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Mathematics - Computational Science & Engineering | Mixed Finite Element Methods and Applications

Mixed Finite Element Methods and Applications

Boffi, Daniele, Brezzi, Franco, Fortin, Michel

2013, XIV, 685 p. 67 illus.

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  • A self contained presentation of the mathematical theory of mixed FEM
  • Applications to elliptic problems, elasticity, electromagnetism, Stokes' problem
  • An augmented version of a classical book​

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.

Content Level » Research

Keywords » Stokes' problem - elliptic problems - finite element - linear elasticity - mixed hybrid

Related subjects » Computational Science & Engineering - Mechanics

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