Mixed Problems

  • Alexandre Ern
  • Jean-Luc Guermond
Part of the Applied Mathematical Sciences book series (AMS, volume 159)


This chapter is concerned with the study of model problems in incompressible fluid and solid mechanics. As opposed to the previous chapter, we now deal with PDEs that are not endowed with a coercivity property. The prototypical situation is that of the Stokes problem modeling incompressible fluid flows at low Reynolds number. More generally, we are concerned with mixed problems in which two dependent variables (say pressure and velocity) play different roles. As a consequence, we are led to approximate the two variables in different finite element spaces.


Bilinear Form Mixed Problem Discrete Problem Stokes Problem Mixed Finite Element 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Alexandre Ern
    • 1
  • Jean-Luc Guermond
    • 2
  1. 1.CERMICS, ENPCMarne la Vallée cedex 2France
  2. 2.LIMSI, CNRSOrsay cedexFrance

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