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ORCIDAlexander Heinlein
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Books and Theses
- 2016
[b1]Alexander Heinlein
:
Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems. University of Cologne, Germany, 2016
Journal Articles
- 2023
- [j13]Alexander Heinlein, Oliver Rheinbach, Friederike Röver:
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions. Comput. Methods Appl. Math. 23(4): 953-968 (2023) - [j12]Stefan Frei, Alexander Heinlein:
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth. J. Comput. Phys. 491: 112347 (2023) - [j11]Alexander Heinlein, Axel Klawonn, Martin Lanser:
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian. SIAM J. Sci. Comput. 45(3): S152-S172 (2023) - [j10]Alexander Heinlein, Oliver Rheinbach, Friederike Röver:
Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer. SIAM J. Sci. Comput. 45(3): S173-S198 (2023) - 2022
- [j9]Alexander Heinlein, Mauro Perego, Sivasankaran Rajamanickam:
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica. SIAM J. Sci. Comput. 44(2): 339- (2022) - [j8]Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, Olof B. Widlund:
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods. SIAM J. Sci. Comput. 44(3): 1176- (2022) - 2021
- [j7]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. SIAM J. Sci. Comput. 43(5): S816-S838 (2021) - 2020
- [j6]Alexander Heinlein, Martin Lanser:
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids. SIAM J. Sci. Comput. 42(4): A2461-A2488 (2020) - 2019
- [j5]Alexander Heinlein, Christian Hochmuth, Axel Klawonn:
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems. SIAM J. Sci. Comput. 41(4): C291-C316 (2019) - [j4]Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach:
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions. SIAM J. Sci. Comput. 41(5): A3045-A3072 (2019) - [j3]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(6): A3887-A3912 (2019) - 2016
- [j2]Alexander Heinlein, Axel Klawonn, Oliver Rheinbach:
A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos. SIAM J. Sci. Comput. 38(6) (2016) - 2015
- [j1]Alexander Heinlein, Ulrich Hetmaniuk, Axel Klawonn, Oliver Rheinbach:
The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results. J. Comput. Appl. Math. 289: 116-133 (2015)
Conference and Workshop Papers
- 2023
- [c5]Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam:
An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs. IPDPS 2023: 680-689 - 2019
- [c4]Alexander Heinlein, Christian Hochmuth, Axel Klawonn:
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems. ENUMATH 2019: 531-539 - [c3]Matthias Eichinger, Alexander Heinlein, Axel Klawonn:
Stationary Flow Predictions Using Convolutional Neural Networks. ENUMATH 2019: 541-549 - [c2]Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber:
Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling. ENUMATH 2019: 593-603 - 2015
- [c1]Alexander Heinlein, Axel Klawonn, Oliver Rheinbach:
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. ENUMATH 2015: 521-530
Informal and Other Publications
- 2024
- [i20]Alexander Heinlein, Amanda A. Howard, Damien Beecroft, Panos Stinis:
Multifidelity domain decomposition-based physics-informed neural networks for time-dependent problems. CoRR abs/2401.07888 (2024) - [i19]Amanda A. Howard, Bruno Jacob, Sarah H. Murphy, Alexander Heinlein, Panos Stinis:
Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems. CoRR abs/2406.19662 (2024) - [i18]Corné Verburg, Alexander Heinlein, Eric C. Cyr:
DDU-Net: A Domain Decomposition-based CNN for High-Resolution Image Segmentation on Multiple GPUs. CoRR abs/2407.21266 (2024) - [i17]Erik Sieburgh, Alexander Heinlein, Vandana Dwarka, Cornelis Vuik:
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems. CoRR abs/2408.03571 (2024) - [i16]Filipe A. C. S. Alves, Alexander Heinlein, Hadi Hajibeygi:
A computational study of algebraic coarse spaces for two-level overlapping additive Schwarz preconditioners. CoRR abs/2408.08187 (2024) - [i15]Victorita Dolean, Serge Gratton, Alexander Heinlein, Valentin Mercier:
Two-level deep domain decomposition method. CoRR abs/2408.12198 (2024) - [i14]Tirtho S. Saha, Alexander Heinlein, Cordula Reisch:
Towards Model Discovery Using Domain Decomposition and PINNs. CoRR abs/2410.01599 (2024) - 2023
- [i13]Elena Giammatteo, Alexander Heinlein, Matthias Schlottbom:
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation. CoRR abs/2303.06671 (2023) - [i12]Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam:
An Experimental Study of Two-Level Schwarz Domain Decomposition Preconditioners on GPUs. CoRR abs/2304.04876 (2023) - [i11]Svenja Ehlers, Marco Klein, Alexander Heinlein, Mathies Wedler, Nicolas Desmars, Norbert P. Hoffmann, Merten Stender:
Machine learning for phase-resolved reconstruction of nonlinear ocean wave surface elevations from sparse remote sensing data. CoRR abs/2305.11913 (2023) - [i10]Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley:
Multilevel domain decomposition-based architectures for physics-informed neural networks. CoRR abs/2306.05486 (2023) - [i9]Daniel Balzani, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Sassmannshausen, Klemens Uhlmann:
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods. CoRR abs/2307.02972 (2023) - [i8]Viktor Grimm, Alexander Heinlein, Axel Klawonn:
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. CoRR abs/2308.02137 (2023) - [i7]Anouk Zandbergen, Tycho van Noorden, Alexander Heinlein:
Improving Pseudo-Time Stepping Convergence for CFD Simulations With Neural Networks. CoRR abs/2310.06717 (2023) - [i6]Alexander Heinlein, Björn Kiefer, Stefan Prüger, Oliver Rheinbach, Friederike Röver:
A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics. CoRR abs/2310.12659 (2023) - 2022
- [i5]Stefan Frei, Alexander Heinlein:
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth. CoRR abs/2203.06526 (2022) - [i4]Stefan Frei, Alexander Heinlein:
Efficient coarse correction for parallel time-stepping in plaque growth simulations. CoRR abs/2207.02081 (2022) - [i3]Alexander Heinlein, Kathrin Smetana:
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces. CoRR abs/2207.05559 (2022) - [i2]Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley:
Finite basis physics-informed neural networks as a Schwarz domain decomposition method. CoRR abs/2211.05560 (2022) - 2021
- [i1]Stefan Frei, Alexander Heinlein, Thomas Richter:
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. CoRR abs/2106.09394 (2021)
Coauthor Index
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