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Hanging nodes in the Context of Algebraic Stabilizations for Convection-Diffusion Equations

07/16/2020

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by Abhinav Jha, et al.

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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.

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