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

    News:


    • Yesterday (9.11.2021), I spoke about "Entropy Stable Residual Distribution schemes" at Darthmourth College (USA). 
    • My new preprint on "An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations" with M. Ciallella, L. Micalizzi, and D. Torlo is out on Arxiv.
    • From 18.10-29.10.2021, I am staying at Inria Bordeaux working with members of the Cardamom Team on numerical methods for  Shallow Water equations. 
    • I participated in the Hirschegg Workshop (Austria) and gave the talk  "Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions". 

    Contact and further informations


    You can find further information on