published.bib

@article{Balzani:2024:PST,
  author = {Balzani, Daniel and Heinlein, Alexander and Klawonn, Axel and Knepper, Jascha and Ramesh, Sharan Nurani and Rheinbach, Oliver and Sa{\ss}mannshausen, Lea and Uhlmann, Klemens},
  title = {A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods},
  journal = {GAMM-Mitteilungen},
  number = {1},
  pages = {e202370002},
  volume = {47},
  year = {2024},
  doi = {10.1002/gamm.202370002},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.202370002}
}

@article{Heinlein:2023:PST,
  author = {Heinlein, Alexander and Rheinbach, Oliver and R{\"o}ver, Friederike},
  title = {A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions},
  journal = {Computational Methods in Applied Mathematics},
  number = {4},
  pages = {953--968},
  volume = {23},
  year = {2023},
  doi = {10.1515/cmam-2022-0168},
  url = {https://doi.org/10.1515/cmam-2022-0168}
}

@inbook{Heinlein:2023:CDS,
  author = {Heinlein, Alexander and Kiefer, Bj{\"o}rn and Pr{\"u}ger, Stefan and Rheinbach, Oliver and R{\"o}ver, Friederike},
  title = {A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics},
  booktitle = {10th edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering},
  year = {2023},
  doi = {10.23967/c.coupled.2023.008},
  url = {https://www.scipedia.com/public/_2023i}
}

@inbook{Yamazaki:2023:EST,
  author = {Yamazaki, Ichitaro and Heinlein, Alexander and Rajamanickam, Sivasankaran},
  title = {An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs},
  booktitle = {2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
  pages = {680--689},
  year = {2023},
  doi = {10.1109/IPDPS54959.2023.00073},
  url = {https://ieeexplore.ieee.org/document/10177474}
}

@inbook{Heinlein:2023:TLE,
  author = {Heinlein, Alexander and Klawonn, Axel and Rheinbach, Oliver and R\"over, Friederike},
  title = {A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXVI},
  pages = {505--513},
  publisher = {Springer International Publishing},
  year = {2023},
  doi = {10.1007/978-3-030-95025-5_54},
  url = {https://link.springer.com/chapter/10.1007/978-3-030-95025-5_54}
}

@article{Kiefer:2023:MPO,
  author = {Kiefer, Bj\"{o}rn and Pr\"{u}ger, Stefan and Rheinbach, Oliver and R\"{o}ver, Friederike},
  title = {Monolithic parallel overlapping {Schwarz} methods in fully-coupled nonlinear chemo-mechanics problems},
  journal = {Computational Mechanics},
  number = {4},
  pages = {765--788},
  volume = {71},
  year = {2023},
  doi = {10.1007/s00466-022-02254-y}
}

@phdthesis{Roever:2022:ML,
  title = {Multi-level extensions for the fast and robust overlapping Schwarz preconditioners},
  author = {R{\"o}ver, Friederike},
  year = {2022},
  school = {TU Bergakademie Freiberg}
}

@article{Heinlein:2022:PST,
  author = {Heinlein, Alexander and Rheinbach, Oliver and R{\"o}ver, Friederike},
  title = {Parallel Scalability of Three-Level FROSch Preconditioners to 220 000 Cores using the Theta Supercomputer},
  journal = {SIAM J. Sci. Comput.},
  number = {45},
  pages = {S173--S198},
  volume = {3},
  year = {2022},
  doi = {10.1137/21M1431205},
  note = {Preprint \url{https://pure.tudelft.nl/ws/portalfiles/portal/148467242/Heinlein_et_al._2022_Parallel_Scalability_of_Three_Level_FROSch_Precond.pdf}}
}

@article{Heinlein:2022:FRO,
  author = {Alexander Heinlein and Mauro Perego and Sivasankaran Rajamanickam},
  title = {FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica},
  journal = {SIAM J. Sci. Comput.},
  number = {2},
  pages = {B339--B367},
  volume = {44},
  year = {2022},
  doi = {10.1137/21M1395260},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/id/eprint/30668}}
}

@article{Kiefer:2021:VMPb,
  author = {Kiefer, B\"orn and Rheinbach, Oliver and Pr\"uger, Stefan and Rheinbach, Oliver and R\"over, Friederike and Roth, Stephan},
  journal = {PAMM},
  title = {Variational Settings and Domain Decomposition Based Solution Schemes for a Coupled Deformation-Diffusion Problem},
  year = {2021},
  number = {1},
  pages = {e202100163},
  volume = {21},
  doi = {10.1002/pamm.202100163}
}

@inbook{Heinlein:2021:FAT,
  author = {Alexander Heinlein and Christian Hochmuth and Axel Klawonn},
  title = {Fully algebraic two-level overlapping {S}chwarz preconditioners for elasticity problems},
  booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2019},
  pages = {531--539},
  publisher = {Springer International Publishing},
  year = {2021},
  doi = {10.1007/978-3-030-55874-1_52},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/id/eprint/10441}.}
}

@article{Roever:2021:WCCM,
  author = {Alexander Heinlein and Oliver Rheinbach and Friederike R\"over},
  title = {Choosing the Subregions in Three-Level FROSch Preconditioners},
  journal = {WCCM-ECCOMAS2020},
  year = {2021},
  doi = {10.23967/wccm-eccomas.2020.084},
  url = {https://www.scipedia.com/public/Rover_et_al_2021a}
}

@article{Kiefer:2021:VMP,
  author = {Bj\"orn Kiefer and Oliver Rheinbach and Stephan Roth and Friederike R\"over},
  title = {Variational Methods and Parallel Solvers in Chemo-Mechanics},
  journal = {PAMM},
  volume = {20},
  number = {1},
  pages = {e202000272},
  year = {2021},
  doi = {10.1002/pamm.202000272},
  url = {https://onlinelibrary.wiley.com/doi/10.1002/pamm.202000272}
}

@phdthesis{Hochmuth:2020:PSFF,
  title = {Parallel Overlapping Schwarz Preconditioners for Incompressible Fluid Flow and Fluid-Structure Interaction Problems},
  author = {Hochmuth, Christian},
  year = {2020},
  school = {Universit{\"a}t zu K{\"o}ln},
  url = {https://kups.ub.uni-koeln.de/11345}
}

@inbook{Heinlein:2020:FRO,
  author = {Alexander Heinlein and Axel Klawonn and Sivasankaran Rajamanickam and Oliver Rheinbach},
  title = {{FROSch}: A Fast And Robust Overlapping {S}chwarz Domain Decomposition Preconditioner Based on {X}petra in {T}rilinos},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXV},
  pages = {176--184},
  publisher = {Springer International Publishing},
  year = {2020},
  doi = {10.1007/978-3-030-56750-7_19},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/9018/}}
}

@inbook{Heinlein:2020:TLE,
  author = {Alexander Heinlein and Axel Klawonn and Oliver Rheinbach and Friederike R\"over},
  title = {A Three-Level Extension of the {GDSW} Overlapping {S}chwarz Preconditioner in Three Dimensions},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXV},
  pages = {185--192},
  publisher = {Springer International Publishing},
  year = {2020},
  doi = {10.1007/978-3-030-56750-7_20},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/9017/}}
}

@article{Heinlein:2020:RDG,
  author = {Alexander Heinlein and Christian Hochmuth and Axel Klawonn},
  title = {Reduced Dimension {GDSW} Coarse Spaces for Monolithic {S}chwarz Domain Decomposition Methods for Incompressible Fluid Flow Problems},
  journal = {International Journal for Numerical Methods in Engineering},
  volume = {121},
  number = {6},
  pages = {1101--1119},
  year = {2020},
  doi = {10.1002/nme.6258},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6258},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/8645/}}
}

@article{Heinlein:2019:AFR,
  author = {Alexander Heinlein and Oliver Rheinbach and Friederike R\"over and Stefan Sandfeld and Dominik Steinberger},
  title = {Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal.II},
  journal = {PAMM},
  volume = {19},
  number = {1},
  pages = {e201900337},
  year = {2019},
  doi = {10.1002/pamm.201900337},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201900337}
}

@inbook{Heinlein:2019:TLE,
  author = {Heinlein, Alexander and Klawonn, Axel and Rheinbach, Oliver and R{\"o}ver, Friederike},
  title = {A Three-Level Extension of the {GDSW} Overlapping {S}chwarz Preconditioner in Two Dimensions},
  booktitle = {Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017},
  pages = {187--204},
  publisher = {Springer International Publishing},
  year = {2019},
  doi = {10.1007/978-3-030-14244-5_10},
  note = {Preprint \url{https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/preprint_2018_04_heinlein_klawonn_rheinbach_roever.pdf}}
}

@article{Heinlein:2019:MOS,
  author = {Alexander Heinlein and Christian Hochmuth and Axel Klawonn},
  title = {Monolithic Overlapping {S}chwarz Domain Decomposition Methods with {GDSW} Coarse Spaces for Incompressible Fluid Flow Problems},
  journal = {SIAM J. Sci. Comput.},
  number = {4},
  pages = {C291--C316},
  volume = {41},
  year = {2019},
  doi = {10.1137/18M1184047},
  note = {Preprint \url{https://kups.ub.uni-koeln.de/8355/}}
}

@inbook{Heinlein:2019:IPP,
  author = {Alexander Heinlein and Axel Klawonn and Oliver Rheinbach and Olof Widlund},
  title = {Improving the Parallel Performance of Overlapping {S}chwarz Methods by Using a Smaller Energy Minimizing Coarse Space},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXIV},
  pages = {383--392},
  publisher = {Springer International Publishing},
  year = {2019},
  doi = {10.1007/978-3-319-93873-8_36}
}

@inbook{Heinlein:2017:POS,
  author = {Heinlein, Alexander and Klawonn, Axel and Rheinbach, Oliver},
  title = {Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXIII},
  pages = {353--360},
  publisher = {Springer International Publishing},
  year = {2017},
  doi = {10.1007/978-3-319-52389-7_36},
  note = {Preprint \url{http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2016-03_fertig.pdf}}
}

@article{Heinlein:2016:PIT,
  author = {Heinlein, Alexander and Klawonn, Axel and Rheinbach, Oliver},
  title = {A parallel implementation of a two-level overlapping {S}chwarz method with energy-minimizing coarse space based on {T}rilinos},
  journal = {SIAM J. Sci. Comput.},
  number = {6},
  pages = {C713--C747},
  volume = {38},
  year = {2016},
  doi = {10.1137/16M1062843},
  note = {Preprint \url{http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2016-04_fertig.pdf}}
}

@inbook{Heinlein:2016:PTO,
  author = {Heinlein, Alexander and Klawonn, Axel and Rheinbach, Oliver},
  title = {Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction},
  booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2015},
  pages = {521--530},
  publisher = {Springer International Publishing},
  year = {2016},
  doi = {10.1007/978-3-319-39929-4_50},
  note = {Preprint \url{http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2015-15_fertig_0.pdf}}
}

@phdthesis{Heinlein:2016:POS,
  author = {Heinlein, Alexander},
  title = {Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems},
  school = {Universit{\"a}t zu K{\"o}ln},
  year = {2016},
  url = {https://kups.ub.uni-koeln.de/6841}
}