BibTeXs

1. @article{2408.00392,
       title={Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems},
       author={Lise-Marie Imbert-Gérard and Andrea Moiola and Chiara Perinati and Paul Stocker},
       journal = {arXiv preprint arxiv:2408.00392},
       year = {2024},
       doi = {10.48550/arXiv.2408.00392},
   }
   

2. @article{LSZ_PAMM_2024,
       author = {Lehrenfeld, Christoph and Stocker, Paul and Zienecker, Maximilian},
       title = {Sparsity comparison of polytopal finite element methods},
       journal = {PAMM},
       volume = {24},
       number = {3},
       pages = {e202400150},
       doi = {https://doi.org/10.1002/pamm.202400150},
       url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202400150},
       eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202400150},
       year = {2024}
   }
   

3. @article{LLS_NM_2024,
       title={Trefftz Discontinuous {Galerkin} discretization for the {Stokes} problem},
       author={Philip L. Lederer and Christoph Lehrenfeld and Paul Stocker},
       journal = {Numerische Mathematik},
       year={2024},
       doi = {10.1007/s00211-024-01404-z},
   }
   

4. @article{GMPS_AML_2023,
   title = {On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation},
   journal = {Applied Mathematics Letters},
   volume = {146},
   pages = {108824},
   year = {2023},
   issn = {0893-9659},
   doi = {10.1016/j.aml.2023.108824},
   url = {https://www.sciencedirect.com/science/article/pii/S0893965923002562},
   author = {Sergio Gómez and Andrea Moiola and Ilaria Perugia and Paul Stocker},
   }
   

5. @article{HLSW_M2AN_2022,
   title = {Unfitted {T}refftz discontinuous {G}alerkin methods for elliptic boundary value problems},
   author = {Heimann, Fabian and  Lehrenfeld, Christoph and Stocker, Paul and von Wahl, Henry},
   journal = {ESAIM: M2AN},
   year = {2023},
   doi = {10.1051/m2an/2023064},
   }
   

6. @article{2209.01878,
   title = {A new {T}-compatibility condition and its application to the discretization of the damped time-harmonic {G}albrun's equation},
   author = {Halla, Martin and Lehrenfeld, Christoph and Stocker, Paul},
   journal = {arXiv preprint arxiv:2209.01878},
   year = {2022},
   doi = {10.48550/ARXIV.2209.01878},
   }
   

7. @proceeding{2205.15650,
   title = {Robust finite element discretizations for a simplified {G}albrun's equation},
   author = {Alemán, Tilman and Halla, Martin and Lehrenfeld, Christoph and Stocker, Paul},
   publisher = {eccomas2022},
   year = {2022},
   url = {https://www.scipedia.com/public/Aleman_et_al_2022a},
   doi = {10.23967/eccomas.2022.206},
   }
   

8. @article{S_JOSS_2022,
   doi = {10.21105/joss.04135},
   url = {https://doi.org/10.21105/joss.04135},
   year = {2022},
   publisher = {The Open Journal},
   volume = {7},
   number = {71},
   pages = {4135},
   author = {Paul Stocker},
   title = { {NGST}refftz: {A}dd-on to {NGS}olve for {T}refftz methods},
   journal = {J. Open Source Softw.},
   fjournal = {Journal of Open Source Software}
   }
   

9. @article{LS_IJMNE_2023,
   author = {Lehrenfeld, Christoph and Stocker, Paul},
   title = {Embedded {Trefftz} discontinuous {Galerkin} methods},
   fjournal = {International Journal for Numerical Methods in Engineering},
   journal = {Int. J. Numer. Methods Eng.},
   volume = {124},
   number = {17},
   pages = {3637-3661},
   keywords = {discontinuous Galerkin method, embedded Trefftz, Trefftz finite elements},
   doi = {10.1002/nme.7258},
   year = {2023}
   } 
   

10. @article{IGMS_MC_2021,
    title={A space-time quasi-{T}refftz {DG} method for the wave equation with piecewise-smooth coefficients}, 
    author={Lise-Marie Imbert-Gérard and Andrea Moiola and Paul Stocker},
    journal = {Math. Comput.},
    fjournal = {Mathematics of Computation},
    year = {2022},
    doi = {10.1090/mcom/3786},
    URL = {https://doi.org/10.1090/mcom/3786}
    }
    

11. @article{BPS_SINUM_2022,
    author = {Braukhoff, Marcel and Perugia, Ilaria and Stocker, Paul},
    title = { {A}n Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: {A}nalysis and {G}alerkin Discretization},
    journal = {SIAM J. Num. Anal.},
    fjournal = {SIAM Journal on Numerical Analysis},
    volume = {60},
    number = {1},
    pages = {364-395},
    year = {2022},
    doi = {10.1137/20M1360086},
    URL = { https://doi.org/10.1137/20M1360086 },
    eprint = { https://doi.org/10.1137/20M1360086 }
    }
    

12. @article {PSSW_CMA_2020,
    AUTHOR = {Perugia, Ilaria and Sch\"{o}berl, Joachim and Stocker, Paul and Wintersteiger, Christoph},
    TITLE = {Tent pitching and {T}refftz-{DG} method for the acoustic wave equation},
    JOURNAL = {Comput. Math. Appl.},
    FJOURNAL = {Computers \& Mathematics with Applications. An International Journal},
    VOLUME = {79},
    YEAR = {2020},
    NUMBER = {10},
    PAGES = {2987--3000},
    ISSN = {0898-1221},
    MRCLASS = {65M60},
    MRNUMBER = {4083033},
    DOI = {10.1016/j.camwa.2020.01.006},
    URL = {https://doi.org/10.1016/j.camwa.2020.01.006},
    }