Universität Augsburg
|
Professor Dr. Constantin Christof
Universität Augsburg
spricht am
Donnerstag, 27. Oktober 2022
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
This talk is concerned with generalized differentiability properties of solution operators of elliptic obstacle-type variational inequalities. We prove that such operators are semismooth when considered as maps between suitable Lebesgue spaces and equipped with the strong-weak Bouligand differential as a generalized set-valued derivative. It is shown that this semismoothness allows to solve optimal control problems with H1-cost terms and one-sided pointwise control constraints by means of a semismooth Newton method. The q-superlinear convergence of the resulting algorithm is established in the infinite-dimensional setting and its mesh independence is demonstrated in numerical experiments. The talk concludes with comments on further applications of the derived results in the context of quasi-variational inequalities and the optimal control of contact problems. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Malte Peter |