Mixed Finite Element Methods and Applications

Released on by Daniele Boffi
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  • Mixed Finite Element Methods and Applications Book Detail

  • Author : Daniele Boffi
  • Release Date : 2013-07-02
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 692
  • ISBN 13 : 3642365191
  • File Size : 84,84 MB
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Mixed Finite Element Methods and Applications by Daniele Boffi PDF Summary

Book Description: 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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Mixed and Hybrid Finite Element Methods

Mixed and Hybrid Finite Element Methods

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Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taki