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Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations

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arxiv 2404.02804 v1 pith:Q6XVU5TS submitted 2024-04-03 math.NA cs.NA

Abhinav Jha This is my paper · ORCID
classification math.NAcs.NA
keywords algebraicerrorestimatorsposterioriresidual-basedschemesstabilizationaccuracy
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In this note, we extend the analysis for the residual-based a posteriori error estimators in the energy norm defined for the algebraic flux correction (AFC) schemes [Jha20.CAMWA] to the newly proposed algebraic stabilization schemes [JK21.NM, Kn23.NA]. Numerical simulations on adaptively refined grids are performed in two dimensions showing the higher efficiency of an algebraic stabilization with similar accuracy compared with an AFC scheme.

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