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
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