Shape optimization and its extension to topological design based on isogeometric analysis

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Topology optimization using B-spline finite elements (2011, methodology): “Recently, there has been significant research effort using isogeometric method for shape optimization (Wall et al.2008 ;C ho and Ha2009) as well as for shape and topology optimization ( Seo et al. 2010 ).”
Bounding the influence of domain parameterization and knot spacing on numerical stability in Isogeometric Analysis (2014, methodology): “In [23] [24] [25] [26] the authors discuss various methods for shape optimization of different domains .”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “Recently, Isogeometric Analysis has been used in [91] to solve design optimization problems to generate optimal two–dimensional structures by means of a procedure based on trimmed curves; this concept is further extended in [90] for topology optimization problems.”
Shape optimization of continua using NURBS as basis functions (2013, methodology): “extended the approach of shape optimization by selecting the coordinates of control points as design variables to the topology optimization problem using trimming spline curves[33].”