A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations

In this work, we propose a residual-based posteriori error estimator for algebraic flux-corrected (AFC) schemes stationary convection-diffusion equations. A global upper bound is derived the in energy norm general choice of limiter, which defines nonlinear stabilization term. diffusion-dominated regime, has same convergence properties as true error. second approach discussed, where way using Streamline Upwind Petrov Galerkin (SUPG) proposed [20]. Numerical examples study effectivity index and adaptive grid refinement two limiters dimensions.