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Publications

  1. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber, Machine Learning in Adaptive Domain Decomposition Methods -Predicting the Geometric Location of Constraints. SIAM J. Sci. Comput. 41 (2019), no. 6, A3887-A3912. Preprint and https://doi.org/10.1137/18M1205364.
  2. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Janine Weber. Preconditioning the coarse problem of BDDC methods - Three-level, algebraic multigrid, and vertex-based preconditioners, Electronic Transaction on Numerical Analysis, 2019, Volume 51, pp. 432-450, 2019. Preprint and https://doi.org/10.1553/etna_vol51s432

Accepted for publication

  1. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber, "Machine Learning in Adaptive FETI-DP - A Comparison of Smart and Random Training Data". Submitted for publication to the proceedings of the International Conference on Domain Decomposition Methods 25, Springer LNCSE, Accepted May 2019. Preprint.
  2. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber. "Machine Learning in Adaptive FETI-DP - Reducing the Effort in Sampling". Submitted for publication in the proceedings of the ENUMATH 2019 conference, Springer LNCSE, Accepted April 2020. Preprint.

Submitted for publication

  1. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber. "A Frugal FETI-DP and BDDC Coarse Space for Heterogeneous Problems". Submitted November 2019. Preprint.
  2. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber. "Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions". Submitted June 2020. Preprint.