Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

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Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems (2013, background): “But a posteriori error estimators have a non trivial computational overhead when recovery techniques are used [56], or when equilibrated fluxes must be computed [57] and also in flux-free implementations [58].”
Accurate recovery-based upper error bounds for the extended finite element framework (2010, methodology): “[31] introduces a recovery-based technique that provides practical upper error bounds for the FEM framework.”