Publications

Published

Monolithic Parallel Overlapping Schwarz Methods in Fully-Coupled Nonlinear Chemo-Mechanics Problems, Bjoern Kiefer, Stefan Prüger, Oliver Rheinbach, and Friederike Röver . In: Comput Mech 71, 765–788 (2023).https://doi.org/10.1007/s00466-022-02254-y  Bibtex

A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. Alexander Heinlein,  Axel Klawonn, Oliver Rheinbach, and Friederike Röver. Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. 2023 https://doi.org/10.1007/978-3-030-95025-5_54 preprint: https://www.researchgate.net/profile/Oliver-Rheinbach/publication/351056801 Bibtex

Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer. Alexander Heinlein, Oliver Rheinbach, and Friederike Röver.  SIAM Journal on Scientific Computing, 2022, Nr. 0, S. S173-S198. https://doi.org/10.1137/21M1431205 preprint:https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2021-03.pdf Bibtex

Variational Settings and Domain Decomposition Based Solution Schemes for a Coupled Deformation-Diffusion Problem. Bjoern Kiefer, Oliver Rheinbach, Friederike Röver, and Stephan Roth.  PAMM, 2021, 20. Jg., Nr. 1, S. e202000272.https://doi.org/10.1002/pamm.202000272 preprint:https://www.researchgate.net/profile/Bjoern-Kiefer/publication/348775402 Bibtex

Variational Methods and Parallel Solvers in Chemo-Mechanics. Bjoern Kiefer, Stefan Prüger, Oliver Rheinbach, Friederike Röver, and Stephan Roth. PAMM, 2021, 20. Jg., Nr. 1, S. e202000272. https://doi.org/10.1002/pamm.202000272 preprint:https://www.researchgate.net/profile/Bjoern-Kiefer/publication/348775402 Bibtex

Choosing the Subregions inThree-Level FROSch Preconditioners.  Alexander Heinlein, Oliver Rheinbach, and Friederike Röver .In: WCCM-ECCOMAS,2021 https://doi.org/10.23967/wccm-eccomas.2020.084 Bibtex

A Multi-Level Extension of the GDSW Overlapping Schwarz Preconditioner. Alexander Heinlein, Oliver Rheinbach, and Friederike Röver. Computational Methods in Applied Mathematics. 2023;23(4): 953-968. https://doi.org/10.1515/cmam-2022-0168   Bibtex

Multi-Level Extensions for the Fast and Robust Overlapping Schwarz Preconditioners. Friederike Röver. Dissertationsschrift

Accepeted

Submitted

A Comparison of a Minimization and Saddle Point Formulation Implemented in deal.II. Akshay Balachandran Jeeja, Bjoern Kiefer, Stefan Prüger,  Oliver Rheinbach, and Friederike Röver. Submitted to PAMM 2024, 05/2024