^

BibTeXs

  1. @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},
    }
    
  2. @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},
    }
    
  3. @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},
    }
    
  4. @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},
    }
    
  5. @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},
    }
    
  6. @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}
    }
    
  7. @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}
    } 
    
  8. @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}
    }
    
  9. @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 }
    }
    
  10. @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},
    }