Istituto di Matematica Applicata e Tecnologie Informatiche     
Brezzi F., Marini D. Error estimates for the three-field formulation with bubble stabilization. Preprint ercim.cnr.ian//1998-1116, 1998.
We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form $(eps A + C)u = f$ subject to homogeneous Dirichlet boundary condition, where $A$ is a symmetric second-order elliptic operator, $C$ is a skew-symmetric first-order differential operator, and $eps$ is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree $kgeq 1$.
Subject Residual-free bubbles, finite elements

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