Levelset based fluid topology optimization using the extended finite element method

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Topology optimization approaches (2013, methodology): “…various kinds of generalized and adaptive finite element schemes, such as the extended finite element method (xFEM) (Van Miegroet and Duysinx 2007; Kreissl and Maute 2012; Wei et al. 2010), the super-imposed finite element method (Wang and Wang 2006a; Wang et al. 2007), and local remeshing…”
Stress-based topology optimization using spatial gradient stabilized XFEM (2017, background): “The linear filter (2) widens the zone of influence of the design variable on the level set field resulting in enhanced convergence of the optimization process (Kreissl and Maute 2012).”
Level set topology optimization of structural problems with interface cohesion (2017, methodology): “Following the approach of [61], to increase design freedom, the domain is discretized by finite elements and one optimization variable is associated with each finite element node, that is, Ns = Nn, where Nn is the number of nodes.”