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2022
Klawonn, Axel ORCID: 0000-0003-4765-7387 and Lanser, Martin
ORCID: 0000-0002-4232-9395
(2022).
Efficient Adaptive Elimination Strategies in Nonlinear FETI-DP Methods in Combination with Adaptive Spectral Coarse Spaces.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Wasiak, Adam
ORCID: 0000-0002-5705-9754
(2022).
Three-level BDDC for Virtual Elements.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Weber, Janine
ORCID: 0000-0002-6692-2230
(2022).
Adaptive Three-level BDDC Using Frugal Constraints.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Weber, Janine
ORCID: 0000-0002-6692-2230
(2022).
Learning Adaptive Coarse Basis Functions of FETI-DP.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Weber, Janine
ORCID: 0000-0002-6692-2230
(2022).
Learning Adaptive FETI-DP Constraints for Irregular Domain Decompositions.
Technical Report.
2021
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387 and Lanser, Martin
ORCID: 0000-0002-4232-9395
(2021).
Adaptive Nonlinear Domain Decomposition Methods.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2021).
Predicting the geometric location of critical edges in adaptive GDSW overlapping domain decomposition methods using deep learning.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Uran, Matthias
(2021).
Fully-Coupled Micro-Macro Finite Element Simulations of the Nakajima Test Using Parallel Computational Homogenization.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin and Uran, Matthias
(2021).
Adaptive Nonlinear Elimination in Nonlinear FETI-DP Methods.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Wasiak, Adam
(2021).
Adaptive and Frugal FETI-DP for Virtual Elements.
Technical Report.
2020
Grimm, Viktor, Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2020).
Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2020).
Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2020).
Combining Machine Learning and Domain Decomposition Methods – A Review.
Technical Report.
2019
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2019).
A Frugal FETI-DP and BDDC Coarse Space for Heterogeneous Problems.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2019).
Machine Learning in Adaptive FETI-DP - Reducing the Effort in Sampling.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104 and Lanser, Martin
(2019).
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Köhler, Stephan, Lanser, Martin and Rheinbach, Oliver
(2019).
Computational Homogenization with Million-way Parallelism using Domain Decomposition Methods.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver and Weber, Janine
(2019).
Preconditioning the coarse problem of BDDC methods - Three-level, algebraic multigrid, and vertex-based preconditioners.
Technical Report.
2018
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2018).
Machine Learning in Adaptive FETI-DP - A Comparison of Smart and Random Training Data.
Technical Report.
Heinlein, Alexander and Lanser, Martin
(2018).
Coarse Spaces for Nonlinear Schwarz Methods on Unstructured Grids.
Technical Report.