zum Inhalt springen

Publications

 

  1. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, Nonlinear FETI-DP and BDDC Methods, SIAM J. Sci. Comput., Vol. 36, No. 2, 2014, pp. 737-765, dowload pdf  http://dx.doi.org/10.1137/130920563.
  2. Axel Klawonn, Martin Lanser, Patrick Radtke, and Oliver Rheinbach, On an Adaptive Coarse Space and on Nonlinear Domain Decomposition, In: Domain Decomposition Methods in Science and Engineering XXI, Editors: Erhel, J., Gander, M.,Halpern, L., Pichot, G., Sassi, T., Widlund, O.B. Springer Lecture Notes on Computational Science and Engineering, Vol. 98, 2014, pp. 71-83. Proceedings of the 21st International Conference on Domain Decomposition Methods in Science and Engineering, Rennes, France, June 25-29, 2012.  PDF pdf  http://dx.doi.org/10.1007/978-3-319-05789-7_6
  3. Axel Klawonn, Martin Lanser, and Oliver Rheinbach. EXASTEEL - Computational Scale Bridging using a FE2TI approach with ex_nl/FE^2. In Dirk Brömmel, Wolfgang Frings, and Brian J. N. Wylie, editor, JUQUEEN Extreme Scaling Workshop 2015, Technical Report, 2015. Report
  4. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, A Nonlinear FETI-DP Method with an Inexact Coarse Problem, Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 2015. 12p. http://link.springer.com/book/10.1007/978-3-319-18827-0
  5. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Holger Stengel and Gerhard Wellein, Hybrid MPI/OpenMP parallelization in FETI-DP methods", Proceedings of "Recent Trends in Computational Engineering - CE2014, Springer Lecture Notes on Computational Science and Engineering, Vol. 105, pp. 67-84, 2015.  Link and Preprint.
  6. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations, SIAM J. Sci. Comp., Vol. 37, No. 6, December 8, 2015, pp. C667-C696,  http://dx.doi.org/10.1137/140997907 and pdf.
  7. Axel Klawonn, Martin Lanser, and Oliver Rheinbach. iFETI: Scalable Nonlinear FETI-DP/Multigrid Methods. In Dirk Brömmel, Wolfgang Frings, and Brian J. N. Wylie, editor, JUQUEEN Extreme Scaling Workshop 2016, Technical Report, 2016.  PDF Report
  8. Axel Klawonn, Martin Lanser, Oliver Rheinbach, FE^2TI: Computational Scale Bridging for Dual-Phase Steels. Proceedings of ParCo 2015, pp. 797 - 806, IOS Series: Advances in Parallel Computing, Volume 27, Parallel Computing: On the Road to Exascale, 2016. Preprint.
  9. Allison H. Baker, Axel Klawonn, Tzanio Kolev, Martin Lanser, Oliver Rheinbach, Ulrike Meier Yang, Scalability of Classical Algebraic Multigrid for Elasticity to Half a Million Parallel Tasks, Software for Exascale Computing - SPPEXA 2013-2015, vol. 113 Springer LNCSE, pages 113-140, 2016.  Preprint.
  10. D. Balzani, A. Gandhi, A. Klawonn, M. Lanser, O. Rheinbach, J. Schröder, One-way and fully-coupled FE^2 methods for heterogeneous elasticity and plasticity problems: Parallel scalability and an application to thermo-elastoplasticity of dual-phase steels, Software for Exascale Computing - SPPEXA 2013-2015, vol. 113 Springer LNCSE, pages 91--112, 2016. Preprint.
  11. A. Klawonn, M. Lanser, O.Rheinbach, EXASTEEL - From Micro to Macro Properties, InSiDE, Autumn 2016, pages 80 - 85.
  12. Axel Klawonn, Martin Lanser, Oliver Rheinbach, A Highly Scalable Implementation of Inexact Nonlinear FETI-DP without Sparse Direct Solvers. Proceedings of the ENUMATH Conference 2015, Springer Lect. Notes Comput. Sci. Eng., Vol. 112,  Preprint.
  13. A. Klawonn, M. Lanser, B. Niehoff, P. Radtke, O. Rheinbach, Newton-Krylov-FETI-DP with Adaptive Coarse Spaces, Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, Vol. 116, March 2017, pp. 197-205.  https://doi.org/10.1007/978-3-319-52389-7_19.
  14. A. Klawonn, M. Lanser, O. Rheinbach, M. 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

Accepted for publication

  1. Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Matthias Uran. Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results, Accepted for publication in SIAM J. Sci. Comp.,  August 2017.
  2. A. Klawonn, M. Lanser, L. Scheunemann, J. Schröder, Hochleistungsrechnen trifft Hochleistungsstahl: Herausforderungen zweier Welten, UNIKATE, Universität Duisburg-Essen, to appear 2017.

 

Submitted for publication  

  1. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods, Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  2. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran, Choosing the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition, Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  3. A. Klawonn, M. Lanser, O. Rheinbach, Nonlinear BDDC Methods with Inexact Solvers. Submitted August 2017.  

 

Dissertation 

  • Martin Lanser, Nonlinear FETI-DP and BDDC Methods, Dissertation, Universität zu Köln, 2015, Online Publication