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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★ 16 cited
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…
math.OC2015★ 54 cited
A shape-topological control problem for nonlinear crack - defect interaction: the anti-plane variational model
Victor A. Kovtunenko, Günter Leugering
We consider the shape-topological control of a singularly perturbed variational inequality. The geometry-dependent state problem that we address in this paper concerns a heterogene…