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Residual-free bubbles for advection-diffusion problems: the general error analysis

Abstract:
We develop the general a priori error analysis of residual-free bubble finite element approximations to linear elliptic convection-dominated diffusion problems subject to homogeneous Dirichlet boundary condition. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree greater than or equal to 1.

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Publication date:
1998-01-01
URN:
uuid:03a6a69b-90f9-413d-9c2a-c294831899ce
Local pid:
oai:eprints.maths.ox.ac.uk:1305

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