n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method

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Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations (2010, methodology): “Isogeometric analysis is a generalization of nite element analysis possessing several advantages [6,7,18, 24 ,33,38,50].”
Isogeometric design of elastic arches for maximum fundamental frequency (2011, background): “The superiority of the isogeometric framework over standard polynomial-based finite element analysis is argued from numerous perspectives as discussed in Bazilevs et al. (2006) and Evans et al. (2009).”
Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique (2013, methodology): “Numerical tests shown in literature and the studies (Hughes et al., 2008; Evans et al., 2009; Beirão da Veiga et al., 2011) proved that higher smoothness is advantageous.”
Mathematical analysis of variational isogeometric methods* (2014, background): “The exploratory study in Evans et al. (2009) seems to show that this result is indeed sub-optimal.”
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (2012, unknown): “[0,0,0,1] [0,1,2,3] [1,2,3,4] [2,3,4,5] [3,4,5,6]”