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20232025
most citedMachine learning and domain decomposition methods -- a survey

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2025

A Flow-rate-conserving CNN-based Domain Decomposition Method for Blood Flow Simulations

Simon Klaes, Axel Klawonn, Natalie Kubicki +4

This work aims to predict blood flow with non-Newtonian viscosity in stenosed arteries using convolutional neural network (CNN) surrogate models. An alternating Schwarz domain deco…

cs.CV2024

Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks

Axel Klawonn, Martin Lanser, Janine Weber

In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neura…

cs.CV2024

Model Parallel Training and Transfer Learning for Convolutional Neural Networks by Domain Decomposition

Axel Klawonn, Martin Lanser, Janine Weber

Deep convolutional neural networks (CNNs) have been shown to be very successful in a wide range of image processing applications. However, due to their increasing number of model p…

math.NA2023

Learning Adaptive Constraints in Nonlinear FETI-DP Methods

Axel Klawonn, Martin Lanser, Janine Weber

While linear FETI-DP (Finite Element Tearing and Interconnecting - Dual Primal) is an efficient iterative domain decomposition solver for discretized linear PDEs (partial different…

math.NA2023★ 2 cited

Machine learning and domain decomposition methods -- a survey

Axel Klawonn, Martin Lanser, Janine Weber

Hybrid algorithms, which combine black-box machine learning methods with experience from traditional numerical methods and domain expertise from diverse application areas, are prog…

cs.LG2023

A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems

Axel Klawonn, Martin Lanser, Janine Weber

Deep neural networks (DNNs) and, in particular, convolutional neural networks (CNNs) have brought significant advances in a wide range of modern computer application problems. Howe…