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Preprints, Working Papers or Reports
Balzani, Daniel ORCID: 0000-0002-1422-4262, Heinlein, Alexander
ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Schröder, Jörg
(2022).
Comparison of Arterial Wall Models in Fluid-Structure Interaction Simulations.
Technical Report.
Eichinger, Matthias, Heinlein, Alexander ORCID: 0000-0003-1578-8104 and Klawonn, Axel
ORCID: 0000-0003-4765-7387
(2019).
Stationary flow predictions using convolutional neural networks.
Technical Report.
Eichinger, Matthias, Heinlein, Alexander ORCID: 0000-0003-1578-8104 and Klawonn, Axel
ORCID: 0000-0003-4765-7387
(2020).
Surrogate Convolutional Neural Network Models for Steady Computational Fluid Dynamics Simulations.
Technical Report.
Giese, Daniel, Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235 and Peters, Kristina
ORCID: 0000-0003-3064-0247
(2019).
Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - A benchmark problem.
Technical Report.
Giese, Daniel, Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235 and Peters, Kristina
ORCID: 0000-0003-3064-0247
(2019).
Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - Influence of noisy MRI measurements.
Technical Report.
Grimm, Viktor ORCID: 0000-0001-5300-3705, Heinlein, Alexander
ORCID: 0000-0003-1578-8104 and Klawonn, Axel
ORCID: 0000-0003-4765-7387
(2022).
A short note on solving partial differential equations using convolutional neural networks.
Technical Report.
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, Hochmuth, Christian and Klawonn, Axel
ORCID: 0000-0003-4765-7387
(2019).
Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems.
Technical Report.
Heinlein, Alexander, Hochmuth, Christian and Klawonn, Axel ORCID: 0000-0003-4765-7387
(2018).
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Saddle Point Problems.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Hochmuth, Christian and Klawonn, Axel
ORCID: 0000-0003-4765-7387
(2019).
Reduced Dimension GDSW Coarse Spaces for Monolithic Schwarz Domain Decomposition Methods for Incompressible Fluid Flow Problems.
Technical Report.
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235 and Rheinbach, Oliver
(2018).
Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions.
Technical Report.
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235, Rheinbach, Oliver and Widlund, Olof B.
(2020).
Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods.
Technical Report.
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387 and Kühn, Martin Joachim
ORCID: 0000-0002-0906-6984
(2018).
Local spectra of adaptive domain decomposition methods.
Technical Report.
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
(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.
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rajamanickam, Sivasankaran and Rheinbach, Oliver
(2018).
FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos.
Technical Report.
Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rheinbach, Oliver and Röver, Friederike
(2018).
A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions.
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, Kühn, Martin Joachim
ORCID: 0000-0002-0906-6984 and Rheinbach, Oliver
(2019).
Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Kühn, Martin Joachim
ORCID: 0000-0002-0906-6984 and Rheinbach, Oliver
(2018).
A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC.
Technical Report.
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, 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, 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 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.
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.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin Heinrich, Rheinbach, Oliver, Wellein, Gerhard and Wittmann, Markus
(2018).
Energy Efficiency of Nonlinear Domain Decomposition Methods.
Technical Report.