3 papers
math.NA2026
Accelerating Conjugate Gradient Solvers for Homogenization Problems with Unitary Neural Operators
Julius Herb, Felix Fritzen
Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand fo…
cs.LG2025
Spectral Normalization and Voigt-Reuss net: A universal approach to microstructure-property forecasting with physical guarantees
Sanath Keshav, Julius Herb, Felix Fritzen
Heterogeneous materials are crucial to producing lightweight components, functional components, and structures composed of them. A crucial step in the design process is the rapid e…
math.DS2024
Data-driven identification of latent port-Hamiltonian systems
Johannes Rettberg, Jonas Kneifl, Julius Herb +3
Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes…