Alexander Heinlein
Orcid: 0000-0003-1578-8104
According to our database1,
Alexander Heinlein
authored at least 50 papers
between 2015 and 2025.
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Bibliography
2025
Few-Shot Learning by Explicit Physics Integration: An Application to Groundwater Heat Transport.
CoRR, July, 2025
Monolithic and Block Overlapping Schwarz Preconditioners for the Incompressible Navier-Stokes Equations.
CoRR, June, 2025
Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning.
CoRR, April, 2025
Numerical study on hyper parameter settings for neural network approximation to partial differential equations.
CoRR, March, 2025
Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale.
CoRR, March, 2025
Algebraic Construction of Adaptive Coarse Spaces for Two-Level Schwarz Preconditioners.
SIAM J. Sci. Comput., 2025
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks.
J. Comput. Phys., 2025
Comput. Math. Appl., 2025
DDU-Net: A Domain Decomposition-Based CNN for High-Resolution Image Segmentation on Multiple GPUs.
IEEE Access, 2025
2024
Overlapping Schwarz Preconditioners for Randomized Neural Networks with Domain Decomposition.
CoRR, 2024
CoRR, 2024
Towards Graph Neural Network Surrogates Leveraging Mechanistic Expert Knowledge for Pandemic Response.
CoRR, 2024
CoRR, 2024
High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals.
CoRR, 2024
A computational study of algebraic coarse spaces for two-level overlapping additive Schwarz preconditioners.
CoRR, 2024
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems.
CoRR, 2024
Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems.
CoRR, 2024
Multifidelity domain decomposition-based physics-informed neural networks for time-dependent problems.
CoRR, 2024
2023
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth.
J. Comput. Phys., October, 2023
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions.
Comput. Methods Appl. Math., October, 2023
Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer.
SIAM J. Sci. Comput., June, 2023
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian.
SIAM J. Sci. Comput., June, 2023
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods.
CoRR, 2023
Multilevel domain decomposition-based architectures for physics-informed neural networks.
CoRR, 2023
Machine learning for phase-resolved reconstruction of nonlinear ocean wave surface elevations from sparse remote sensing data.
CoRR, 2023
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation.
CoRR, 2023
An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs.
Proceedings of the IEEE International Parallel and Distributed Processing Symposium, 2023
2022
SIAM J. Sci. Comput., 2022
SIAM J. Sci. Comput., 2022
Finite basis physics-informed neural networks as a Schwarz domain decomposition method.
CoRR, 2022
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces.
CoRR, 2022
CoRR, 2022
2021
Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions.
SIAM J. Sci. Comput., 2021
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth.
CoRR, 2021
2020
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids.
SIAM J. Sci. Comput., 2020
2019
Machine Learning in Adaptive Domain Decomposition Methods - Predicting the Geometric Location of Constraints.
SIAM J. Sci. Comput., 2019
SIAM J. Sci. Comput., 2019
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems.
SIAM J. Sci. Comput., 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2016
Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems
PhD thesis, 2016
A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos.
SIAM J. Sci. Comput., 2016
2015
The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results.
J. Comput. Appl. Math., 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015