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On the quadrilateral Q2–P1 element for the Stokes problem

✍ Scribed by Daniele Boffi; Lucia Gastaldi


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
117 KB
Volume
39
Category
Article
ISSN
0271-2091

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The use of mixed ®nite element methods in discretizing the Stokes equations leads to systems involving the so-called pressure matrix. Some new spectral properties of this important matrix are here presented for the Q 1 -P 0 element.

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An analysis of some nonconforming approximations of the Stokes problem is presented. The approximations are based on a strain-pressure variational formulation. In particular, a convergence and stability result for a method recently proposed by Bathe and Pantuso is provided.