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math.OC2022
Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem
Victor A. Kovtunenko, Karl Kunisch
A class of non-smooth and non-convex optimization problems with penalty constraints linked to variational inequalities (VI) is studied with respect to its shape differentiability.…
math.OC2018
Shape differentiability of Lagrangians and application to Stokes problem
V. A. Kovtunenko, K. Ohtsuka
A class of convex constrained minimization problems over polyhedral cones for geometry-dependent quadratic objective functions is considered in a functional analysis framework. Sha…