Short CV
- 2023– now Post-Doc @ University Of Vienna
- 2021–2023 Post-Doc @ Georg-August-Universität Göttingen
- 2017–2021 PhD @ University Of Vienna
- 2016–2018 Mathematics and Models @ riskine GmbH
- 2014–2017 MSc Applied Mathematics @ University Of Vienna
- 2011–2014 BSc Mathematics @ University Of Vienna
Advanced applications & analysis of Trefftz methods
The goal of this project is to turn Trefftz methods into a versatile and widely usable tool in numerical simulation.
Project details
| 🎓 Funding program | ESPRIT |
| ⏳ Status | ongoing |
| 🚀 Start | July 1, 2024 |
| 🏁 End | June 30, 2027 |
| 💶 Funding amount | 340819 € |
| 🏢 Host institution | University of Vienna |
| 👤 Principal Investigator | Paul Stocker |
| 🌐 Grant website | fwf.ac.at |
| 🔗 Grant DOI | 10.55776/ESP4389824 |
Publications
- A unified framework for Trefftz-like discretization methods
Philip L. Lederer, Christoph Lehrenfeld, PS, Igor Voulis
arXiv:2412.00806, 2024 [pdf,cite] - Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation
Sergio Gómez, Chiara Perinati, PS
J. Sci. Comput., 2024 [pdf,cite] - Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
Lise-Marie Imbert-Gérard, Andrea Moiola, Chiara Perinati, PS
IMA J. Numer. Anal., 2024 [pdf,cite] - Sparsity comparison of polytopal finite element methods
Christoph Lehrenfeld, PS, Maximilian Zienecker
Proceedings Appl. Math. Mech., 2024 [pdf,cite] - Trefftz Discontinuous Galerkin discretization for the Stokes problem
Philip L. Lederer, Christoph Lehrenfeld, PS
Numer. Math., 2023 [pdf,cite] - On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation
Sergio Gómez, Andrea Moiola, Ilaria Perugia, PS
Appl. Math. Lett., 2023 [pdf,cite] - Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems
Fabian Heimann, Christoph Lehrenfeld, PS, Henry von Wahl
ESAIM: M2AN, 2022 [pdf,cite] - A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation
Martin Halla, Christoph Lehrenfeld, PS
IMA J. Numer. Anal., 2022 [pdf,cite,slides] - Robust finite element discretizations for a simplified Galbrun's equation
Tilman Alemán, Martin Halla, Christoph Lehrenfeld, PS
eccomas2022, 2022 [pdf,cite] - NGSTrefftz: Add-on to NGSolve for Trefftz methods
PS
J. Open Source Soft., 2022 [pdf,cite,slides] - Embedded Trefftz discontinuous Galerkin methods
Christoph Lehrenfeld, PS
Int. J. Numer. Methods Eng., 2022 [pdf,cite,slides] - A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Lise-Marie Imbert-Gérard, Andrea Moiola, PS
Math. Comp., 2020 [pdf,cite] - An entropy structure preserving space-time formulation for cross-diffusion systems: Analysis and Galerkin discretization
Marcel Braukhoff, Ilaria Perugia, PS
SIAM J. Numer. Anal., 2020 [pdf,cite,slides] - Tent pitching and Trefftz-DG method for the acoustic wave equation
Ilaria Perugia, Joachim Schöberl, PS, Christoph Wintersteiger
Comput. Math. Appl., 2020 [pdf,cite]
Teaching
- 2024WS PS Numerical Mathematics
- 2022WS VO Partielle Differentialgleichungen
- 2022SS Mathematisch orientiertes Programmieren
- 2021WS Einführung in Python und Computeralgebra
- 2019SS UE Analysis for Physicists II
- 2018WS UE Problem session to Linear Algebra for Physicists
Co-Supervised Master's theses
Research visits
- University of Göttingen, Germany, 31/03/25 → 04/04/25,
working with C. Lehrenfeld and I. Voulis - University of Arizona, USA, 24/02/25 → 28/02/25,
working with L.-M. Imbert-Gérard - University of Göttingen, Germany, 18/08/24 → 24/08/24,
working with C. Lehrenfeld and I. Voulis - University of Pavia, Italy, 18/03/24 → 22/03/24,
working with A. Moiola, S. Gómez, and C. Perinati - Research in Pairs, Trento, Italy 25/06/23 → 01/07/23,
working with A. Moiola and L.-M. Imbert-Gérard - Kyoto University, Japan, 08/03/20 → 12/04/20,
working with K. Svadlenka and G. Favre - University of Pavia, Italy, 01/10/19 → 29/02/20,
working with A. Moiola
Conferences and Workshops
2025
- 8th ECCOMAS Young Investigators Conference
17/09 → 19/09, Pescara, IT - ENUMATH 2025
01/09 → 05/09, Heidelberg, DE - 6th NGSolve User Meeting
11/06 → 13/06, Hamburg, DE - Austrian Numerical Analysis Day 2025
08/05 → 09/05, Salzburg, AT - SIAM Conference on Computational Science and Engineering
03/03 → 07/03, Fort Worth, Texas, USA
Posts
- Dec 10, 2025 – How to create this website (again)
- Oct 16, 2023 – git dark magic
- Oct 11, 2022 – Some debugging notes
- Sep 13, 2022 – Softwave docu using Sphinx
- Jan 21, 2022 – Pypi - creating a python package
- Nov 01, 2021 – NGSTrefftz on the cluster in Göttingen
- Sep 07, 2021 – Quasi-Trefftz DG for the wave equation
- Jun 08, 2021 – Boulderproblem
- Oct 10, 2020 – Space-time Maxwell-Stefan equation
- Jan 23, 2020 – How to create this website
- Oct 11, 2019 – Space-time Trefftz-DG on tent pitched meshes