Universität zu Köln

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.

Ranocha, Hendrik ORCID: 0000-0002-3456-2277 and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2020). Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. Technical Report.

Wiehe, Thomas (2020). Counting, grafting and evolving binary trees. Technical Report.

Schlottke-Lakemper, Michael, Winters, Andrew R., Gassner, Gregor J. and Ranocha, Hendrik (2020). A purely hyperbolic discontinuous Galerkin approach for self- gravitating gas dynamics. 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, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha, Rheinbach, Oliver and Widlund, Olof B. (2020). Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Technical Report.

Del Rey Fernandez, David C., Carpenter, Mark H., Dalcin, Lisandro, Friedrich, Lucas, Winters, Andrew R., Gassner, Gregor J. and Parsani, Matteo (2020). Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. Technical Report.

Gassner, Gregor J., Svärd, Magnus and Hindenlang, Florian J. (2020). Stability issues of entropy-stable and/or split-form high-order schemes -- Analysis of local linear stability. 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, Hochmuth, Christian and Klawonn, Axel ORCID: 0000-0003-4765-7387 (2020). Reduced dimension GDSW coarse spaces for monolithic Schwarz domain decomposition methods for incompressible fluid flow problems. Int. J. Numer. Methods Eng., 121 (6). S. 1101 - 1120. HOBOKEN: WILEY. ISSN 1097-0207

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.

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.

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 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 and Lanser, Martin (2019). Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids. Technical Report.

Winters, Andrew R., Czernik, Christof, Schily, Moritz B. and Gassner, Gregor J. (2019). Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Technical Report.

Bohm, Marvin, Schermeng, Sven, Winters, Andrew R., Gassner, Gregor J. and Jacobs, Gustaaf B. (2019). Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element 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.

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Rheinbach, Oliver, Röver, Friederike, Sandfeld, Stefan and Steinberger, Dominik (2019). Applying the FROSch Overlapping Schwarz Preconditioner for Dislocation Mechanics in Deal.II. 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.

Giese, Daniel, Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha 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 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.

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.

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2019). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. Technical Report.

Derigs, Dominik, Gassner, Gregor J., Walch, Stefanie and Winters, Andrew R. (2019). Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics. Technical Report.

Friedrich, Lucas, Schnücke, Gero, Winters, Andrew R., Del Rey Fernandez, David C., Gassner, Gregor J. and Carpenter, Mark H. (2019). Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. Technical Report.

Friedrich, Lucas, Winters, Andrew R., Del Rey Fernandez, David C., Gassner, Gregor J., Parsani, Matteo and Carpenter, Mark H. (2019). An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. Technical Report.

Bohm, Marvin, Winters, Andrew R., Gassner, Gregor J., Derigs, Dominik ORCID: 0000-0002-9687-2035, Hindenlang, Florian and Saur, Joachim (2019). An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and Numerical Verification. Technical Report.

Winters, Andrew R., Moura, Rodrigo C., Mengaldo, Gianmarco, Gassner, Gregor J., Walch, Stefanie, Peiro, Joaquim and Sherwin, Spencer J. (2019). A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. Technical Report.

Schnücke, Gero, Krais, Nico, Bolemann, Thomas and Gassner, Gregor J. (2019). Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes with Summation-by-Parts Property for Hyperbolic Conservation Laws. Technical Report.

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

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2019). ADAPTIVE GDSW COARSE SPACES FOR OVERLAPPING SCHWARZ METHODS IN THREE DIMENSIONS. SIAM J. Sci. Comput., 41 (5). S. A3045 - 28. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Hochmuth, Christian and Klawonn, Axel ORCID: 0000-0003-4765-7387 (2019). MONOLITHIC OVERLAPPING SCHWARZ DOMAIN DECOMPOSITION METHODS WITH GDSW COARSE SPACES FOR INCOMPRESSIBLE FLUID FLOW PROBLEMS. SIAM J. Sci. Comput., 41 (4). S. C291 - 26. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Heinlein, Alexander and Lanser, Martin (2018). Coarse Spaces for Nonlinear Schwarz Methods on Unstructured Grids. 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, 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.

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 and Kühn, Martin Joachim ORCID: 0000-0002-0906-6984 (2018). Local spectra of adaptive domain decomposition methods. 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.

Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver (2018). Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. 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.

Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J. and Warburton, Timothy (2018). An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. 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, 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.

Chokkalingam, Manopriya (2018). Understanding longevity sub-networks using network propagation algorithms. PhD thesis, Universität zu Köln.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kuehn, Martin and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). ADAPTIVE FETI-DP AND BDDC METHODS WITH A GENERALIZED TRANSFORMATION OF BASIS FOR HETEROGENEOUS PROBLEMS. Electron. Trans. Numer. Anal., 49. S. 1 - 28. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Brenner, Susanne, Cai, Xiao-Chuan, Gander, Martin J., Klawonn, Axel ORCID: 0000-0003-4765-7387, Sarkis, Marcus and Szyld, Daniel B. (2018). Dedicated to Olof B. Widlund on the occasion of his 80th birthday. Electron. Trans. Numer. Anal., 49. S. VII - 2. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). NONLINEAR BDDC METHODS WITH APPROXIMATE SOLVERS. Electron. Trans. Numer. Anal., 49. S. 244 - 274. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). MULTISCALE COARSE SPACES FOR OVERLAPPING SCHWARZ METHODS BASED ON THE ACMS SPACE IN 2D. Electron. Trans. Numer. Anal., 48. S. 156 - 183. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin ORCID: 0000-0002-4232-9395, Rheinbach, Oliver ORCID: 0000-0002-9310-8533 and Uran, Matthias (2017). NONLINEAR FETI-DP AND BDDC METHODS: A UNIFIED FRAMEWORK AND PARALLEL RESULTS. SIAM J. Sci. Comput., 39 (6). S. C417 - 35. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197