A list of FROSch-related publications:

Published

: A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods. Daniel Balzani, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Saßmannshausen, and Klemens Uhlmann. GAMM-Mitteilungen, 47(1):e202370002, 2024. [ bib | DOI | http ]
: A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions. Alexander Heinlein, Oliver Rheinbach, and Friederike Röver. Computational Methods in Applied Mathematics, 23(4):953--968, 2023. [ bib | DOI | http ]
: A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics. Alexander Heinlein, Björn Kiefer, Stefan Prüger, Oliver Rheinbach, and Friederike Röver. 2023. [ bib | DOI | http ]
: An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs. Ichitaro Yamazaki, Alexander Heinlein, and Sivasankaran Rajamanickam, pages 680--689. 2023. [ bib | DOI | http ]
: 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, pages 505--513. Springer International Publishing, 2023. [ bib | DOI | http ]
: Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems. Björn Kiefer, Stefan Prüger, Oliver Rheinbach, and Friederike Röver. Computational Mechanics, 71(4):765--788, 2023. [ bib | DOI ]
: Multi-level extensions for the fast and robust overlapping Schwarz preconditioners. Friederike Röver. PhD thesis, TU Bergakademie Freiberg, 2022. [ bib ]
: Parallel Scalability of Three-Level FROSch Preconditioners to 220 000 Cores using the Theta Supercomputer. Alexander Heinlein, Oliver Rheinbach, and Friederike Röver. SIAM J. Sci. Comput., 3(45):S173--S198, 2022. Preprint https://pure.tudelft.nl/ws/portalfiles/portal/148467242/Heinlein_et_al._2022_Parallel_Scalability_of_Three_Level_FROSch_Precond.pdf. [ bib | DOI ]
: FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica. Alexander Heinlein, Mauro Perego, and Sivasankaran Rajamanickam. SIAM J. Sci. Comput., 44(2):B339--B367, 2022. Preprint https://kups.ub.uni-koeln.de/id/eprint/30668. [ bib | DOI ]
: Variational Settings and Domain Decomposition Based Solution Schemes for a Coupled Deformation-Diffusion Problem. Börn Kiefer, Oliver Rheinbach, Stefan Prüger, Oliver Rheinbach, Friederike Röver, and Stephan Roth. PAMM, 21(1):e202100163, 2021. [ bib | DOI ]
: Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems. Alexander Heinlein, Christian Hochmuth, and Axel Klawonn, pages 531--539. Springer International Publishing, 2021. Preprint https://kups.ub.uni-koeln.de/id/eprint/10441. [ bib | DOI ]
: Choosing the Subregions in Three-Level FROSch Preconditioners. Alexander Heinlein, Oliver Rheinbach, and Friederike Röver. WCCM-ECCOMAS2020, 2021. [ bib | DOI | http ]
: Variational Methods and Parallel Solvers in Chemo-Mechanics. Björn Kiefer, Oliver Rheinbach, Stephan Roth, and Friederike Röver. PAMM, 20(1):e202000272, 2021. [ bib | DOI | http ]
: Parallel Overlapping Schwarz Preconditioners for Incompressible Fluid Flow and Fluid-Structure Interaction Problems. Christian Hochmuth. PhD thesis, Universität zu Köln, 2020. [ bib | http ]
: FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos. Alexander Heinlein, Axel Klawonn, Sivasankaran Rajamanickam, and Oliver Rheinbach, pages 176--184. Springer International Publishing, 2020. Preprint https://kups.ub.uni-koeln.de/9018/. [ bib | DOI ]
: A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, and Friederike Röver, pages 185--192. Springer International Publishing, 2020. Preprint https://kups.ub.uni-koeln.de/9017/. [ bib | DOI ]
: Reduced Dimension GDSW Coarse Spaces for Monolithic Schwarz Domain Decomposition Methods for Incompressible Fluid Flow Problems. Alexander Heinlein, Christian Hochmuth, and Axel Klawonn. International Journal for Numerical Methods in Engineering, 121(6):1101--1119, 2020. Preprint https://kups.ub.uni-koeln.de/8645/. [ bib | DOI | http ]
: Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal.II. Alexander Heinlein, Oliver Rheinbach, Friederike Röver, Stefan Sandfeld, and Dominik Steinberger. PAMM, 19(1):e201900337, 2019. [ bib | DOI | http ]
: A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, and Friederike Röver, pages 187--204. Springer International Publishing, 2019. Preprint 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. [ bib | DOI ]
: Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems. Alexander Heinlein, Christian Hochmuth, and Axel Klawonn. SIAM J. Sci. Comput., 41(4):C291--C316, 2019. Preprint https://kups.ub.uni-koeln.de/8355/. [ bib | DOI ]
: Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, and Olof Widlund, pages 383--392. Springer International Publishing, 2019. [ bib | DOI ]
: Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space. Alexander Heinlein, Axel Klawonn, and Oliver Rheinbach, pages 353--360. Springer International Publishing, 2017. Preprint http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2016-03_fertig.pdf. [ bib | DOI ]
: A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on Trilinos. Alexander Heinlein, Axel Klawonn, and Oliver Rheinbach. SIAM J. Sci. Comput., 38(6):C713--C747, 2016. Preprint http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2016-04_fertig.pdf. [ bib | DOI ]
: Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. Alexander Heinlein, Axel Klawonn, and Oliver Rheinbach, pages 521--530. Springer International Publishing, 2016. Preprint http://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2015-15_fertig_0.pdf. [ bib | DOI ]
: Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems. Alexander Heinlein. PhD thesis, Universität zu Köln, 2016. [ bib | http ]

Accepted

Submitted

In Preparation

: FROSch -- A framework for parallel Schwarz preconditioners in Trilinos. Alexander Heinlein, Axel Klawonn, Sivasankaran Rajamanickam, and Oliver Rheinbach. In preparation. [ bib ]