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Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics

Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics

Recent progress in PDE constrained optimization on shape manifolds is based on the Hadamard form of shape derivatives, i.e., in the form of integrals at the boundary of the shape under investigation, as well as on intrinsic shape metrics. From a numerical point of view, domain integral forms of shape …