An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier–Stokes flows

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Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations (2015, methodology): “The chance to apply the supremizer enrichment also within a POD context, shown in this work, makes POD a viable alternative to greedy RB methods in order to recover pressure fields whenever (i) an accurate and rapid error bound is not available or (ii) lower bound to parametrized stability factors i”
Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, methodology): “Recent research in this field has been spurred by advances in proper orthogonal decomposition and reduced basis finite element methods [Kunisch and Volkwein, 2001; Vermeulen et al., 2004; Grepl and Patera, 2005; Bui-Thanh et al., 2008; Quarteroni et al., 2011; Manzoni, 2014].”