Alexander Heinlein

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 34

Top Topics

Decomposition Methods

Intravascular Ultrasound

Machine Learning

Parallel Implementation

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

Publications

Corné Verburg, Alexander Heinlein, Eric C. Cyr
DDU-Net: A Domain Decomposition-based CNN for High-Resolution Image Segmentation on Multiple GPUs. CoRR (2024)
Alexander Heinlein, Amanda A. Howard, Damien Beecroft, Panos Stinis
Multifidelity domain decomposition-based physics-informed neural networks for time-dependent problems. CoRR (2024)
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 (2024)
Viktor Grimm, Alexander Heinlein, Axel Klawonn
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. CoRR (2023)
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 (2023)
Elena Giammatteo, Alexander Heinlein, Matthias Schlottbom
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation. CoRR (2023)
Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley
Multilevel domain decomposition-based architectures for physics-informed neural networks. CoRR (2023)
Anouk Zandbergen, Tycho van Noorden, Alexander Heinlein
Improving Pseudo-Time Stepping Convergence for CFD Simulations With Neural Networks. CoRR (2023)
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) (2023)
Alexander Heinlein, Oliver Rheinbach, Friederike Röver
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions. Comput. Methods Appl. Math. 23 (4) (2023)
Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam
An Experimental Study of Two-Level Schwarz Domain Decomposition Preconditioners on GPUs. CoRR (2023)
Alexander Heinlein, Axel Klawonn, Martin Lanser
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian. SIAM J. Sci. Comput. 45 (3) (2023)
Alexander Heinlein, Björn Kiefer, Stefan Prüger, Oliver Rheinbach, Friederike Röver
A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics. CoRR (2023)
Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam
An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs. IPDPS (2023)
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 (2023)
Stefan Frei, Alexander Heinlein
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth. J. Comput. Phys. 491 (2023)
Alexander Heinlein, Mauro Perego, Sivasankaran Rajamanickam
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica. SIAM J. Sci. Comput. 44 (2) (2022)
Alexander Heinlein, Kathrin Smetana
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces. CoRR (2022)
Stefan Frei, Alexander Heinlein
Efficient coarse correction for parallel time-stepping in plaque growth simulations. CoRR (2022)
Stefan Frei, Alexander Heinlein
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth. CoRR (2022)
Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley
Finite basis physics-informed neural networks as a Schwarz domain decomposition method. CoRR (2022)
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) (2022)
Stefan Frei, Alexander Heinlein, Thomas Richter
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. CoRR (2021)
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) (2021)
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) (2020)
Matthias Eichinger, Alexander Heinlein, Axel Klawonn
Stationary Flow Predictions Using Convolutional Neural Networks. ENUMATH (2019)
Alexander Heinlein, Christian Hochmuth, Axel Klawonn
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems. ENUMATH (2019)
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) (2019)
Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling. ENUMATH (2019)
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) (2019)
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) (2019)
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)
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 (2015)
Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. ENUMATH (2015)