Adaptivity and variational stabilization for convection-diffusion equations
Albert Cohen, Wolfgang Dahmen, Gerrit Welper (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we propose and analyze stable variational formulations for convection diffusion problems starting from concepts introduced by Sangalli. We derive efficient and reliable error estimators that are based on these formulations. The analysis of resulting adaptive solution concepts, when specialized to the setting suggested by Sangalli’s work, reveals partly unexpected phenomena related to the specific nature of the norms induced by the variational formulation. Several remedies,...