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A Sharp $$\alpha $$-Robust $$L^\infty (H^1)$$ Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov $$L2-1_\sigma $$ Scheme and a Standard FEM

Chaobao Huang, Martin Stynes

2022Journal of Scientific Computing48 citationsDOI

Topics & Concepts

MathematicsGronwall's inequalityBounded functionUpper and lower boundsBoundary (topology)Mathematical analysisDomain (mathematical analysis)Finite element methodBoundary value problemApplied mathematicsInequalityPhysicsThermodynamicsDifferential Equations and Numerical MethodsAdvanced Mathematical Modeling in EngineeringAdvanced Numerical Methods in Computational Mathematics
A Sharp $\alpha $-Robust $L^\infty (H^1)$ Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov $L2-1_\sigma $ Scheme and a Standard FEM | Litcius