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 TalksEfficient 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 PublicationsEngwer, Christian; Ohlberger, Mario; Renelt, Lukas Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. SIAM Journal on Scientific Computing Vol. 46 (5), 2024 online
Engwer,Christian; Ohlberger, Mario; Renelt, Lukas Construction of local reduced spaces for Friedrichs' systems via randomized training. , 2024 online
Kleikamp, Hendrik; Renelt, Lukas Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems. , 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
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
E-Maillukas dot renelt at uni-muenster dot de
Phone+49 251 83-36860
FAX+49 251 83-32729
Room110.006
Secretary   Sekretariat Wernke
Frau Silvia Wernke
Telefon +49 251 83-35052
Fax +49 251 83-32729
Zimmer 120.001
AddressHerr 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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