Author

A. Klawonn

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Preprint Oct 2026

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

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 virtual element methods (VEM) are investigated and applied to the Poisson problem in 2D. The GDSW coarse space is a well-established robust cho...

Tommaso Bevilacqua, A. Klawonn, M. Lanser et al. · 0 citations

Preprint Sep 2026

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

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 essential to cope with extremely large data sets or dynamically growing disease data, like in a pandemic like situation. In this retrospecti...

Janine Weber-Hamacher, Astha Jaiswal, P. Fervers et al. · 0 citations

Preprint Aug 2026

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

For open-porous materials, incorporating their microstructural properties into mechanical simulations poses a significant challenge for accurately capturing elastic deformation. To deal with this difficulty, multiscale methods are a common tool to couple characteristics of the microstructure of the considered material...

A. Klawonn, M. Lanser, Lucas Mager et al. · 0 citations

Jul 2026

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

A two-stage approach is proposed in which regression neural networks are used to predict the adaptive coarse basis functions, while a classification neural network is employed to predict the number of basis functions required to ensure robustness, and particular attention is paid to problem-specific aspects.

A. Klawonn, M. Lanser, Janine Weber-Hamacher · arXiv.org · 0 citations