Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in R with Dirichlet Boundary Conditions. I: A Priori Error Analysis

Abstract

We consider a non-standard mixed method for the Stokes problem in Rn, n∈ {2,3}, with Dirichlet boundary conditions, in which, after using the incompressibility condition to eliminate the pressure, the pseudostress tensor σ and the velocity vector u become the only unknowns. Then, we apply the Babuška-Brezzi theory to prove the well-posedness of the… (More)

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