Optimal shapes of mechanically motivated surfaces

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A gradient-based shape optimization scheme using an interface-enriched generalized FEM (2015, methodology): “Filtering techniques were also proposed to ensure boundary smoothness [11] [12] [13] [14].”
Full analytical sensitivities in NURBS based isogeometric shape optimization (2010, methodology): “More sophisticated mesh smoothing methods such as those used for addressing the problem of “floating meshes” [26] can perhaps be developed to insert the knots in an efficient manner that would result in a more uniformly distributed elements with fewer knot insertions.”
The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches (2010, background): “Thin shells have an optimal load-carrying behavior and therefore allow the construction of highly efficient light-weight structures [32, 33].”