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 (Continuous and Discontinuous Galerkin, Flux Reconstruction, Residual Distribution)
  • Time Integration Schemes (Deferred Correction, Runge-Kutta, ADER)
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors
  • Machine Learning
  • High-performance Computing (HPC)

    News:


    • My article with  D. Torlo and H. Ranocha on "Issues of positivity preserving Patankar schemes" has been accepted in APNUM. 
    • With R. Abgrall and M. Lukácová-Medvidová, I have submitted the article "On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions". 
    • In the week (19.6-26.6.2022), I will be at the HYP- Conference in Malaga and present my work on dissipative weak solutions in context of FE methods.  
    • With Thomas Izgin, I have submitted the article "On the Stability of Modified Patankar Methods". The preprint is on ArXiv

    Contact and further informations


    You can find further information on