pubsRichter.bib

@comment{{This file has been generated by bib2bib 1.99}}

@comment{{Command line: bib2bib -ob pubsRichter.bib -c 'author : "Richter"' all_publications.bib}}

@incollection{DMV2024,
  author = {C. Mehlmann and T. Richter},
  title = {Mit Mathematik zum Nordpol},
  booktitle = {Mitteilungen der Deutschen Mathematiker-Vereinigung},
  doi = {10.1515/dmvm-2024-0009},
  publisher = {De Gruyter},
  year = {2024},
  volume = {32},
  number = {1},
  pages = {14-19}
}

@article{Physikii,
  author = {A. Sprenger and H. Reinken and T. Richter and A. Menzel},
  title = {Thin elastic films and membranes under rectangular confinement},
  journal = {submitted},
  year = {2024},
  optkey = {},
  optvolume = {},
  optnumber = {},
  optpages = {},
  optmonth = {},
  optnote = {},
  optannote = {}
}

@article{DWR2024,
  author = {B. Endtmayer and U. Langer and T. Richter A. Schafelner},
  title = {A Posteriori Single- and Multi-Goal Error Control and Adaptivity for
Partial Differential Equations},
  journal = {submitted},
  arxiv = {https://arxiv.org/abs/2404.01738},
  year = {2024}
}

@article{Physicsi,
  author = {A. Daddi-Moussa-Ider and E. Tjhung and T. Richter and A.M. Menzel},
  title = {Hydrodynamics of a thin disk in a weakly anisotropic liquid crystal with friction},
  journal = {submitted},
  arxiv = {https://arxiv.org/html/2403.13755v1},
  year = {2024}
}

@article{Jendersie2024,
  author = {R. Jendersie and C. Lessig and T. Richter},
  title = {Towards a GPU-Parallelization of the neXtSIM-DG Dynamical Core},
  journal = {PASC' 24: Proceedings of the Platform for Advanced Scientific Computing Conference},
  note = {accepted},
  arxiv = {https://arxiv.org/abs/2402.00466},
  year = {2024}
}

@article{SoszynskaRichter2023,
  author = {M. Soszy\~nska and T. Richter},
  title = {A priori error analysis of multirate time-stepping schemes for two-phase flow problems},
  journal = {submitted},
  year = {2023},
  arxiv = {http://arxiv.org/abs/2310.02620},
  optkey = {},
  optvolume = {},
  optnumber = {},
  optpages = {},
  optmonth = {},
  optnote = {},
  optannote = {}
}

@article{MargenbergJendersieLessigRichter2023,
  author = {N. Margenberg and R. Jendersie and C. Lessig and T. Richter},
  title = {DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2024},
  arxiv = {https://arxiv.org/abs/2307.14837},
  doi = {10.48550/arXiv.2106.07687},
  volume = {420},
  doi = {10.1016/j.cma.2023.116692},
  pages = {116692}
}

@article{BennerRichterWeinhandl2023,
  author = {P. Benner and T. Richter and R. Weinhandl},
  title = {A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity},
  eprint = {2008.10275},
  archiveprefix = {arxiv},
  publisher = {arXiv},
  year = {2023},
  journal = {submitted},
  doi = {10.48550/arXiv.2008.10275}
}

@article{Roth2023,
  author = {J. Roth and M. Soszyńska and T. Richter and T. Wick},
  title = {A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems},
  journal = {Journal of Computational and Applied Mathematics},
  year = {2024},
  optkey = {},
  volume = {446},
  pages = {115831},
  optmonth = {},
  doi = {10.1016/j.cam.2024.115831},
  url = {http://arxiv.org/abs/2307.12455}
}

@article{gmd2023,
  author = {T. Richter and V. Dansereau and C. Lessig and P. Minakowski},
  journal = {Geophysical Model Development},
  title = {The neXtSIM-DG dynamical core: A Framework for Higher-order Finite Element Sea Ice Modeling},
  year = {2023},
  doi = {10.5194/egusphere-2023-391}
}

@software{ZenNS,
  author = {T. Richter and V. Dansereau and C. Lessig and P. Minakowski},
  title = {A snippet from neXtSIM_DG : next generation sea-ice model with DG},
  year = {2023},
  doi = {10.5281/zenodo.7688635},
  journal = {Zenodo}
}

@article{GkimisisRichterBenner2023,
  author = {L. Gkimisis and T. Richter and P. Benner},
  title = {Adjacency-based, non-intrusive model reduction for Vortex-Induced Vibrations},
  journal = {Proceedings in Applied Mathematics \& Mechanics},
  eid = {e202300047},
  year = {2023},
  volume = {23},
  number = {4},
  optpages = {},
  optmonth = {},
  doi = {10.1002/pamm.202300047},
  url = {http://arxiv.org/abs/2302.09981},
  optannote = {}
}

@article{KayaRichter2023,
  author = {U. Kaya and T. Richter},
  title = {Local pressure-correction and explicit time integration for incompressible flows},
  journal = {submitted},
  year = {2023},
  optkey = {},
  optvolume = {},
  optnumber = {},
  optpages = {},
  optmonth = {},
  optnote = {},
  optannote = {}
}

@article{vWR21a,
  author = {H. von Wahl and T. Richter},
  title = {Error Estimate for the Heat Equation on a Coupled Moving Domain in a Fully Eulerian Framework},
  eprint = {2111.05607},
  eprintclass = {math.NA},
  eprinttype = {arXiv},
  note = {accepted},
  journal = {SIAM Journal on Numerical Analysis},
  year = {2022}
}

@software{vWR21b,
  author = {H. von Wahl and T. Richter},
  date = {2021},
  title = {Error Estimate for the Heat Equation on a Coupled Moving Domain in a Fully Eulerian Framework - Reproduction Scripts},
  doi = {10.5281/zenodo.5654449},
  journal = {Zenodo}
}

@article{MinakowskiRichter2022,
  author = {P. Minakowski and T. Richter},
  journal = {Journal of Computational and Applied Mathematics},
  title = {A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem},
  year = {2023},
  pages = {114845},
  volume = {421},
  doi = {10.1016/j.cam.2022.114845},
  eprint = {2107.11035},
  publisher = {Elsevier {BV}}
}

@article{rotlet2021,
  author = {A. Daddi-Moussa-Ider and A.R. Sprenger and T. Richter and H. L"owen and A.M. Menzel},
  title = {Steady azimuthal flow field induced by a rotating sphere near a rigid disk or inside a gap between two coaxially positioned rigid disks},
  doi = {10.1063/5.0062688},
  eprint = {2107.03927},
  note = {Editor's Pick},
  number = {8},
  volume = {33},
  archiveprefix = {arxiv},
  journal = {Physics of Fluids},
  year = {2021}
}

@article{MJTL,
  author = {N. Margenberg and R. Jendersie and T. Richter and C. Lessig},
  title = {Deep neural networks for geometric multigrid methods},
  eprint = {2106.07687},
  archiveprefix = {arxiv},
  journal = {submitted},
  year = {2021}
}

@article{PAMM21,
  author = {S. Frei and A. Heinlein and T. Richter},
  title = {On temporal homogenization in the numerical simulation of atherosclerotic plaque growth},
  journal = {Proceedings in Applied Mathematics \& Mechanics},
  year = {2021},
  volume = {21},
  doi = {10.1002/pamm.202100055},
  eprint = {2106.09394},
  archiveprefix = {arxiv},
  publisher = {Wiley}
}

@article{eisvergleich,
  author = {C. Mehlmann and S. Danilov and M. Losch and J.F. Lemieux and N. Hutter and T. Richter and P. Blain and E.C. Hunke and P Korn},
  title = {Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids},
  doi = {10.1029/2021MS002523},
  eprint = {2103.04431},
  note = {accepted},
  archiveprefix = {arxiv},
  journal = {Journal of Advances in Modeling Earth Systems},
  keywords = {climate},
  year = {2021}
}

@article{WahlRichter2021,
  author = {H. von Wahl and T. Richter},
  title = {Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow},
  doi = {10.1002/fld.5037},
  eprint = {2102.11636},
  archiveprefix = {arxiv},
  journal = {International Journal for Numerical Methods in Fluids},
  year = {2021}
}

@article{SoszynskaRichter2021,
  author = {Martyna Soszy{\'{n}}ska and Thomas Richter},
  title = {Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation},
  doi = {10.1007/s10543-021-00854-3},
  eprint = {2007.05372},
  archiveprefix = {arxiv},
  journal = {BIT Numerical Mathematics},
  publisher = {Springer Science and Business Media {LLC}},
  year = {2021}
}

@article{MargenbergRichter2019,
  author = {N. Margenberg and T. Richter},
  title = {Parallel time-stepping for fluid-structure interactions},
  doi = {10.1051/mmnp/2021005},
  eprint = {1907.01252},
  pages = {20},
  volume = {16},
  archiveprefix = {arxiv},
  journal = {Mathematical Modelling of Natural Phenomena},
  year = {2021}
}

@article{Richter2020,
  author = {T. Richter},
  title = {An averaging scheme for the efficient approximation of time-periodic flow problems},
  journal = {Computers and Fluids},
  year = {2021},
  eid = {104769},
  volume = {214},
  doi = {10.1016/j.compfluid.2020.104769}
}

@article{WahlRichterFreiHagemeier2020,
  author = {H. von Wahl and T. Richter and S. Frei and T. Hagemeier},
  title = {Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data},
  doi = {10.1063/5.0037971},
  eid = {033304},
  eprint = {2011.08691},
  note = {Editor's Pick},
  volume = {33},
  archiveprefix = {arxiv},
  journal = {Physics of Fluids},
  year = {2021}
}

@article{MinakowskaRichterSager2020,
  author = {M. Minakowska and T. Richter and S. Sager},
  title = {A finite element / neural network framework for modeling suspensions of non-spherical particles. Concepts and medical applications},
  doi = {10.1007/s10013-021-00477-9},
  number = {1},
  pages = {207--235},
  volume = {49},
  journal = {Vietnam Journal of Mathematics},
  year = {2021}
}

@article{HagemeierTheveninRichter2020,
  author = {T. Hagemeier and D. Th\'evenin and T. Richter},
  title = {Settling of spherical particles in the transitional regime},
  doi = {10.1016/j.ijmultiphaseflow.2021.103589},
  eprint = {2009.02250},
  pages = {103589},
  volume = {138},
  archiveprefix = {arxiv},
  journal = {International Journal of Multiphase Flow},
  year = {2021}
}

@article{HartmannLessigMargenbergRichter2020,
  author = {Nils Margenberg and Dirk Hartmann and Christian Lessig and Thomas Richter},
  title = {A neural network multigrid solver for the Navier-Stokes equations},
  doi = {10.1016/j.jcp.2022.110983},
  eprint = {2008.11520},
  pages = {110983},
  archiveprefix = {arxiv},
  journal = {Journal of Computational Physics},
  volume = {460},
  publisher = {Elsevier {BV}},
  year = {2022}
}

@article{FreiJudakovaRichter,
  author = {S. Frei and G. Judakova and T. Richter},
  title = {A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions},
  journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
  note = {accepted},
  url = {https://arxiv.org/abs/2007.13906},
  year = {2023}
}

@article{LautschRichter2020,
  author = {L. Lautsch and T. Richter},
  title = {Error estimation and adaptivity for differential equations with multiple scales in time},
  doi = {10.1515/cmam-2021-0030},
  eprint = {2006.05420},
  note = {online first},
  archiveprefix = {arxiv},
  journal = {Computational Methods in Applied Mathemacics},
  year = {2021}
}

@article{platten2020,
  author = {A. Daddi-Moussa-Ider and A.R. Sprenger and Y. Amarouchene and T. Salez and C. Sch\"onecker and T. Richter and H. L\"owen and A.M. Menzel},
  title = {Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks},
  journal = {Journal of Fluid Mechanics},
  year = {2020},
  volume = {904},
  pages = {A34},
  doi = {10.1017/jfm.2020.706}
}

@article{FailerMinakowskiRichter2020,
  author = {L. Failer and P. Minakowski and T. Richter},
  title = {On the Impact of Fluid Structure Interaction in Blood Flow Simulations},
  doi = {10.1007/s10013-020-00456-6},
  number = {1},
  pages = {169--187},
  url = {https://rdcu.be/ceo0t},
  volume = {49},
  journal = {Vietnam Journal of Mathematics},
  year = {2021}
}

@article{MehlmannRichter2020,
  author = {C. Mehlmann and T. Richter},
  title = {A goal oriented error estimator and mesh adaptivity for sea ice simulations},
  journal = {Ocean Modeling},
  year = {2020},
  volume = {154},
  number = {101684},
  doi = {10.1016/j.ocemod.2020.101684}
}

@article{WahlRichterLehrenfeld2020,
  author = {H. von Wahl and T. Richter and C. Lehrenfeld},
  title = {An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains},
  doi = {10.1093/imanum/drab044},
  eprint = {2002.02352},
  archiveprefix = {arxiv},
  journal = {IMA Journal of Numerical Analysis},
  year = {2021}
}

@software{ZenodoWahlRichterLehrenfeld2020,
  author = {H. von Wahl and T. Richter and C. Lehrenfeld},
  title = {An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains},
  journal = {Zenodo},
  year = {2020},
  doi = {10.5281/zenodo.3647571}
}

@inproceedings{MizerskiRichter2019,
  author = {J. Mizerski and T. Richter},
  booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2019},
  title = {The candy wrapper problem - a temporal multiscale approach for pde/pde systems},
  doi = {978-3-030-55874-1_2},
  eprint = {2002.09705},
  publisher = {Springer},
  series = {Lecture Notes in Computational Science and Engineering},
  archiveprefix = {arxiv},
  year = {2019}
}

@inproceedings{BennerRichterWeinhandl2020,
  author = {P. Benner and T. Richter and R. Weinhandl},
  booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2019},
  title = {A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems},
  doi = {978-3-030-55874-1_115},
  eprint = {1911.08193},
  publisher = {Springer},
  series = {Lecture Notes in Computational Science and Engineering},
  archiveprefix = {arxiv},
  year = {2020}
}

@article{WeinhandlBennerRichter2019,
  author = {R. Weinhandl and P. Benner and T. Richter},
  title = {Low-rank Linear Fluid-structure Interaction Discretizations},
  doi = {10.1002/zamm.201900205},
  eid = {e201900205},
  number = {11},
  volume = {100},
  journal = {ZAMM},
  year = {2020}
}

@article{FailerRichter2019opt,
  author = {L. Failer and T. Richter},
  title = {A Newton multigrid framework for optimal control of fluid-structure interactions},
  journal = {Optimization and Engineering},
  year = {2020},
  doi = {10.1007/s11081-020-09498-8}
}

@article{FailerRichter2019,
  author = {L. Failer and T. Richter},
  title = {A parallel Newton multigrid framework for monolithic fluid-structure interactions},
  doi = {10.1007/s10915-019-01113-y},
  number = {2},
  volume = {82},
  journal = {Journal of Scientific Computing},
  url = {http://arxiv.org/abs/1904.02401},
  year = {2020}
}

@article{FreiRichter2020,
  author = {S. Frei and T. Richter},
  title = {Efficient approximation of flow problems with multiple scales in time},
  number = {2},
  pages = {942--969},
  url = {pdf-files/FreiRichter-SIAM-2020.pdf},
  volume = {18},
  journal = {SIAM Multiscale Modeling and Simulation},
  year = {2020}
}

@article{MinakowskiRichter2019,
  author = {P. Minakowski and T. Richter},
  title = {Finite Element Error Estimates on Geometrically Perturbed Domains},
  doi = {10.1007/s10915-020-01285-y},
  number = {30},
  volume = {84},
  journal = {Journal of Scientific Computing},
  year = {2020}
}

@article{FreiRichterWick2019,
  author = {S. Frei and T. Richter and T. Wick},
  title = {LocModFE: Locally modified finite elements for approximating interface problems in deal.II},
  journal = {Software Impacts},
  year = {2021},
  volume = {8},
  doi = {10.1016/j.simpa.2021.100070}
}

@article{SonnerRichter2018,
  author = {F. Sonner and T. Richter},
  title = {Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations},
  doi = {10.1137/18M1234813},
  issue = {1},
  pages = {375--409},
  url = {http://epubs.siam.org/toc/sjnaam/57/5},
  volume = {58},
  journal = {SIAM J. Numer. Anal.},
  year = {2020}
}

@article{vonWahlRichterLehrenfeldHeilandMinakowski2019,
  author = {H. von Wahl and T. Richter and C. Lehrenfeld and J. Heiland and P. Minakowski},
  title = {Numerical benchmarking of fluid-rigid body interactions},
  doi = {10.1016/j.compfluid.2019.104290},
  eprint = {1908.04637},
  volume = {193},
  archiveprefix = {arxiv},
  journal = {Computers and Fluids},
  year = {2019}
}

@software{ZenodovonWahlRichterLehrenfeldHeilandMinakowski2019,
  author = {H. von Wahl and T. Richter and C. Lehrenfeld and J. Heiland and P. Minakowski},
  title = {Numerical benchmarking of fluid-rigid body interactions},
  journal = {Zenodo},
  year = {2019},
  volume = {193},
  doi = {10.5281/zenodo.3253455}
}

@article{GuidiKonzenRichter2019,
  author = {L.F. Guidi and P. Konzen and T. Richter},
  journal = {Annals of Nuclear Energy},
  title = {Quasi-random discrete ordinates method for neutron transport problems},
  year = {2019},
  pages = {275--282},
  volume = {113},
  arxiv = {http://arxiv.org/abs/2307.09131}
}

@software{FallingBall2020,
  title = {Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data},
  journal = {Zenodo},
  author = {H. von Wahl and T. Richter and S. Frei and T. Hagemeier},
  year = {2020},
  doi = {10.5281/zenodo.3989604}
}

@software{LocMod2018,
  title = {An implementation of a locally modified finite element method for interface problems in deal.II},
  journal = {Zenodo},
  author = {S. Frei and T. Richter and T. Wick},
  year = {2018},
  doi = {10.5281/zenodo.1457757}
}

@misc{FreiRichterWick2018,
  author = {S. Frei and T. Richter and T. Wick},
  title = {On the implementation of a locally modified finite element method for interface problems in deal.II},
  eprint = {1806.00999},
  archiveprefix = {arxiv},
  publisher = {arXiv},
  year = {2018}
}

@article{RichterWollner2017,
  author = {T. Richter and W. Wollner},
  title = {Efficient computation of time-periodic solutions of partial differential equations},
  doi = {10.1007/s10013-018-0314-y},
  number = {4},
  pages = {949--966},
  volume = {46},
  journal = {Viet. J. Math.},
  year = {2018}
}

@inproceedings{WeinhandlBennerRichter2018,
  author = {R. Weinhandl and P. Benner and T. Richter},
  title = {Linear Low-Rank Parameter-Dependent Fluid-Structure Interaction Discretization in 2D},
  booktitle = {PAMM - Proc. Appl. Math. Mech. - Annual 89h Meeting of the International Association of Applied Mathematics and Mechanics},
  year = {2018},
  optpages = {827-830}
}

@inproceedings{RichterMehlmann2017Enumath,
  author = {T. Richter and C. Mehlmann},
  booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2017},
  title = {An accelerated Newton method for nonlinear materials in structure mechanics and fluid mechanics},
  doi = {978-3-319-96415-7_30},
  pages = {345--353},
  publisher = {Springer},
  series = {Lecture Notes in Computational Science and Engineering},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2018-RichterMehlmann-ENUMATH.pdf},
  volume = {126},
  year = {2018}
}

@article{BrinkmannMerckerRichterMarciniak2017,
  author = {F. Brinkmann and M. Mercker and T. Richter and A. Marciniak-Czochra},
  title = {Post-Turing tissue pattern formation: Advent of Mechanochemistry},
  journal = {PLOS Computational Biology},
  year = {2018},
  doi = {10.1371/journal.pcbi.1006259}
}

@inproceedings{KonzenSauterAzevedoRichter2017,
  author = {P.H. {de Almeida Konzen} and E. Sauter and F.S. {de Azevedo} and T. Richter},
  title = {Parallel iterative finite element procedure with dwr mesh adaptation to simulation transport problems in x-y geometry},
  booktitle = {25th International Conference on Transport Theory},
  year = {2017},
  address = {Monterey, California}
}

@book{RichterWick2017,
  author = {T. Richter and T. Wick},
  title = {Einfuehrung in die Numerische Mathematik - Begriffe, Konzepte und zahlreiche Anwendungsbeispiele},
  publisher = {Springer},
  year = {2017},
  note = {ISBN 978-9-662-54177-7,{ }}
}

@book{Richter2017,
  author = {T. Richter},
  title = {Fluid-structure Interactions. Models, Analysis and Finite Elements},
  publisher = {Springer},
  year = {2017},
  volume = {118},
  series = {Lecture Notes in Computational Science and Engineering},
  note = {ISBN 978-3-319-63969-7,{ }}
}

@article{MehlmannRichter2017mg,
  author = {C. Mehlmann and T. Richter},
  title = {A Finite Element Multigrid-Framework for Discretizing Sea Ice Dynamics},
  doi = {10.1016/j.jcp.2017.08.004},
  pages = {847--861},
  volume = {348},
  journal = {Journal of Computational Physics},
  year = {2017}
}

@inbook{FreiRichterFSIBook2017,
  author = {T. Richter and S. Frei},
  editor = {S. Frei and B. Holm and T. Richter and T. Wick and H. Yang},
  title = {Fluid-Structure Interactions. Modeling, Adaptive Discretization and Solvers},
  chapter = {An accurate Eulerian approach for fluid-structure interactions},
  publisher = {De Gruyter},
  year = {2017},
  series = {Radon Series on Computational and Applied Mathematics},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2017-FreiRichter-FSIBook.pdf}
}

@article{MehlmannRichter2017,
  author = {C. Mehlmann and T. Richter},
  title = {A modified global Newton solver for viscous-plastic sea ice models},
  doi = {10.1016/j.ocemod.2017.06.001},
  pages = {96--107},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2017-MehlmannRichter-OceanModeling.pdf},
  volume = {116},
  journal = {Ocean Modeling},
  year = {2017}
}

@article{YangRichterJaegerNeussRadu2015,
  author = {Y. Yang and T. Richter and W. Jaeger and M. Neuss-Radu},
  title = {An ALE approach to mechano-chemical processes in fluid-structure interactions},
  doi = {10.1002/fld.4345},
  number = {4},
  pages = {199--220},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2016-YangRichterJaegerNeussRadu-IJNMF.pdf},
  volume = {84},
  journal = {I. J. Num. Meth. Fluids},
  year = {2017}
}

@article{MerckerBrinkmannMarciniakRichter2016,
  author = {M. Mercker and F. Brinkmann and A. Marciniak-Czochra and T. Richter},
  title = {Beyond Turing: Mechanochemical pattern formation in biological tissues},
  journal = {Biology Direct},
  year = {2016},
  volume = {11},
  number = {22},
  url = {https://rdcu.be/6m1Y}
}

@inproceedings{FreiRichter2015,
  author = {S. Frei and T. Richter},
  title = {Discretization of Parabolic Problems on Moving Domains with Moving Interfaces},
  year = {2015},
  booktitle = {Oberwolfach Reports},
  editor = {K. Deckelnick and C.M. Elliot and R. Kornhuber and J.A. Sethian},
  volume = {55},
  publisher = {Mathematisches Forschungsinstitut Oberwolfach},
  doi = {10.4171/OWR/2015/55}
}

@article{Richter2015,
  author = {T. Richter},
  title = {A Monolithic Geometric Multigrid Solver for Fluid-Structure Interactions in ALE formulation},
  doi = {10.1002/nme.4943},
  number = {5},
  pages = {372--390},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2015-Richter-IJNME.pdf},
  volume = {104},
  journal = {Int. J. Num. Meth. in Engrg.},
  year = {2015}
}

@article{YangJaegerNeussRaduRichter2015,
  author = {Y. Yang and W. Jaeger and M. Neuss-Radu and T. Richter},
  title = {Mathematical modeling and simulation of the evolution of plaques in blood vessels},
  doi = {10.1007/s00285-015-0934-8},
  pages = {973--996},
  volume = {72},
  journal = {J. of Math. Biology.},
  year = {2016}
}

@article{FreiRichter2014,
  author = {S. Frei, T. Richter},
  title = {Second order time-stepping for parabolic interface problems with moving interfaces},
  doi = {10.1051/m2an/2016072},
  pages = {1539--1560},
  volume = {51},
  journal = {ESAIM Math. Mod. Num. Anal.},
  year = {2017}
}

@article{FreiRichterWick2016,
  author = {S. Frei and T. Richter and T. Wick},
  title = {Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in \{ALE\} and fully Eulerian coordinates},
  doi = {10.1016/j.jcp.2016.06.015},
  pages = {874--891},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2016-FreiRichterWick-JCP.pdf},
  volume = {321},
  journal = {Journal of Computational Physics},
  year = {2016}
}

@article{MeidnerRichter2015,
  author = {D. Meidner and T. Richter},
  title = {A Posteriori Error Estimation for the Fractional Step Theta discretization of the incompressible Navier-Stokes equations},
  doi = {10.1016/j.cma.2014.11.031},
  pages = {45--59},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2014-MeidnerRichter-CMAME.pdf},
  volume = {288},
  journal = {Comp. Meth. Appl. Mech. Engrg.},
  year = {2015}
}

@article{RichterWick2015,
  author = {T. Richter and T. Wick},
  title = {Variational Localizations of the Dual Weighted Residual Method},
  doi = {10.1016/j.cam.2014.11.008},
  pages = {192--208},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2015-RichterWick-JCAM.pdf},
  volume = {279},
  journal = {Journal of Computational and Applied Mathematics},
  year = {2015}
}

@article{J17,
  author = {S. Frei and T. Richter},
  title = {A locally modified parametric finite element method for interface problems},
  doi = {10.1137/130919489},
  number = {5},
  pages = {2315--2334},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2014-FreiRichter-SINUM.pdf},
  volume = {52},
  journal = {SIAM J. Numer. Anal.},
  year = {2014}
}

@article{J16,
  author = {D. Meidner and T. Richter},
  title = {Goal-Oriented Error Estimation for the Fractional Step Theta Scheme},
  doi = {10.1515/cmam-2014-0002},
  pages = {203--230},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2014-MeidnerRichter-CMAM.pdf},
  volume = {14},
  journal = {Comp. Meth. Appl. Math.},
  year = {2014}
}

@article{J15,
  author = {S. Knauf and S. Frei and T. Richter and R. Rannacher},
  title = {Towards a Complete Numerical Description of Lubricant Film Dynamics in Ball Bearings},
  doi = {10.1007/s00466-013-0904-1},
  pages = {239--255},
  volume = {53},
  journal = {Computational Mechanics},
  year = {2014}
}

@article{J14,
  author = {T. Richter and T. Wick},
  title = {Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems},
  doi = {10.1137/120893239},
  number = {5},
  pages = {B1085--B1104},
  volume = {35},
  journal = {SIAM J. Sci. Comput.},
  year = {2013}
}

@article{J13,
  author = {M. Mercker and A. Marciniak-Czochra and T. Richter and D Hartmann},
  title = {Modeling and computing of deformation dynamics of inhomogeneous biological surfaces},
  doi = {10.1137/120885553},
  number = {5},
  pages = {1768--1792},
  volume = {73},
  journal = {SIAM J. Appl. Math.},
  year = {2013}
}

@article{J12,
  author = {T. Richter and A. Springer and B. Vexler},
  title = {Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems},
  doi = {10.1007/s00211-012-0511-7},
  number = {1},
  pages = {151--182},
  volume = {124},
  journal = {Numerische Mathematik},
  year = {2013}
}

@article{J11,
  author = {T. Richter},
  title = {A Fully Eulerian Formulation for Fluid-Structure-Interaction Problems},
  doi = {10.1016/j.jcp.2012.08.047},
  pages = {227--240},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2013-Richter-JCP.pdf},
  volume = {233},
  journal = {Journal of Computational Physics},
  year = {2013}
}

@article{J10,
  author = {T. Richter},
  title = {Goal oriented error estimation for fluid-structure interaction problems},
  doi = {10.1016/j.cma.2012.02.014},
  pages = {28--42},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2012-CMAME.pdf},
  volume = {223-224},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2012}
}

@article{J9,
  author = {P. Konzen and T. Richter and U. Riedel and U. Maas},
  title = {Implementation of REDIM reduced chemistry to Model an Axisymmetric Laminar Diffusion Methane/Air Flame},
  doi = {10.1080/13647830.2010.538721},
  number = {3},
  pages = {299--323},
  volume = {15},
  journal = {Combustion Theory and Modelling},
  year = {2011}
}

@article{J8,
  author = {M. Mercker and T. Richter and D. Hartmann},
  title = {Sorting Mechanisms and Communication in Phase Separating Coupled Monolayers},
  doi = {10.1021/jp204127g},
  number = {40},
  pages = {11739--11745},
  volume = {115},
  journal = {Journal of Physical Chemistry B},
  year = {2011}
}

@article{J7,
  author = {E. Friedmann and T. Richter},
  title = {Optimal microstructures. Drag reducing mechanism of riblets},
  doi = {10.1007/s00021-010-0033-y},
  number = {3},
  pages = {429--447},
  volume = {14},
  journal = {J. of Math. Fluid Mech},
  year = {2011}
}

@article{J6,
  author = {M. Kimmritz and T. Richter},
  title = {Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes},
  doi = {10.1002/nla.744},
  pages = {615--636},
  volume = {18},
  journal = {Numerical Linear Algebra with Applications},
  year = {2011}
}

@article{J5,
  author = {T. Richter and T. Wick},
  title = {Finite Elements for Fluid-Structure Interaction in ALE and Fully Eulerian Coordinates},
  doi = {10.17485/ijst/2015/v8i1/84240},
  pages = {2633--2642},
  volume = {199},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2010}
}

@article{J4,
  author = {T. Richter},
  title = {A posteriori error estimation and anisotropy detection with the dual weighted residual method},
  doi = {10.1002/fld.2016},
  number = {1},
  pages = {90--118},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2010-Richter-IJNMF.pdf},
  volume = {62},
  journal = {Int. J. Numer. Meth. Fluids},
  year = {2010}
}

@article{J3,
  author = {P. Lin and T. Richter},
  title = {An Adaptive Homotopy Multi-grid Method for Molecule Orientations of High Dimensional Liquid Crystals},
  doi = {10.1016/j.jcp.2007.03.009},
  pages = {2069--2082},
  volume = {255},
  journal = {Journal for Computational Physics},
  year = {2007}
}

@article{J2,
  author = {M. Braack and T. Richter},
  title = {Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements},
  doi = {10.1016/j.compfluid.2005.02.001},
  number = {4},
  pages = {372--392},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2006-BraackRichter-CF.pdf},
  volume = {35},
  journal = {Computers and Fluids},
  year = {2006}
}

@article{J1,
  author = {M. Braack and T. Richter},
  title = {Stabilized finite elements for 3-D reactive flows},
  doi = {10.1002/fld.1160},
  pages = {981--999},
  volume = {51},
  journal = {Int. J. Numer. Meth. Fluids},
  year = {2006}
}

@incollection{B7,
  author = {T. Richter and T. Wick},
  booktitle = {Multiple Shooting and Time Domain Decomposition Methods},
  title = {On time discretizations of fluid-structure interactions},
  doi = {10.1007/978-3-319-23321-5_15},
  editor = {T. Carraro and M. Geiger and S. K\"orkel and R. Rannacher},
  pages = {377--400},
  publisher = {Springer},
  series = {Contributions in Mathematical and Computational Science},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2015-mustdd.pdf},
  year = {2015}
}

@incollection{B6,
  author = {R. Rannacher and T. Richter},
  booktitle = {Fluid-Structure Interaction II, Modelling, Simulation, Optimization},
  title = {An Adaptive Finite Element Method for Fluid-Structure Interaction Problems Based on a Fully Eulerian Formulation},
  doi = {10.1007/978-3-642-14206-2_7},
  editor = {H.J. Bungartz and M. Mehl and M. Sch"afer},
  number = {73},
  pages = {159--192},
  publisher = {Springer},
  series = {Lecture notes in computational science and engineering},
  year = {2010}
}

@incollection{B5,
  author = {E. Friedmann and J. Portl and T. Richter},
  booktitle = {Advances in Mathematical Fluid Mechanics: Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday},
  title = {A Study of Shark Skin and its drag reducing mechanism},
  doi = {10.1007/978-3-642-04068-9_16},
  editor = {R. Rannacher and A. Sequiera},
  pages = {271--286},
  publisher = {Springer},
  year = {2010}
}

@incollection{B4,
  author = {T. Dunne and R. Rannacher and T. Richter},
  title = {Numerical Simulation of Fluid-Structure Interaction Based on Monolithic Variational Formulations},
  booktitle = {Comtemporary Challenges in Mathematical Fluid Mechanics},
  publisher = {World Scientific},
  year = {2010},
  editor = {G.P. Galdi and R. Rannacher},
  address = {Singapore},
  doi = {10.1142/9789814299336_0001}
}

@incollection{B3,
  author = {M. Braack and T. Richter},
  booktitle = {Reactive Flows, Diffusion and Transport},
  title = {Mesh and model adaptivity for flow problems},
  doi = {10.1007/978-3-540-28396-6_3},
  editor = {W. J\"ager and R. Rannacher and J. Warnatz},
  pages = {47--75},
  publisher = {Springer Berlin Heidelberg},
  year = {2006}
}

@incollection{B2,
  author = {M. Braack and T. Richter},
  booktitle = {Reactive Flows, Diffusion and Transport},
  title = {Solving Multidimensional Reactive Flow Problems with Adaptive Finite Elements},
  doi = {10.1007/978-3-540-28396-6_5},
  editor = {W. J\"ager and R. Rannacher and J. Warnatz},
  pages = {93--112},
  publisher = {Springer Berlin Heidelberg},
  year = {2007}
}

@incollection{B1,
  author = {R. Becker and M. Braack and T. Richter},
  booktitle = {Reactive Flows, Diffusion and Transport},
  title = {Parallel multigrid on locally refined meshes},
  doi = {10.1007/978-3-540-28396-6_4},
  editor = {W. J\"ager and R. Rannacher and J. Warnatz},
  pages = {77--92},
  publisher = {Springer Berlin Heidelberg},
  year = {2006}
}

@inproceedings{FreiRichterWick2014a,
  author = {S. Frei and T. Richter and T. Wick},
  booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2013},
  title = {Eulerian Techniques for Fluid-Structure Interactions - {P}art I: Modeling and Simulation},
  doi = {10.1007/978-3-319-10705-9_74},
  pages = {745--753},
  publisher = {Springer},
  series = {Lecture Notes in Computational Science and Engineering},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2014-FreiRichterWick-ENUMATH1.pdf},
  volume = {103},
  year = {2015}
}

@inproceedings{FreiRichterWick2014b,
  author = {S. Frei and T. Richter and T. Wick},
  booktitle = {Numerical Mathematics and Advanced Applications - Enumath 2013},
  title = {Eulerian Techniques for Fluid-Structure Interactions - {P}art II: Applications},
  doi = {10.1007/978-3-319-10705-9_75},
  pages = {755--762},
  publisher = {Springer},
  series = {Lecture Notes in Computational Science and Engineering},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2014-FreiRichterWick-ENUMATH2.pdf},
  volume = {103},
  year = {2015}
}

@inproceedings{Richter2012,
  author = {T. Richter},
  booktitle = {PAMM - Proc. Appl. Math. Mech.},
  title = {Fluid-Structure Interactions in Fully Eulerian Coordinates},
  doi = {10.1002/pamm.201010236},
  pages = {827--830},
  series = {83st Annual Meeting of the International Association of Applied Mathematics and Mechanics},
  volume = {10},
  year = {2012}
}

@inproceedings{RichterEnumath2011,
  author = {T. Richter},
  booktitle = {Numerical Mathematics and Advanced Applications 2011, Proceedings of ENUMATH 2011},
  title = {Anisotropic Finite Elements for Fluid-Structure Interactions},
  doi = {10.1007/978-3-642-33134-3_7},
  editor = {A. Cangiani and R.L. Davidchack and E. Georgoulis and A.N. Gorban and J. Levesley and M.V. Tretyakov},
  note = {ISBN: 978-3-642-33133-6,{ }},
  pages = {63--70},
  publisher = {Springer},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/2013-Richter-ENUMATH2011.pdf},
  year = {2013}
}

@inproceedings{Richter2010,
  author = {T. Richter},
  title = {A fully Eulerian formulation for fluid-structure-interaction problems with large deformations and free structure movement},
  booktitle = {V. European Conference on Computational Fluid Dynamics},
  year = {2010},
  editor = {J.C.F. Pereira and A. Sequeira},
  address = {Lisbon},
  month = {June},
  organization = {ECCOMAS CFD}
}

@inproceedings{FiredmannRichter2010,
  author = {E. Friedmann and T. Richter},
  title = {On Drag computations of rough surfaces: modeling, simulations and model reduction by applying homogenization},
  booktitle = {V. European Conference on Computational Fluid Dynamics},
  year = {2010},
  editor = {J.C.F. Pereira and A. Sequeira},
  address = {Lisbon},
  month = {June},
  organization = {ECCOMAS CFD}
}

@inproceedings{Richter2009,
  author = {T. Richter},
  booktitle = {Modeling, Simulation and Optimization of Complex Processes},
  title = {Discontinuous Galerkin as Time-Stepping Scheme for the Navier-Stokes Equations},
  editor = {H.G. Bock and H.X. Phu and R. Rannacher and J.P. Schl{\"o}der},
  note = {Proceedings of the Fourth International Conference on High Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam},
  pages = {271--282},
  publisher = {Springer},
  year = {2012}
}

@inproceedings{BraackRichter2006,
  author = {M. Braack and T. Richter},
  title = {Stabilized adaptive finite elements for laminar burner in 3-d},
  booktitle = {Eccomas CFD Proceedings},
  year = {2006},
  editor = {Wesseling et. al.}
}

@inproceedings{BraackRichter2005,
  author = {M. Braack and T. Richter},
  booktitle = {Enumath Proceedings 2005},
  title = {Local projection stabilization for the Stokes system on anisotropic quadrilateral meshes},
  editor = {{B. de} Castro et al.},
  pages = {770--778},
  publisher = {Springer},
  year = {2005}
}

@inproceedings{RichterWick2010,
  author = {T. Richter and T. Wick},
  booktitle = {PAMM},
  title = {Fluid-Structure Interactions in ALE and Fully Eulerian Coordinates},
  number = {1},
  pages = {487--488},
  series = {81st Annual Meeting of the International Association of Applied Mathematics and Mechanics},
  volume = {10},
  year = {2010},
  doi = {https://doi.org/10.1002/pamm.201010236}
}

@inproceedings{RichterPamm2012,
  author = {T. Richter},
  booktitle = {PAMM},
  title = {Fluid-Structure Interactions in Fully Eulerian Coordinates},
  pages = {487--488},
  series = {83st Annual Meeting of the International Association of Applied Mathematics and Mechanics},
  volume = {12},
  year = {2012}
}

@phdthesis{Richter2005,
  author = {T. Richter},
  title = {Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems},
  school = {University of Heidelberg},
  year = {2005},
  note = {URN: urn:nbn:de:bsz:16-opus-57433},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/phd.pdf}
}

@mastersthesis{Richter2001,
  author = {T. Richter},
  title = {Funktionalorientierte {G}itteroptimierung f\"ur die {F}inite {E}lemente {M}ethode},
  school = {University of Heidelberg},
  year = {2001},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/diplom.pdf}
}

@misc{PPRichter2012,
  author = {T. Richter},
  title = {A Fully Eulerian Formulation for Fluid-Structure Interaction Problems},
  note = {urn:nbn:de:bsz:16-opus-132158},
  school = {Universit{\"a}t Heidelberg},
  year = {2012}
}

@misc{PPRichter2011a,
  author = {T. Richter},
  title = {Goal-oriented error estimation for fluid-structure interaction problems},
  note = {urn:nbn:de:bsz:16-opus-132144},
  school = {Universit{\"a}t Heidelberg},
  year = {2012}
}

@misc{PPRichter2011b,
  author = {T. Richter},
  title = {A monolithic multigrid solver for 3d fluid-structure interaction problems},
  note = {urn:nbn:de:bsz:16-opus-121834},
  school = {Universit{\"a}t Heidelberg},
  year = {2011}
}

@misc{PPBraackRichter2004,
  author = {M. Braack and T. Richter},
  title = {Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements},
  note = {SFB 2004-44},
  school = {SFB 359, Universit{\"a}t Heidelberg},
  year = {2004}
}

@unpublished{NUM0,
  author = {T. Richter and T. Wick},
  title = {{E}inf\"uhrung in die {N}umerische {M}athematik},
  note = {Universit\"at {H}eidelberg},
  year = {2012, 2014},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/numerik0.pdf}
}

@unpublished{NUM1,
  author = {T. Richter},
  title = {Numerische {M}ethoden f\"ur gewoehnliche und partielle {D}ifferentialgleichungen},
  note = {Universit\"at {H}eidelberg},
  year = {2010},
  opturl = {https://www.math.uni-magdeburg.de/~richter/teaching.shtml}
}

@unpublished{NUM2,
  author = {T. Richter},
  title = {Numerische {M}ethoden f\"ur partielle {D}ifferentialgleichungen},
  note = {Universit\"at {H}eidelberg},
  year = {2011},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/numerik2.pdf}
}

@unpublished{CFD,
  author = {T. Richter},
  title = {Numerische {M}ethoden in der {S}troemungsmechanik},
  note = {Universit\"at {H}eidelberg},
  year = {2014},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/numerik3.pdf}
}

@unpublished{FSI,
  author = {T. Richter},
  title = {Numerical methods for fluid-structure interactions},
  note = {Universit\"at Heidelberg},
  year = {2010, 2012},
  opturl = {https://www.math.uni-magdeburg.de/~richter/teaching.shtml}
}

@unpublished{GAS,
  author = {T. Richter},
  title = {Introduction to the finite element library Gascoigne 3d},
  note = {University of Heidelberg},
  year = {2012},
  url = {https://www.math.uni-magdeburg.de/~richter/pdf-files/gascoigne.pdf}
}

@software{Braack2021,
  author = {Braack, Malte and Becker, Roland and Meidner, Dominik and Richter, Thomas and Vexler, Boris},
  title = {The Finite Element Toolkit Gascoigne},
  doi = {10.5281/ZENODO.5574968},
  copyright = {GNU General Public License v3.0 or later},
  keywords = {finite elements, c++, Navier-Stokes, Fluid-structure interactions, adaptivity, multigrid},
  journal = {Zenodo},
  year = {2021}
}

@software{Richter2021,
  author = {Richter, Thomas and Judakova, Gozel},
  title = {Locally Modified Second Order Finite Elements},
  doi = {10.5281/ZENODO.5575064},
  copyright = {GNU General Public License v3.0 or later},
  journal = {Zenodo},
  year = {2021}
}

@article{Margenberg_2021,
  author = {Nils Margenberg and Christian Lessig and Thomas Richter},
  title = {Structure preservation for the Deep Neural Network Multigrid Solver},
  doi = {10.1553/etna_vol56s86},
  pages = {86--101},
  volume = {56},
  journal = {{ETNA} - Electronic Transactions on Numerical Analysis},
  publisher = {Osterreichische Akademie der Wissenschaften, Verlag},
  year = {2021}
}

@software{Richter2022,
  author = {Richter, Thomas and Janczyk, Markus and Ulrich, Rolf},
  title = {Diffusion models with time-dependent parameters: {"Analysis and computational effort and accuracy of different numerical methods"}},
  year = {2022},
  copyright = {Creative Commons Attribution 4.0 International},
  doi = {10.5281/ZENODO.6970739},
  keywords = {drift diffusion modeling, time-dependent problems, C++, Python},
  journal = {Zenodo}
}

@article{RichterJanczykUlrich2023,
  author = {Richter, Thomas and Janczyk, Markus and Ulrich, Rolf},
  title = {Diffusion models with time-dependent parameters: An analysis of computational effort and accuracy of different numerical methods},
  year = {2023},
  journal = {Journal of Mathematical Psychology},
  doi = {10.1016/j.jmp.2023.102756},
  volume = {114},
  eid = {102756}
}

@article{iscience2022,
  author = {Moritz Mercker and Alexey Kazarnikov and Anja Tursch and Thomas Richter and Suat Özbek and Thomas Holstein and Anna Marciniak-Czochra},
  journal = {submitted},
  title = {Mutual inhibition model showing the capacity of Dickkopf-Wnt/beta-Catenin interplay to drive Hydra body axis self-organisation},
  year = {2022}
}

@inproceedings{gamm2022,
  author = {Henry {von Wahl} and Thomas Richter},
  booktitle = {Proceedings in Applied Mathematics and Mechanics},
  title = {An Eulerian time-stepping scheme for a coupled parabolic moving domain problem using equal-order unfitted finite elements},
  volume = {22},
  number = {1},
  year = {2023},
  doi = {10.1002/pamm.202200003}
}

@inproceedings{Margenberg_2022,
  author = {N. Margenberg and C. Lessig and T. Richter},
  title = {The neural network multigrid solver for the Navier-Stokes equations and its application to 3D simulation},
  booktitle = {8th European Congress on Computational Methods in Applied Sciences and Engineering},
  year = {2022},
  publisher = {{CIMNE}},
  doi = {10.23967/eccomas.2022.271}
}

@dataset{Mehlmannetal,
  author = {Carolin Mehlmann and Sergey Danilov and Martin Losch and Jean-Francois Lemieux and Nils Hutter and Thomas Richter and Philippe Blain and Elizabeth Clare Hunke and Peter Korn},
  title = {Sea Ice Numerical VP-Comparison Benchmark},
  year = {2021},
  doi = {10.17632/KJ58Y3SDTK.1},
  keywords = {Sea Ice Dynamics},
  journal = {Mendeley Dataset}
}

@article{Rodrigues2022,
  author = {S.J. Rodrigues and N. Vorhauer-Huget and T. Richter and E. Tsotsas},
  journal = {Processes},
  title = {Influence of particle shape on tortuosity of non-spherical particle packed beds},
  year = {2022},
  number = {1},
  pages = {3},
  volume = {11},
  doi = {10.3390/pr11010003},
  publisher = {{MDPI} {AG}}
}

@article{deAlmeidaKonzen2022,
  author = {P.H. {de Almeida Konzen} and L.F. Guidi and T. Richter},
  journal = {Defect and Diffusion Forum},
  title = {Quasi-random discrete ordinates method to radiative transfer equation with linear anisotropic scattering},
  year = {2022},
  issn = {978-85-5722-474-2},
  pages = {109--119},
  volume = {427},
  arxiv = {https://arxiv.org/abs/2307.09159},
  doi = {10.4028/p-qWLV5Y},
  publisher = {Trans Tech Publications, Ltd.}
}

@inproceedings{deAlmeidaKonzen2023,
  author = {P.H. {de Almeida Konzen} and L.F. Guidi and T. Richter},
  booktitle = {Anais do(a) Anais do Encontro Nacional de Modelagem Computacional, Encontro de Ci{\^{e}}ncia e Tecnologia de Materiais, Confer{\^{e}}ncia Sul em Modelagem Computacional e Semin{\'{a}}rio e Workshop em Engenharia Oce{\^{a}}nica},
  title = {Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering},
  year = {2023},
  publisher = {Even3},
  doi = {10.29327/1142685.25-41},
  journal = {Encontro Nacional de Modelagem Computacional (XXV ENMC) annals}
}

@article{Dominguez2023,
  author = {D. Dominguez and L. Lautsch and T. Richter},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  title = {A variational approach for temporal multiscale problems and its application to adaptivity and optimization},
  eid = {e202300193},
  year = {2023},
  doi = {https://doi.org/10.1002/pamm.202300193}
}

@article{Kapustsin2023,
  author = {U. Kapustsin and U. Kaya and T. Richter},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  title = {A hybrid finite element/neural network solver and its application to the Poisson problem},
  year = {2023},
  eid = {e202300135},
  url = {http://arxiv.org/abs/2307.00947},
  doi = {10.1002/pamm.202300135}
}

@article{Gkimisis2023,
  author = {L. Gkimisis and T. Richter and P. Benner},
  journal = {Computers and Fluids},
  volume = {275},
  eid = {106248},
  doi = {10.1016/j.compfluid.2024.106248},
  title = {Adjacency-based, non-intrusive reduced-order modeling for Fluid-Structure Interactions},
  year = {2024}
}

@software{Kapustsin2023aZ,
  author = {U. Kapustsin and U. Kaya and T. Richter},
  title = {Implementation of a hybrid neural network solver for the Poisson problem},
  year = {2023},
  doi = {10.5281/zenodo. 10014220},
  journal = {Zenodo}
}

@article{Kapustsin2023a,
  author = {U. Kapustsin and U. Kaya and T. Richter},
  journal = {submitted},
  title = {Error analysis for hybrid finite element/neural network discretizations},
  year = {2023}
}

@article{Jendersie2023,
  author = {Robert Jendersie and Christian Lessig and Thomas Richter},
  journal = {submitted},
  title = {Towards a GPU-parallelization of the neXtSIM-DG Dynamical Core},
  year = {2023}
}

@comment{{jabref-meta: databaseType:bibtex;}}