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20232026
most citedLearning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks

3 citations · 8 across the 21 of their papers we have counts for

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5 papers · 1 filter

math.NA2026

Two-level additive Schwarz preconditioners with GDSW coarse spaces for high-order discretizations in 2D

Tommaso Bevilacqua, Axel Klawonn, Martin Lanser +1

Two-level overlapping Schwarz preconditioners with Generalized Dryja-Smith-Widlund (GDSW) and Reduced GDSW (RGDSW) coarse spaces for high-order finite element methods (FEM) and vir…

cs.CV2026

Parallel Training Using a CNN-DNN Architecture for Accelerated Development of Diagnostic Models

Janine Weber-Hamacher, Astha Jaiswal, Philipp Fervers +8

Artificial intelligence has shown promise in assisting radiologists in imaging-based diagnosis across a wide range of diseases. Efficient training of large deep learning models is…

math.NA2026

Mixture of experts surrogate model for the homogenization of open-porous materials

Axel Klawonn, Martin Lanser, Lucas Mager +2

For open-porous materials, incorporating their microstructural properties into mechanical simulations poses a significant challenge for accurately capturing elastic deformation. To…

math.NA2026

Learning Adaptive Coarse Spaces Using Transferable Neural Network Models for Linear and Nonlinear Overlapping Domain Decomposition Methods

Axel Klawonn, Martin Lanser, Janine Weber-Hamacher

Domain decomposition methods have been established as efficient and parallel scalable iterative solvers and preconditioners for the solution of large-scale systems arising from the…

math.NA2026

Two-level nonlinear Schwarz methods - a parallel implementation with application to nonlinear elasticity and incompressible flow problems

Kyrill Ho, Axel Klawonn, Martin Lanser

Nonlinear Schwarz methods are a type of nonlinear domain decomposition method used as an alternative to Newton's method for solving discretized nonlinear partial differential equat…