3 papers
math.OC2026
Directional differentiability for solution operators of sweeping processes with convex polyhedral admissible sets
Martin Brokate, Constantin Christof
We study directional differentiability properties of solution operators of rate-independent evolution variational inequalities with full-dimensional convex polyhedral admissible se…
math.OC2024
Optimal Control of Semilinear Elliptic Partial Differential Equations with Non-Lipschitzian Nonlinearities
Constantin Christof
We study optimal control problems that are governed by semilinear elliptic partial differential equations that involve non-Lipschitzian nonlinearities. It is shown that, for a cert…
math.NA2024
A Globalized Inexact Semismooth Newton Method for Nonsmooth Fixed-point Equations involving Variational Inequalities
Amal Alphonse, Constantin Christof, Michael Hintermüller +1
We develop a semismooth Newton framework for the numerical solution of fixed-point equations that are posed in Banach spaces. The framework is motivated by applications in the fiel…