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

Recently submitted publications

Martin J. Kühn, Daniel Abele, Tanmay Mitra, Wadim Koslow, Majid Abedi, Kathrin Rack, Martin Siggel, Sahamoddin Khailaie, Margrit Klitz, Sebastian Binder, Luca Spataro, Jonas Gilg, Jan Kleinert, Matthias Häberle, Lena Plötzke, Christoph D. Spinner, Melanie Stecher, Xiao Xiang Zhu, Achim Basermann, Michael Meyer-Hermann. Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution (2020). Preprint.
Martin J. Kühn, Carola Kruse, Ulrich Rüde. Energy-minimizing, symmetric finite differences for anisotropic meshes and energy functional extrapolation (2020). Preprint
Martin J. Kühn, Carola Kruse, Ulrich Rüde. Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications (2020). Preprint

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 Link.
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. Link.
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. 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. 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). 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.