PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Brezzi F., Marini D., Suli E. Residual-free bubbles for advection-diffusion problems: the general error analysis. Preprint ercim.cnr.ian//1998-1115, 1998.
 
 
Abstract
(English)
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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