics Ibhuku elingu-44 · Springer Science & Business Media
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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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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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.
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