published.bib
@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 = {0},
pages = {S173--S198},
volume = {0},
year = {2022},
doi = {10.1137/21M1431205},
note = {Preprint \url{https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2021-03.pdf}}
}
@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}
}
@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}
}