Zürich, September 2022

Philipp Öffner

PD Dr. rer. nat. 

I currently hold a position as an interim professor within the numerical analysis group at Johannes Gutenberg University Mainz. Prior to joining JGU, I worked as a postdoctoral researcher at both the University of Zurich and the Technical University of Brunswick.

My research primarily revolves around the examination and advancement of numerical techniques applicable to ordinary and partial differential equations, with a specific focus on hyperbolic conservation/balance laws. I dedicate my efforts to exploring stability characteristics, the maintenance of physical constraints, and the approximation and convergence properties of these methods. To support my theoretical findings, I consistently complement them with numerical simulations.

Research Interests

  • Numerical Methods for Compressible Flows (Continuous and Discontinuous Galerkin, Residual Distribution, Flux Reconstruction, Finite Difference, Finite Volume, Global and Local Radial Basis Function Methods)
  • Time Integration Schemes (Runge-Kutta, Deferred Correction, ADER, modified Patankar and GeCo schemes)
  • Uncertainty Quantification 
  • Approximation Theory
  • Computational Fluid Dynamics (CFD)
  • Data-driven approaches combining analysis and data
  • Scientific Machine Learning 


    • My paper with D. Hillebrand and S.-Ch. Klein about

      "Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes" has been published "Springer Journal of Scientific Computing" (7.9.2023). It can be found here.

    • With Dmitri Kuzmin and Mária Lukácová-Medvidová, we have submitted our paper "Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems". The paper can be found on Arxiv (30.08.2023). 
    • Finally, my habilitation was published by Springer Spektrum. It can be found here.
    • On July 26, 2023, the DFG made the decision to approve funding for my project, which is titled "Dissipative Weak Solutions for Non-Viscous Single- and Multiphase Flows."

    • The DFG will award funding to my project on "Dissipative solutions for the Navier-Stokes-Korteweg system and their numerical treatment" over the next three years. The project is together with J. Giesselmann from the TU Darmstadt. It falls within the scope of the DFG's priority research program called "Complexity, Scales, Randomness" (CoScaRa)

    Contact and further informations

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