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Alexander Heinlein

Multilevel domain decomposition-based architectures for physics-informed neural networks
2024 · Victorita Dolean, Alexander Heinlein, et al. · Computer Methods in Applied Mechanics and Engineering · 144
Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review
2021 · Alexander Heinlein, Axel Klawonn, et al. · GAMM-Mitteilungen · 84
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Finite basis Kolmogorov-Arnold networks: Domain decomposition for data-driven and physics-informed problems
2026 · Amanda A. Howard, Bruno Jacob, et al. · Advances in Computational Mathematics · 68
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Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains
2015 · Daniel Balzani, Simone Deparis, et al. · International Journal for Numerical Methods in Biomedical Engineering · 51
A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos
2016 · Alexander Heinlein, Axel Klawonn, et al. · SIAM Journal on Scientific Computing · 43
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
2019 · Alexander Heinlein, Axel Klawonn, et al. · SIAM Journal on Scientific Computing · 39
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
2018 · Alexander Heinlein, Axel Klawonn, et al. · ETNA - Electronic Transactions on Numerical Analysis · 36
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Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints
2019 · Alexander Heinlein, Axel Klawonn, et al. · SIAM Journal on Scientific Computing · 30
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems
2019 · Alexander Heinlein, Christian Hochmuth, et al. · SIAM Journal on Scientific Computing · 29
Trilinos: Enabling Scientific Computing across Diverse Hardware Architectures at Scale
2026 · Matthias Mayr, Alexander Heinlein, et al. · ACM Transactions on Mathematical Software · 28
Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks
2021 · Viktor Grimm, Alexander Heinlein, et al. · ETNA - Electronic Transactions on Numerical Analysis · 27
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Machine learning for phase-resolved reconstruction of nonlinear ocean wave surface elevations from sparse remote sensing data
2023 · Svenja Ehlers, Marco Klein, et al. · Ocean Engineering · 26
FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos
2020 · Alexander Heinlein, Axel Klawonn, et al. · Lecture notes in computational science and engineering · 25
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
2022 · Alexander Heinlein, Mauro Perego, et al. · SIAM Journal on Scientific Computing · 20
Surrogate convolutional neural network models for steady computational fluid dynamics simulations
2022 · Matthias Eichinger, Alexander Heinlein, et al. · ETNA - Electronic Transactions on Numerical Analysis · 20
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Reduced dimension GDSW coarse spaces for monolithic Schwarz domain decomposition methods for incompressible fluid flow problems
2019 · Alexander Heinlein, Christian Hochmuth, et al. · International Journal for Numerical Methods in Engineering · 20
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Multifidelity domain decomposition-based physics-informed neural networks and operators for time-dependent problems
2024 · Heinlein, Alexander, Howard, Amanda A., et al. · arXiv (Cornell University) · 19
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Combining Machine Learning and Adaptive Coarse Spaces---A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions
2021 · Alexander Heinlein, Axel Klawonn, et al. · SIAM Journal on Scientific Computing · 19
The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results
2015 · A. Heinlein, U. Hetmaniuk, et al. · Journal of Computational and Applied Mathematics · 19
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Comparison of arterial wall models in fluid–structure interaction simulations
2023 · D. Balzani, A. Heinlein, et al. · Computational Mechanics · 17
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Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition
2025 · Yong Shang, Alexander Heinlein, et al. · Computer Methods in Applied Mechanics and Engineering · 16
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Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks
2025 · Viktor Grimm, Alexander Heinlein, et al. · Journal of Computational Physics · 16
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods
2022 · Alexander Heinlein, Axel Klawonn, et al. · SIAM Journal on Scientific Computing · 16
Stationary Flow Predictions Using Convolutional Neural Networks
2020 · Matthias Eichinger, Alexander Heinlein, et al. · Lecture notes in computational science and engineering · 15
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids
2020 · Alexander Heinlein, Martin Lanser · SIAM Journal on Scientific Computing · 15
Works count: 116
Citation count: 1,171
H-index: 19
I10-index: 32
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