Philipp Öffner

PD Dr. rer. nat. 

Hi, my name is Philipp Öffner. Currently, I am working in the numerical analysis group at the Johannes Gutenberg-University Mainz. 

Prior to JGU, I was a postdoctoral researcher at the University Zurich, at the Technical University of Brunswick and substituted a professorship in Mainz.  

In my research, I focus on the analysis and development of numerical methods for partial differential equations, especially for hyperbolic conservation/balance laws. 

In particular, I am interested in stability properties, the preservation of physical constraints and convergence properties. 

Research Interests

  • Computational Fluid Dynamics (CFD)
  • Numerical Methods for Compressible and Incompressible Flows:  Continuous and Discontinuous Galerkin, Flux Reconstruction, Residual Distribution Schemes
  • Time Integration Schemes: Deferred Correction Methods, Runge-Kutta Schemes, ADER-Approach
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors


    • I participated in the Hirschegg Workshop (Austria) and gave the talk  "Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions". 
    • Yesterday (26.8.2021), I spoke about "Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions" at the

      BIRS-CMO workshop. My talk is also online and can be watched. If you have questions, let me know. 

    • My new preprint "A New Stability Approach for Positivity-Preserving Patankar-type Schemes" with Davide Torlo and Hendrik Ranocha is on ArXiv. 
    • Today (27.7.2021), I have finally got my certificate from Zurich. My habiliation is finished now.   

    Contact and further informations

    You can find further information on