Abstract
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.
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© 2004 Springer Science+Business Media New York
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Ern, A., Guermond, JL. (2004). Mixed Problems. In: Theory and Practice of Finite Elements. Applied Mathematical Sciences, vol 159. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4355-5_4
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DOI: https://doi.org/10.1007/978-1-4757-4355-5_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1918-2
Online ISBN: 978-1-4757-4355-5
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