Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines

We develop a T-spline isogeometric boundary element method (IGABEM) (Simpson et al., 2012; Scott et al., 2013; Simpson et al., 2014) to shape sensitivity analysis and gradient-based shape optimization in three dimensional linear elasticity. Contrary to finite element based isogeometric analysis (IGA) approaches, no parametrization of the volume is required. Hence, the iterative optimization algorithm can be implemented directly from CAD without...