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• W3171661331 abstract "In this work, we propose a residual-based a posteriori error estimator for algebraic flux-corrected (AFC) schemes for stationary convection-diffusion equations. A global upper bound is derived for the error in the energy norm for a general choice of the limiter, which defines the nonlinear stabilization term. In the diffusion-dominated regime, the estimator has the same convergence properties as the true error. A second approach is discussed, where the upper bound is derived in a posteriori way using the Streamline Upwind Petrov Galerkin (SUPG) estimator proposed in [20]. Numerical examples study the effectivity index and the adaptive grid refinement for two limiters in two dimensions." @default.
• W3171661331 created "2021-06-22" @default.
• W3171661331 creator A5011706761 @default.
• W3171661331 date "2021-09-01" @default.
• W3171661331 modified "2023-09-25" @default.
• W3171661331 title "A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations" @default.
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• W3171661331 doi "https://doi.org/10.1016/j.camwa.2021.05.031" @default.
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