• Research Areas

    • (Localized) Model Order Reduction and reduced basis methods
    • Friedrichs' systems, ultraweak formulations and optimally stable discretizations
    • Discontinuous Petrov-Galerkin (DPG) methods

  • Education

    MSc. Mathematics with minor in computer science, Westfälische Wilhelms-Universität Münster
    BSc. Mathematics with minor in computer science, Westfälische Wilhelms-Universität Münster

  • Teaching

  • Publications

  • Talks

    • Renelt, Lukas (): ‘Model Order Reduction for Friedrichs' systems’. Minisymposium on 'New Trends in Model Order Reduction and Learning' at ALGORITMY 2024, Podbanske, .
    • Renelt, Lukas (): ‘Model Order Reduction for Friedrichs' systems’. YMMOR - Young Mathematicians in Model Order Reduction, Stuttgart, .

    Scientific Talks
    • Renelt, Lukas (): ‘Model order reduction for inf-sup-stable problems using optimally stable discretization schemes’. Posterpresentation at MORTech 2023 (École normale supérieure Paris-Saclay), Paris-Saclay, .
    • Renelt, Lukas (): ‘Friedrichs' systems and their use in model order reduction’. Oberseminar Numerik, Münster, .
    • Renelt, Lukas (): ‘An optimally stable numerical scheme for reactive transport’. Posterpresentation at Finite Volumes for Complex Applications 10 (FVCA10) (Université de Strasbourg), Strasbourg, .
    • Renelt, Lukas (): ‘Model order reduction for reaction-advection problems’. Minisymposium on 'Reducing the irreducible: model reduction for transport-dominated problems' at ENUMATH 2023, Lisbon, .
    • Renelt, Lukas (): ‘An optimally stable discretization scheme for parametrized convection-dominated problems’. Minisymposium on 'Numerical methods for differential equations' at GAMM 93rd annual meeting, Dresden, .
    • Renelt, Lukas (): ‘Localized Model Order Reduction for convection-dominated problems using an optimally stable discretization’. YMMOR - Young Mathematicians in Model Order Reduction, Ulm, .
    Practical Talks
    • Renelt, Lukas (): ‘Representation of parametric PDEs in Dune-PDELab and application to model order reduction’. 7th DUNE user meeting, Dresden, .

    Scientific Talks
    • Renelt, Lukas (): ‘Localized MOR for advection-dominated convection-diffusion problems’. YMMOR - Young Mathematicians in Model Order Reduction, Münster, .
    Practical Talks
    • Keil, Tim; Renelt, Lukas (): ‘Introduction to the Reduced Basis Method’. YMMOR - Young Mathematicians in Model Order Reduction, Münster, .

The YMMOR conference format

The YMMOR (Young Mathematicians in Model Order Reduction) is a conference format aimed at PhD students and early Postdocs working in the field of Model Order Reduction. More experienced researchers such as professors are explicitly not a part of both organisation and realisation of the conference in order to foster the informal atmosphere. The first two iterations in Münster (2022) and Ulm (2023) both were well received by the approximately 40 international participants. The next will take place from March 4-8 in Stuttgart, Germany (conference website).

The sustainability of the conference format is ensured by the YMMOR committee which also serves for connecting young researchers from different workgroups. I am a member of the committee and currently also responsible for the acquisition of new members. If you are interested you are very welcome to contact me!