54 citations · 98 across the 4 of their papers we have counts for
4 papers
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.…
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…
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…
A discontinuous Poisson--Boltzmann equation with interfacial transfer: homogenisation and residual error estimate
Klemens Fellner, Victor Kovtunenko
A nonlinear Poisson--Boltzmann equation with transmission boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potentia…