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Faculty of Mathematics and Natural SciencesProf. Dr. Axel Klawonn

Publications Matthias Uran

Publications

  1. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran, "New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables", Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, Vol. 116, March 2017, pp. 207-215. https://doi.org/10.1007/978-3-319-52389-7_20

  2. Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Matthias Uran, "Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results", SIAM J. Sci. Comput. 39 (2017), no. 6, C417–C451. pdf version

  3. Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Matthias Uran, "On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition", Proceedings of the International Conference on Domain Decomposition Methods 24. Springer Lecture Notes on Computational Science and Engineering, Vol. 125, 2018, pp. 435-443. https://doi.org/10.1007/978-3-319-93873-8_41
  4. Axel Klawonn, Martin Lanser, Matthias Uran, Oliver Rheinbach, Stephan Köhler, Jörg Schröder, Lisa Scheunemann, Dominik Brands, Daniel Balzani, Ashutosh Gandhi, Gerhard Wellein, Markus Wittmann, Olaf Schenk, Radim Janalík, "EXASTEEL - Towards a virtual laboratory for the multiscale simulation of dual-phase steel using high-performance computing". In: Bungartz HJ., Reiz S., Uekermann B., Neumann P., Nagel W. (eds) Software for Exascale Computing - SPPEXA 2016-2019. Lecture Notes in Computational Science and Engineering, vol 136. Springer, Cham., 2020. PDF and https://doi.org/10.1007/978-3-030-47956-5_13
  5. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran "Fully-Coupled Micro-Macro Finite Element Simulations of the Nakajima Test Using Parallel Computational Homogenization". Computational Mechanics, Vol. 68, pages 1153–1178, Springer Nature, 2021. https://doi.org/10.1007/s00466-021-02063-9,  Preprint.

Accepted for publication

  1. Axel Klawonn, Martin Lanser, Matthias Uran, "Adaptive Nonlinear Elimination in Nonlinear FETI-DP Methods". Accepted for Publication in DD26 Proceedings, 2021. Preprint.

Dissertation

  • Matthias Uran, "High-Performance Computing Two-Scale Finite Element Simulations of a Contact Problem Using Computational Homogenization - Virtual Forming Limit Curves for Dual-Phase Steels", Dissertation, Universität zu Köln, Juli 2020. Link to Dissertation.