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Dr. M. Kühn:

Publications

  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. 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). 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. 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.

Accepted for publication

  1. A. Klawonn, M. Kühn, O. Rheinbach, "Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP". Accepted for publication in the proceedings of the International Conference on Domain Decomposition Methods 24, May 2017.

Submitted for publication

  1. 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". Submitted. Preprint.

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