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Journal Article
Grimm, Viktor ORCID: 0000-0001-5300-3705, Heinlein, Alexander
ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
ORCID: 0000-0002-6692-2230
(2022).
ESTIMATING THE TIME-DEPENDENT CONTACT RATE OF SIR AND SEIR MODELS IN MATHEMATICAL EPIDEMIOLOGY USING PHYSICS-INFORMED NEURAL NETWORKS.
Electron. Trans. Numer. Anal., 56.
S. 1 - 28.
KENT:
KENT STATE UNIVERSITY.
ISSN 1068-9613
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2021).
COMBINING MACHINE LEARNING AND ADAPTIVE COARSE SPACES---A HYBRID APPROACH FOR ROBUST FETI-DP METHODS IN THREE DIMENSIONS.
SIAM J. Sci. Comput., 43 (5).
S. S816 - 23.
PHILADELPHIA:
SIAM PUBLICATIONS.
ISSN 1095-7197
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin and Weber, Janine
(2019).
MACHINE LEARNING IN ADAPTIVE DOMAIN DECOMPOSITION METHODS-PREDICTING THE GEOMETRIC LOCATION OF CONSTRAINTS.
SIAM J. Sci. Comput., 41 (6).
S. A3887 - 26.
PHILADELPHIA:
SIAM PUBLICATIONS.
ISSN 1095-7197
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.
Electron. Trans. Numer. Anal., 51.
S. 432 - 451.
KENT:
KENT STATE UNIVERSITY.
ISSN 1068-9613
Preprints, Working Papers or Reports
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.
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, 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 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, 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.
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin Heinrich and Weber, Janine
(2018).
Machine Learning in adaptive domain decomposition methods - predicting the geometric location of constraints.
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.
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.
Thesis
Weber, Janine ORCID: 0000-0002-6692-2230
(2022).
Efficient and robust FETI-DP and BDDC methods -- Approximate coarse spaces and deep learning-based adaptive coarse spaces.
PhD thesis, Universität zu Köln.