Publications
- Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
Lise-Marie Imbert-Gérard, Andrea Moiola, Chiara Perinati, PS
arXiv:2408.00932, 2024 [pdf,cite]
- Sparsity comparison of polytopal finite element methods
Christoph Lehrenfeld, PS, Maximilian Zienecker
PAMM, 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
arXiv:2209.01878, 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]
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Co-Supervised Master’s theses
- Embedded Trefftz Trace DG Methods for PDEs on unfitted Surfaces, Erik Schlesinger, 2023 [http]
- Robust Finite Element Discretizations for a PDE arising in Helioseismology, Tilman Alemán, 2022 [http]
Teaching
Research visits
- 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
2024
- Workshop: High-dimensional methods in stochastic and multiscale PDEs
30/09 → 02/10, Vienna, AT
- Chemnitz Finite Element Symposium
09/09 → 11/09, Chemnitz, DE
- Waves
30/06 → 05/07, Berlin, DE
- 5th NGSolve User Meeting,
17/06 → 19/06, Vienna, Aut
- Banff CMO: Contemporary Challenges in Trefftz Methods
12/05 → 17/05, Oaxaca, MX
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Posts
- 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