In this work, we propose an investigation of hanging nodes in the context of a posteriori error estimator for algebraic flux-corrected (AFC) schemes for stationary convection-diffusion equations. Results have also been presented for the handling of grids with hanging nodes for higher-order Lagrange elements. Numerical simulation illustrating the satisfaction and the violation of  discrete maximum principle (DMP) for the BJK limiter and the Kuzmin limiter, respectively have been presented in two dimensions.
In this work, we investigate hanging nodes in the context of a posteriori error estimators for algebraic flux-correction (AFC) schemes for stationary convection-diffusion equations. Numerical simulations illustrating the satisfaction and the violation of the discrete maximum principle (DMP) for the BJK limiter and the Kuzmin limiter, respectively , are presented in two dimensions.
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Results have also been presented for the handling of grids with hanging nodes for higher-order Lagrange elements. Numerical simulation
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