Alexander Heinlein

Multilevel domain decomposition-based architectures for physics-informed neural networks

Victorita Dolean, Alexander Heinlein, Siddhartha Mishra et al. · Computer Methods in Applied Mechanics and Engineering · 2024 · 69 citations · Full text

Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review

Alexander Heinlein, Axel Klawonn, Martin Lanser et al. · GAMM-Mitteilungen · 2021 · 61 citations · Full text

Numerical Analysis, Artificial Intelligence, Numerical Method For Partial Differential Equation +15

Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains

Daniel Balzani, Simone Deparis, Simon Fausten et al. · International Journal for Numerical Methods in Biomedical Engineering · 2015 · 49 citations · Full text

Numerical Analysis, Engineering, Fluid Mechanics +25

Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions

Alexander Heinlein, Axel Klawonn, Jascha Knepper et al. · SIAM Journal on Scientific Computing · 2019 · 38 citations

Numerical Analysis, Spectral Theory, Engineering +16

Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D

Alexander Heinlein, Axel Klawonn, Jascha Knepper et al. · ETNA - Electronic Transactions on Numerical Analysis · 2018 · 35 citations · Full text

Numerical Analysis, Engineering, Microlocal Analysis +18