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Journal name:
Springer Series in Computational Mathematics
The mathematical basis of FEMs for incompressible steady interior flow problems is examined in a text (a revised and expanded version of the work of Girault and Raviart, 1979) intended for a postgraduate course in numerical analysis. Chapters are devoted to the mathematical foundation of the Stokes problem, results obtained with a standard FEM approximation, the numerical solution of the Stokes problem in primitive variables, incompressible mixed FEMs for solving the Stokes problem, and the theory and approximation of the Navier-Stokes problem.
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