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math.OC2022★ 8 cited
Space Mapping for PDE Constrained Shape Optimization
Sebastian Blauth
The space mapping technique is used to efficiently solve complex optimization problems. It combines the accuracy of fine model simulations with the speed of coarse model optimizati…
math.OC2022★ 1 cited
Shape Optimization with Nonlinear Conjugate Gradient Methods
Sebastian Blauth
In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corres…