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Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
Mathematics of Computation
Vol. 42, No. 165 (Jan., 1984), pp. 9-23
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2007557
Page Count: 15
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We develop a method for the analysis of mixed finite element methods for the Stokes problem in the velocity-pressure formulation. A technical "macroelement condition", which is sufficient for the classical Babuška-Brezzi inequality to be valid, is introduced. Using this condition, we are able to verify the stability, and optimal order of convergence, of several known mixed finite element methods.
Mathematics of Computation © 1984 American Mathematical Society