Lagrangian and moving mesh methods for the convection diffusion equation
Konstantinos Chrysafinos, Noel J. Walkington (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose and analyze a semi Lagrangian method for the convection-diffusion equation. Error estimates for both semi and fully discrete finite element approximations are obtained for convection dominated flows. The estimates are posed in terms of the projections constructed in [Chrysafinos and Walkington, (2006) 2478–2499; Chrysafinos and Walkington, (2006) 349–366] and the dependence of various constants upon the diffusion parameter is characterized. Error estimates independent...