Zürich, September 2022
Philipp Öffner
PD Dr. rer. nat.
I am an acting professor at the numerical analysis group at Johannes Gutenberg University Mainz. Before JGU, I was a postdoctoral researcher at the University of Zurich and the Technical University of Brunswick.
In my research, I focus on the analysis and development of numerical methods for ordinary and partial differential equations, in particular for hyperbolic conservation/balance laws. I am interested in stability properties, the preservation of physical constraints and convergence properties of the schemes. I justify always my theoretical results with numerical simulations.
Research Interests
- Computational Fluid Dynamics (CFD)
- Numerical Methods for Compressible 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. Bender (University Kassel), I have submitted the paper on "Entropy-conservative and well-balanced discontinuous Galerkin methods for the shallow water equations with uncertainty" to the special issue to honour Remi Abgrall. The preprint can be found here.
- 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).
Contact and further informations
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