Dr. Martin J. Kühn - DLR Institute for Software Technology

Recently submitted publications

W. Koslow, M. J. Kühn, S. Binder, M. Klitz, D. Abele, A. Basermann, M. Meyer-Hermann, "Appropriate relaxation of non-pharmaceutical interventions minimizes the risk of a resurgence in SARS-CoV-2 infections in spite of the Delta variant" (2021). Preprint
M. J. Kühn, D. Abele, S. Binder, K. Rack, M. Klitz, J. Kleinert, J. Gilg, L. Spataro, W. Koslow, M. Siggel, M. Meyer-Hermann, A. Basermann. Regional opening strategies with commuter testing and containment of new SARS-CoV-2 variants (2021). Preprint.
M. J. Kühn, C. Kruse, U. Rüde. Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications (2020). Preprint

M. J. Kühn, D. Abele, T. Mitra, W. Koslow, M. Abedi, K. Rack, M. Siggel, S. Khailaie, M. Klitz, S. Binder, Luca Spataro, J. Gilg, J. Kleinert, M. Häberle, L. Plötzke, C. D. Spinner, M. Stecher, X. X. Zhu, A. Basermann, M. Meyer-Hermann, "Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution". Mathematical Biosciences 339, 108648 (2021). Link Preprint.
M. J. Kühn, C. Kruse, U. Rüde, "Energy-Minimizing, Symmetric Discretizations for Anisotropic Meshes and Energy Functional Extrapolation", SIAM J. Sci. Comput. Vol. 43(4), pp. A2448-A2473 (2021). Preprint Download accepted version Link

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 52 (2020): 43-76. Preprint Download.
A. Klawonn, M. J. Kühn, O. Rheinbach, "Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing". International Journal for Numerical Methods in Engineering, 2020. Preprint. Link.

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. Preprint. Download.
A. Klawonn, M. J. Kühn, O. Rheinbach, "A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC". Proceedings of the 25th International Conference on Domain Decomposition Methods, DD XXV, St. John's NL, July, 23-27, 2018. Preprint Link.
A. Heinlein, A. Klawonn, M. J. Kühn, "Local spectra of adaptive domain decomposition methods". Proceedings of the 25th International Conference on Domain Decomposition Methods, DD XXV, St. John's NL, July, 23-27, 2018. Preprint Link.

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. Download accepted version. Link.
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.

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. Preprint. Download accepted version. Link.
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). Download accepted version. Link.

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.

Mathematics (and programming) for refugees at University of Cologne, established 2016.