ECCOMAS 2024

Keynote

Nonlinear domain decomposition methods combined with deep learning

  • Klawonn, Axel (Universität zu Köln)
  • Lanser, Martin (Universität zu Köln)
  • Weber, Janine (Universiät zu Köln)

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In nonlinear-FETI-DP domain decomposition methods the choice of the nonlinear elimination set and of the coarse space have a huge impact on the nonlinear and linear convergence behavior. In this talk, we will show new results combining recently developed approaches for the adaptive choice of the nonlinear elimination set with adaptive coarse spaces. Additionally, we will discuss approaches to improve the computational efficiency and nonlinear convergence by enhancing Nonlinear-FETI-DP with techniques from machine learning.