| Research Interests | (Localized) Model Order Reduction and reduced basis methods Theory and numerics of Friedrichs' systems Optimally stable discretizations, Discontinuous Petrov-Galerkin (DPG) methods, First-order least-squares methods |
| Current Talks | • Efficient linear Model Order Reduction for Friedrichs’ systems. Model Reduction and Surrogate Modeling (MORe) 2024, La Jolla Link to event • Custom linear algebra backends: Using pyMOR with dune-istl. pyMOR School and User meeting 2024, Münster Link to event • Model Order Reduction for Friedrichs' systems. Minisymposium on 'New Trends in Model Order Reduction and Learning' at ALGORITMY 2024, Podbanske Link to event • Model Order Reduction for Friedrichs' systems. YMMOR - Young Mathematicians in Model Order Reduction, Stuttgart Link to event • Model order reduction for inf-sup-stable problems using optimally stable discretization schemes. Posterpresentation at MORTech 2023, Paris-Saclay Link to event • Friedrichs' systems and their use in model order reduction. Oberseminar Numerik, Münster Link to event • An optimally stable numerical scheme for reactive transport. Posterpresentation at Finite Volumes for Complex Applications 10 (FVCA10), Strasbourg Link to event • Representation of parametric PDEs in Dune-PDELab and application to model order reduction. 7th DUNE user meeting, Dresden Link to event • Model order reduction for reaction-advection problems. Minisymposium on 'Reducing the irreducible: model reduction for transport-dominated problems' at ENUMATH 2023, Lisbon Link to event |
| Current Publications | • Kleikamp, Hendrik; Renelt, Lukas Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems. , 2024 online • Engwer,Christian; Ohlberger, Mario; Renelt, Lukas Construction of local reduced spaces for Friedrichs' systems via randomized training. , 2024 online • Renelt, Lukas; Ohlberger, Mario; Engwer, Christian An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related ProblemsSpringer Proceedings in Mathematics & Statistics Vol. 2, 2023 online • Engwer, Christian; Ohlberger, Mario; Renelt, Lukas Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. , 2023 online • Renelt, Lukas; Ohlberger, Mario; Engwer, Christian An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related ProblemsSpringer Proceedings in Mathematics & Statistics Vol. 2, 2023 online | lukas dot renelt at uni-muenster dot de |
| Phone | +49 251 83-36860 |
| FAX | +49 251 83-32729 |
| Room | 110.006 |
| Secretary | Sekretariat Wernke Frau Silvia Wernke Telefon +49 251 83-35052 Fax +49 251 83-32729 Zimmer 120.001 |
| Address | Herr Lukas Renelt Angewandte Mathematik Münster: Institut für Analysis und Numerik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster |
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