Zürich, September 2022

Philipp Öffner

PD Dr. rer. nat. 



Philipp Öffner is working in the numerical analysis group at the Johannes Gutenberg-University Mainz. Prior to JGU, he was a postdoctoral researcher at the University Zurich, at the Technical University of Brunswick and substituted a professorship in Mainz.  

In his research, he focuses on the analysis and development of numerical methods for ordinary and partial differential equations, in particular for hyperbolic conservation/balance laws. He is interested in stability properties, the preservation of physical constraints and convergence properties of the schemes. He justifies always his theoretical results by numerical simulations. 




Research Interests


  • Computational Fluid Dynamics (CFD)
  • Numerical Methods for Compressible and Incompressible Flows 
  • Time Integration Schemes
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors
  • Scientific Machine Learning
  • High-performance Computing (HPC)

    News:


    • With J. Glaubitz, J. Nordström and S-Ch. Klein, I have published our new preprint "Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction" on arXiv.
    • I have published with Y. Mantri and M. Ricchiuto our new   preprint "Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction" on arXiv.
    • My paper "On the Convergence of Residual Distribution Schemes for the Compressible Euler Equations via Dissipative Weak Solutions" with R. Abgrall and M.

      Lukácova-Medvid’ová has been accepted in "M3AS: Mathematical Models and Methods in Applied Sciences" (27.11.2022).

    • My new preprint "A necessary condition for non oscillatory and positivity preserving time-integration schemes" with Th. Izgin and D. Torlo has been published on arXiv.

    Contact and further informations


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