Julius Herb

Submitted:

• Herb, J. & Fritzen, F. (2025). Accelerating Conjugate Gradient Solvers for Homogenization Problems with Unitary Neural Operators. Available at: doi.org/10.13140/RG.2.2.29013.54246, doi.org/10.48550/arXiv.2508.02681

Published:

• Rettberg, J., Kneifl, J., Herb, J., Buchfink, P., Fehr, J. & Haasdonk, B. (2025). Data-driven identification of latent port-Hamiltonian systems. Computational Science and Engineering. DOI: 10.1007/s44207-025-00007-2
• Keshav, S., Herb, J. & Fritzen, F. (2025). Spectral Normalization and Voigt-Reuss net: A universal approach to microstructure-property forecasting with physical guarantees. GAMM-Mitteilungen. DOI: 10.1002/gamm.70005
• Fritzen, F., Herb, J. & Sharba, S. (2024). Thermo-Plastic Nonuniform Transformation Field Analysis for Eigenstress Analysis of Materials Undergoing Laser Melt Injection. Computer Methods in Applied Mechanics and Engineering (CMAME). DOI: 10.1016/j.cma.2024.117487
• Sharba, S., Herb, J. & Fritzen, F. (2023). Reduced order homogenization of thermoelastic materials with strong temperature dependence and comparison to a machine-learned model. Archive of Applied Mechanics, 93, 2855-2876. DOI: 10.1007/s00419-023-02411-6

• 22. September 2025: 11th GACM Colloquium on Computational Mechanics (GACM 2025), Braunschweig, "GPU-Accelerated FE² Simulations via Batched Microscale Solvers"
• 18. February 2025: ECCOMAS Artificial Intelligence and Computational Methods in Applied Science (AICOMAS 2025), Paris, "FNO-CG: Accelerating Conjugate Gradient Solvers for Homogenization Problems with Fourier Neural Operators"
• 12. February 2025: GAMM Workshop Data-driven modeling and numerical simulation of microstructured materials (GAMM AG Data), Darmstadt, "FNO-CG: Accelerating Conjugate Gradient Solvers for Homogenization Problems with Fourier Neural Operators"
• 25. September 2024: DGM Materials Science and Engineering (MSE 2024), Darmstadt, "FNO-CG: Accelerating CG solvers using Fourier Neural Operators (FNOs)"

• Keshav, S., Herb, J. & Fritzen, F. (2025). VoigtReussNet https://github.com/DataAnalyticsEngineering/VoigtReussNet
• Keshav, S., Herb, J. & Fritzen, F. (2025). Supplemental data for "Spectral Normalization and Voigt–Reuss net: A universal approach to microstructure‐property forecasting with physical guarantees", https://doi.org/10.18419/darus-5120, DaRUS
• Herb, J., Keshav, S. & Fritzen, F. (2024). NFDI-Matwerk demonstrator https://github.com/DataAnalyticsEngineering/nfdi-demonstrator
• Fritzen, F., Herb, J. & Sharba, S. (2024). ThermoNTFA https://github.com/DataAnalyticsEngineering/ThermoNTFA
• Fritzen, F., Herb, J. & Sharba, S. (2024). Supplemental data for "Thermo-plastic Nonuniform Transformation Field Analysis for eigenstress analysis of materials undergoing laser melt injection", https://doi.org/10.18419/darus-4509, DaRUS
• Kneifl, J., Rettberg, J. & Herb, J. (2024) ApHIN - Autoencoder-based port-Hamiltonian Identification Networks https://github.com/Institute-Eng-and-Comp-Mechanics-UStgt/ApHIN
• Sharba, S., Herb. J. & Fritzen, F. (2023). AdaptiveThermoMechROM, https://github.com/DataAnalyticsEngineering/AdaptiveThermoMechROM

ORCID: 0000-0003-1628-6667

Google scholar: https://scholar.google.com/citations?user=XhtyRXAAAAAJ

GitHub: https://github.com/juliusgh

arXiv: https://arxiv.org/a/herb_j_1.html

SSRN: https://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=6959190