4 papers · 1 filter
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…
Directional differentiability for elliptic quasi-variational inequalities of obstacle type
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
The directional differentiability of the solution map of obstacle type quasi-variational inequalities (QVIs) with respect to perturbations on the forcing term is studied. The class…