4 papers
Existence, iteration procedures and directional differentiability for parabolic QVIs
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumptions on the obstacle mapping, we prove the existence of solutions of such QVIs b…
Stability of the solution set of quasi-variational inequalities and optimal control
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
For a class of quasi-variational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal contro…
Quantitative Magnetic Resonance Imaging: From Fingerprinting to Integrated Physics-Based Models
Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros
Quantitative magnetic resonance imaging (qMRI) is concerned with estimating (in physical units) values of magnetic and tissue parameters e.g., relaxation times , , or pro…
Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System with Non-Matched Fluid Densities
Michael Hintermüller, Tobias Keil, Donat Wegner
This paper is concerned with the distributed optimal control of a time-discrete Cahn--Hilliard/Navier--Stokes system with variable densities. It focuses on the double-obstacle pote…