skip to content

Faculty of Mathematics and Natural SciencesProf. Dr. Axel Klawonn

Dr. M. Kühn

Publications

For a current list of publications, please see Google Scholar.

  1. A. Klawonn, M. Kühn, O. Rheinbach, "Adaptive Coarse Spaces for FETI-DP in Three Dimensions", SIAM J. Sci. Comput., Vol. 38(5), pp. A2880–A2911. Submitted November 2015, published electronically September 2016. Preprint. Accepted version. Link.
     
  2. A. Klawonn, M. Kühn, O. Rheinbach, "Using Local Spectral Information in Domain Decomposition Methods - A Brief Overview in a Nutshell",  Proc. Appl. Math. Mech., 16: 729–730 (2016). Accepted version. Link.
     
  3. A. Klawonn, M. Kühn, O. Rheinbach, "Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems", Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, vol. 116, March 2017, pp 187-196. Accepted version. Link.
     
  4. A. Klawonn, M. Kühn, O. Rheinbach,"Adaptive FETI-DP and BDDC methods with a Generalized Transformation of Basis for Heterogeneous Problems". Electronic Transactions on Numerical Analysis (ETNA), Vol. 49, pp. 1-27, 2018. Submitted July 2017, published electronically March 2018. Preprint. Link.
     
  5. A. Klawonn, M. Kühn, O. Rheinbach, "Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP". In: Bjørstad P. et al. (eds) Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Lecture Notes in Computational Science and Engineering, vol 125, pp 415-423. Springer, Cham. Link.
     
  6. A. Klawonn, M. J. Kühn, O. Rheinbach, "Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing". International Journal for Numerical Methods in Engineering, 2019. Preprint. Link.
     
  7. Axel Klawonn, Martin Kühn, Oliver Rheinbach, "A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC". Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham, 2020.  Preprint, Link.
     
  8. Alexander Heinlein, Axel Klawonn, Martin Kühn, "Local spectra of adaptive domain decomposition methods". Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham, 2020. Preprint, Link.
     
  9. A. Klawonn, M. Kühn, O. Rheinbach, "Coarse spaces for FETI-DP and BDDC Methods for heterogeneous problems: Connections of Deflation and a Generalized Transformation-of-Basis Approach". Electronic Transactions on Numerical Analysis (ETNA), Vol. 52, pp. 43-76, 2020. Preprint, Link.

Dissertation

  • Martin J. Kühn, "Adaptive FETI-DP and BDDC methods for highly heterogeneous elliptic finite element problems in three dimensions", Dissertation, Universität zu Köln (2018). Link to Dissertation. Link to Errata.