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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…
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…