recent.bib

@article{LLSV_ARXIV_2024,
  title = {A unified framework for Trefftz-like discretization methods},
  author = {Philip Lukas Lederer, Christoph Lehrenfeld, Paul Stocker and Igor Voulis},
  year = {2024},
  journal = {arXiv preprint arxiv:2412.00806},
  eprint = {2412.00806},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2412.00806},
  pdf = {https://arxiv.org/pdf/2412.00806.pdf},
  keywords = {Trefftz methods, error analysis, embedded Trefftz, Quasi-Trefftz}
}

@article{H_ENUMATH_2024,
  title = {A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems},
  author = {Heimann, Fabian},
  booktitle = {Submitted to: ENUMATH23 Proceedings},
  organization = {Springer},
  eprint = {2401.07807},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2401.07807},
  pdf = {https://arxiv.org/abs/2401.07807.pdf}
}

@article{HL_ARXIV_2023,
  title = {Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains: Geometry Error Analysis},
  author = {Fabian Heimann and Christoph Lehrenfeld},
  year = {2023},
  journal = {arXiv preprint arxiv:2311.02348 (accepted for publication in IMA-JNA)},
  eprint = {2311.02348},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2311.02348},
  pdf = {https://arxiv.org/pdf/2311.02348.pdf},
  keywords = {unfitted FEM, space-time, geometry error analysis}
}

@article{LvBV_ARXIV_2023,
  title = {Analysis of divergence-preserving unfitted finite element methods for the mixed {P}oisson problem},
  author = {Christoph Lehrenfeld and Tim van Beeck and Igor Voulis},
  journal = {arXiv preprint arxiv:2306.12722 (accepted for publication in Math. Comp.)},
  year = {2023},
  eprint = {2306.12722},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2306.12722},
  pdf = {https://arxiv.org/pdf/2306.12722.pdf},
  code = {https://doi.org/10.25625/LYR2CG},
  keywords = {unfitted FEM, mixed FEM, divergence-preserving FEM, mixed Poisson problem}
}

@article{HLS_ARXIV_2022,
  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},
  eprint = {2209.01878},
  url = {https://arxiv.org/abs/2209.01878},
  pdf = {https://arxiv.org/pdf/2209.01878.pdf},
  keywords = {Numerical Analysis (math.NA), FOS: Mathematics, FOS: Mathematics}
}

@article{vBZ_ARXIV_2024,
  title = {An adaptive mesh refinement strategy to ensure quasi-optimality of the conforming finite element method for the Helmholtz equation via T-coercivity},
  author = {Tim van Beeck and Umberto Zerbinati},
  year = {2024},
  eprint = {2403.06266},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2403.06266},
  pdf = {https://arxiv.org/pdf/2403.06266.pdf}
}

@article{LiveDocs,
  author = {{Costa Klein}, Pedro and Lehrenfeld, Christoph and Osterhoff, Markus and Uecker, Martin},
  title = {LiveDocs: Crafting Interactive Development
Environments From Research Findings},
  doi = {10.48550/arXiv.2402.09475},
  url = {https://arxiv.org/abs/2402.09475},
  pdf = {https://arxiv.org/abs/2402.09475.pdf},
  journal = {arXiv preprint 2402.09475},
  year = {2024},
  copyright = {Creative Commons Attribution Share Alike 4.0 International},
  keywords = {Open Science, LiveDocs, Interactive Development Environments, Research Software, Research Findings}
}