Numerical method for shape optimization using T-spline based isogeometric method

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Shape optimization of continua using NURBS as basis functions (2013, methodology): “[11,14] presented a numerical method for computing the derivatives of cost functions with respect to the coordinates of control points by using the velocity field due to the variation of each control point in the formulae of shape derivatives for domain and boundary integrals.”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “Isogeometric Analysis has already been introduced successfully and discussed for shape optimization in [29, 50, 70, 105] and we believe that it also represents a potentially effective numerical approximation method for topology optimization problems.”
Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity (2016, methodology): “The application of IGA in shape optimization can be found in [47, 48, 49, 50, 51].”