96 citations · 123 across the 12 of their papers we have counts for
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A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics
Alexander Heinlein, Bjoern Kiefer, Stefan Prüger +2
Sparse direct linear solvers are at the computational core of domain decomposition preconditioners and therefore have a strong impact on their performance. In this paper, we consid…
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks
Viktor Grimm, Alexander Heinlein, Axel Klawonn
In recent years, the concept of introducing physics to machine learning has become widely popular. Most physics-inclusive ML-techniques however are still limited to a single geomet…
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods
Daniel Balzani, Alexander Heinlein, Axel Klawonn +5
A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial…
Multilevel domain decomposition-based architectures for physics-informed neural networks
Victorita Dolean, Alexander Heinlein, Siddhartha Mishra +1
Physics-informed neural networks (PINNs) are a powerful approach for solving problems involving differential equations, yet they often struggle to solve problems with high frequenc…
Machine learning for phase-resolved reconstruction of nonlinear ocean wave surface elevations from sparse remote sensing data
Svenja Ehlers, Marco Klein, Alexander Heinlein +4
Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wa…
An Experimental Study of Two-Level Schwarz Domain Decomposition Preconditioners on GPUs
Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam
The generalized Dryja--Smith--Widlund (GDSW) preconditioner is a two-level overlapping Schwarz domain decomposition (DD) preconditioner that couples a classical one-level overlappi…
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation
Elena Giammatteo, Alexander Heinlein, Matthias Schlottbom
In this work we propose and analyze an extension of the approximate component mode synthesis (ACMS) method to the heterogeneous Helmholtz equation. The ACMS method has originally b…