Mittwoch, den 08. Januar 2025, Konferenzraum (R107), 17 Uhr s.t.
Prof. Dr. Thomas Wick, Institut für Angewandte Mathematik der Leibniz Universität Hannover spricht über das Thema:"Model Order Reduction Dual-Weighted Residuals: space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals"
Abstract: In this presentation, we utilize space-time formulations and space-time Galerkin finite element discretizations to treat single PDEs and linear-coupled PDEs. The objective is to prepare for incremental orthogonal proper decomposition as model order reduction technique in order to reduce the computational cost. In incremental orthogonal proper decomposition, new full order model snapshots are only added to the reduced model if some error tolerance exceeds a treshold. The error evaluation is based on goal-oriented concepts in which the goal functional represents some physics-inspired quantity of interest. This is realized as an optimal control problem in which the PDE serves as a constraint by minimizing the goal functional error between the full order model and the reduced order model. To this end, a backwards-in-time adjoint problem
must be computed. The algorithmic advancements are demonstrated for model problems such as the heat equation as well as benchmarks in porous media such as a three-dimensional footing problem.
Bereits ab 16:30 Uhr gibt es für alle Interessierten die Möglichkeit zu einem Gespräch bei Kaffee und Tee im Sitzungszimmer (R206).
Olaf Ippisch
Veranstalter: Institut für Mathematik, Erzstraße 1, 38678 Clausthal-Zellerfeld