Finite Elements for the Stokes Problem

Finite Elements for the Stokes Problem Daniele Boffi1, Franco Brezzi2, and Michel Fortin3 1 Dipartimento di Matematica “F. Casorati”, Universita degli studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy 2 Istituto Universitario di Studi Superiori (IUSS) and I.M.A.T.I.–C.N.R., Via Ferrata 3, 27100 Pavia Pavia, Italy 3 Departement de Mathematiques et de Statistique, Pavillon Alexandre-Vachon, Universite Laval, 1045, Avenue de la Me decine, Quebec G1V 0A6, Canada mfortin@mat.

• piecewise constants for the pressures
• optimal approximation of the pressures by virtue of the unbalanced approxima- tion properties of the discrete spaces
• approxi- mation properties
• stokes problem
• constraint ratio
• discrete divergence
• approximation
• solution