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Published 1985 | public
Journal Article

A variational formulation for convection-diffusion problems

Ortiz, M. ORCID icon


A variational principle is proposed that under certain restrictions is shown to be equivalent to the advection-diffusion boundary value problem. Based on this variational principle, an upwind finite element method is derived that precludes spurious oscillations while possessing optimal convergence properties even in the multidimensional case. The formulation also points to a canonical choice of weighting functions for the Petrov-Galerkin method proposed by the Dundee and Swansea groups.

Additional Information

© 1985 Elsevier. (Received 31 March 1984)

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August 19, 2023
October 18, 2023