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Analysis of mixed finite elements methods for the Stokes problem: a unified approach


Author: Rolf Stenberg
Journal: Math. Comp. 42 (1984), 9-23
MSC: Primary 76-08; Secondary 76D07
DOI: https://doi.org/10.1090/S0025-5718-1984-0725982-9
MathSciNet review: 725982
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Abstract: 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.


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DOI: https://doi.org/10.1090/S0025-5718-1984-0725982-9
Article copyright: © Copyright 1984 American Mathematical Society

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