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 related to this project

1. A discontinuous Galerkin method for elliptic-hyperbolic equations
   Chiara Perinati, Lise-Marie Imbert-Gérard, Andrea Moiola, PS
   arXiv:2604.06910, 2026

2. Embedded Trefftz DG method for the Helmholtz equation
   PS, Igor Voulis
   arXiv:2603.13034, 2026

3. Embedded Trefftz DG framework for the analysis of discretizations with local-global decompositions
   Philip L. Lederer, Christoph Lehrenfeld, PS, Igor Voulis
   arXiv:2412.00806, 2024

4. Inf-sup stable space-time local discontinuous Galerkin method for the heat equation
   Sergio Gómez, Chiara Perinati, PS
   J. Sci. Comput., 2025

5. Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
   Lise-Marie Imbert-Gérard, Andrea Moiola, Chiara Perinati, PS
   IMA J. Numer. Anal., 2025