Remesh-free shape optimization using the wavelet-Galerkin method

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Eulerian shape design sensitivity analysis and optimization with a fixed grid (2005, methodology): “[25] performed the design optimization of the torque arm model using the multi-scale wavelet approach that can locally improve the resolution of the solution accuracy.”
Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization (2011, methodology): “Another technique for improving the stiffness approximation of intersected elements is through fitting shape functions to the boundary and using degenerate elements [2].”
Introducing the sequential linear programming level-set method for topology optimization (2015, background): “However, it is known that the approximated stiffness used in the area-fraction fixed grid approach leads to reduced accuracy at the boundary (Jang et al. 2004; Wei et al. 2010; Dunning et al. 2011).”
Shape optimization of 2D structures using simulated annealing (2007, methodology): “Studies on shape optimization [1–87] attest that shape changes may lead to considerable savings in weight and improvements in structural performance.”