Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics

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High‐order CFD methods: current status and perspective (2013, background): “Output adjoint-based, entropy-based, and residual-based error indicators [39] have demonstrated their effectiveness.”
Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations (2014, methodology): “In contrast, most implementations of the dualweighted residual method require an approximation to the adjoint on a refined space [95, 96, 97, 98, 99].”
A review of flux reconstruction or correction procedure via reconstruction method for the Navier-Stokes equations (2016, background): “There have been significant progress in the past decades on error estimates and hp-adaptations, and we refer interested readers to the recent review by Fidkowski and Darmofal (2011) for more details.”