BibTeXs

1. @article{LLSV_ARXIV_2024,
       title={A unified framework for {T}refftz-like discretization methods}, 
       author={Philip L. Lederer and Christoph Lehrenfeld and Paul Stocker and Igor Voulis},
       year={2024},
       journal = {arXiv preprint arxiv:2412.00806},
       doi = {10.48550/arXiv.2412.00806},
   }
   




2. @article{GPS_JSC_2025,
     author    = {Sergio Gómez and Chiara Perinati and Paul Stocker},
     title     = {Inf-sup stable space--time Local Discontinuous Galerkin method for the heat equation},
     journal   = {Journal of Scientific Computing},
     year      = {2025},
     volume    = {106},
     number    = {1},
     pages     = {22},
     doi       = {10.1007/s10915-025-03121-7},
     url       = {https://doi.org/10.1007/s10915-025-03121-7},
     issn      = {1573-7691},
   }
   




3. @article{IMPS_IMAJNA_2025,
       author = {Imbert-Gérard, Lise-Marie and Moiola, Andrea and Perinati, Chiara and Stocker, Paul},
       title = {Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems},
       journal = {IMA Journal of Numerical Analysis},
       pages = {drae094},
       year = {2025},
       month = {01},
       issn = {0272-4979},
       doi = {10.1093/imanum/drae094},
       url = {https://doi.org/10.1093/imanum/drae094},
       eprint = {https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drae094/61503428/drae094.pdf},
   }
   




4. @article{LSZ_PAMM_2024,
       title = {Sparsity comparison of polytopal finite element methods},
       author = {Lehrenfeld, Christoph and Stocker, Paul and Zienecker, Maximilian},
       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}
   }
   




5. @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},
   }
   




6. @article{GMPS_AML_2023,
       title = {On polynomial {T}refftz spaces for the linear time-dependent {S}chrödinger 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},
   }
   




7. @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},
   }
   




8. @article{HLS_IMAJNA_2025,
       author = {Halla, Martin and Lehrenfeld, Christoph and Stocker, Paul},
       title = {A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun’s equation},
       journal = {IMA Journal of Numerical Analysis},
       pages = {draf071},
       year = {2025},
       month = {08},
       issn = {0272-4979},
       doi = {10.1093/imanum/draf071},
       url = {https://doi.org/10.1093/imanum/draf071},
       eprint = {https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/draf071/64166992/draf071.pdf},
   }
   




9. @proceeding{AHLS_ECCOMAS_2022,
       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},
   }
   




10. @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}
    }
    




11. @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}
    } 
    




12. @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}
    }
    




13. @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 }
    }
    




14. @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},
    }